Self-Operated Store or Franchised Store? Optimal Decisions for Online-to-Offline Supply Chain with a Demand Shift

Mutual shifts in offline and online demand have become the norm in supply chain operations.*e online-to-offline (O2O) supply chain system consists of a platform vendor, a physical store, and a product. *e platform vendor sells the product directly online and governs either the centralized decision-making of a self-operated store or the decentralized decision-making of a franchised store offline. In this study, supply chain decision models with and without demand shifts are constructed to obtain optimal wholesale and selling prices and to maximize profit. *e coordination mechanism under decentralized decision-making is designed to optimize the O2O supply chain, and the validity and applicability of the model are verified by numerical simulation. Results show that, regardless of whether a store is self-operated or franchised, the total profit of the system increases, and online and offline prices depend on a range of demand shifts. With an increased proportion of online demand shifts, the offline selling price and total profit of the system increase, whereas the online selling price and profit of the platform vendor decrease under decentralized decision-making. When the fixed transfer payment fee is within a certain range, a two-part-tariff contract can effectively coordinate the supply chain. *is study not only contributes to the theoretical literature on O2O supply chain systems but also provides practical decision-making support for managers.


Introduction
Recent developments in e-commerce have made it very convenient for customers to buy commodities and services. erefore, online-to-offline (O2O) sales are a widespread phenomenon. In the e-commerce era, many traditional enterprises have invested in the Internet, and substantial enterprises engage in both online and offline sales to achieve sustainable development [1]. In 2015, the merger of Meituan and Dianping became the hottest topic in discussions of industry on the Internet; this merger also pushed O2O to the forefront. Freshhema, Dianping, Ganji, and Koubei have all embraced the O2O business model. In this connection, researchers have designed a sustainable supply chain that considers life cycle assessment [2] and analyzed social welfare and price competition in a mixed duopoly [3]. At the same time, customers have shown an increasing preference for the diversification and individualization of products, causing companies to pursue a competitive advantage through adopting differentiated strategies. e traditional dual-channel model mainly involves the traditional e-commerce model of an offline physical channel and an online network channel. Users passively accept the system, and the relationship between partners is a game relationship.
e O2O model pays more attention to the integration of online and offline channels, integrates online and offline resources for collaborative development, and enables users to participate in the whole e-commerce process. Offline experiences feed online resources, and, reciprocally, online resources invigorate offline experiences. e relationship between the partners creates an ecosystem of win-win cooperation. e goal of supply chain management is hence no longer static coordination, but rather dynamic continuous optimization and coordination.
As O2O business modes and logistics technologies continue to develop, retail firms have become deeply integrated with the Internet in terms of internal operations, services, and product sales. An increasing number of firms are combining resources to achieve optimized resource allocation. For example, firms such as Suning, GOME, Jetsetter, Uniqlo, JD.com, Didi Taxi, Tencent, and Airbnb, having adopted dual-channel practices, now coordinate decision-making issues that mainly involve pricing systems, channel conflicts, inventory strategies, and consumer preferences. Zhang et al. [4] examined pricing decisions and services in a dual-channel supply chain. Madani and Rasti-Barzoki [5] discovered that subsidy rates benefit the sustainability of supply chains. Optimal distribution strategies were studied by Li et al. [6]. Research aiming to improve understanding of the O2O process was also evaluated by Reefke and Sundaram [7]. e mutual shift in offline and online demand has become normalized, affecting the decision-making of O2O players. e Internet has served as a new marketing mode, and more and more customers buy goods and services through the Internet as it grows in popularity. Major businesses have used a combination of online shopping malls and offline experience stores or self-built APPs (mobile client applications) to promote the integration of "online + offline" resources. Uniqlo provides a two-dimensional code scanning service and offline store query system for its physical stores through its APP and allows consumers to pay for products online and pick them up from offline stores. Uniqlo thus diverts consumers from online to offline resources and promotes the development of the O2O mode with its strong store network and high-quality offline retail services. As an online shopping platform trusted by consumers, JD.com has maintained deep cooperation with the Yonghui Supermarket in realizing O2O operations in China, successfully bringing online consumers to offline physical stores for consumption. e company has further enhanced its customers' experience by better serving offline customers through both direct and franchised stores. Metersbonwe, a casual apparel brand, has established offline experience stores, effectively operated direct and franchised stores, and shared online and offline resources. e two-dimensional code and computer terminal area available through the Suning.com store also supports free online and offline orders, while adopting the same price strategy for online and offline sales to achieve two-way drainage. In 2019, the total transaction volume of Tianmao's shopping carnival "Double Eleven" reached approximately $38.3 billion, reflecting annual growth of 26%.
In analyzing O2O supply chain systems, three issues must be addressed: (1) Under the O2O business model, ways of developing an optimized game decision model to maximize profit for platform vendors remain unexplored. Further research is needed to understand the effects of consumer demand shift behaviors.
(2) e dominant strategy of a platform vendor (i.e., self-operated versus franchised stores) should be based on the demand shift proportion. Coordinating online and offline prices and business strategies to cope with market demand shifts is critical to improving overall performance. (3) In the real market, game players compete for a market share for their own benefit. It is thus essential to determine which channels should be selected to improve economic efficiency.
e present study makes three contributions to research on selling as a part of business operations. First, it examines the influence of self-operated versus franchised stores on optimal performance, further enhancing understanding of online and offline selling strategies. Second, we explore how consumer demand shifts affect merchants' sales strategies. Configurations of products lead to a differentiation between online and offline prices, making it more difficult to draw product price comparisons and to keep shift effects aligned with the intentions of the business. Finally, a coordination mechanism is designed to optimize the O2O supply chain. e present work can thus help companies make operational decisions as they practice emerging forms of O2O commerce, improving economic performance through marketing functions. e general framework of this article is as follows. A literature review is given in Section 2, and model assumptions are provided in Section 3. In Sections 4 and 5, O2O supply chain decision models involving a shift in demand versus no shift in demand are constructed. In Section 6, a two-part-tariff contract is designed, and numerical simulation analyses are given in Section 7. Finally, Section 8 concludes.

Literature Review
In recent decades, many scholars and practitioners have been concerned with sustainable operations management, with researchers focusing on this domain as a means to expand knowledge about supply chains. A smaller body of research has been devoted to issues of supply chain management for self-operated versus franchised stores. In particular, in connection with O2O supply chain collaboration, the issues of consumer demand, channel selection, and the profit of game players have been discussed. Two main streams of research on this subject can be described as follows.
In one of the research streams, the literature has focused on pricing, coordination, operations management, and channel selection in supply chains. Matsumura and Ogawa [8] focused on quantity contracts and prices in a mixed duopoly. He et al. [9] looked at pricing and inventory decisions of perishable products in a supply chain. e products' deterioration rate has significant impacts on pricing and inventory decisions. Cheema and Papatla [10] examined the importance of Internet experiences and product categories and compared offline to online information. Chintagunta et al. [11], providing several metrics, investigated the quantification of costs when consumers move from online to offline to purchase groceries. Hua et al. [12] analyzed lead time decisions made in an online direct channel versus traditional channels. A two-stage optimization technique is used for centralized and decentralized decision-making. Lu and Liu [13] proposed that young people who lack shopping experience via traditional channels are more likely to make purchases online. Panda et al. [14] analyzed coordination and distribution strategies that consider corporate social responsibility. Zhang et al. [15] looked at how channel structure affects pricing decisions and how to choose the optimal channel structure accordingly. A purely offline retailer might open an online channel with little demand, just to get a wholesale price reduction.
Meanwhile, Pei and Yan [16] showed that mechanisms can be used effectively to motivate information sharing and to ensure the impact of an e-tailer's return policy. Zhang and Wang [17] studied how a firm's fairness concerns influence three-party supply chain coordination, showing through comparisons how online and traditional channel equilibrium prices, issues of demand, and the common retailer's profit are managed. Ji et al. [18] discussed initial carbon allowance allocation rules resulting from the O2O retail supply chain. eir results show that government decisionmaking plays a key role in sustainable development. Luo et al. [19] explored retailers' product choice decisions in the face of heterogeneous customer demands in the context of retail supply chain management. A revenue sharing contract is designed to achieve Pareto improvement. He et al. [20] focused on government subsidies and channel structure in a closed-loop supply chain. Governments can encourage manufacturers to adopt the expected channel structure by setting different levels of subsidies. Wang et al. [21] established different decision models in a fuzzy supply chain environment. He et al. [22] looked at corporate social responsibility (CSR) in an O2O tourism supply chain (TSC). TSCs should pay more attention to CSR and increase the fit between consumer channels and resale channels so as to create more total utility.
In the other research stream, scholars have considered demand-related decision problems encountered in supply chains. Liu et al. [23] developed a newsvendor model to explore channel coordination and returns handling decisions with demand uncertainty. When the consumer's return handling cost is increased, the expected market demand will be reduced. Cao et al. [24] focused on distribution channel choice under conditions of demand uncertainty. ey found that manufacturers can distribute more goods through their own retail stores and that independent retailers are optimally used when manufacturers sell highly substitutable products. While considering the cost of product returns, Ofek et al. [25] analyzed and compared prices and the amount of profit generated when dealing with monopolies versus duopolies. e demands of consumers differ with respect to online channels and physical store channels. If there is a difference in the likelihood of a return for different products, the retailer may only offer products with a lower return probability online and restrict the sale of risky products to traditional stores. Hu and Lu [26] developed a model for e-tailing and retailing distribution channels, analyzing the influence of demand uncertainty on expected profit and retail services using a stochastic comparison method. Balakrishnan et al. [27] looked at the effects of browse-and-switch behaviors on online pricing strategies and established an economic model in light of these effects. In this case, customers first visit a brick-and-mortar retail store to examine a product, and then decide whether to purchase it online or in store. Gao and Su [28] discussed the effects of buying products online and picking them up in store; they found that, although this channel-switching behavior can increase customer flow, the shift from online to offline store fulfillment may reduce profit margins. Cao et al. [29] analyzed the effects of an "online-to-store" channel on retailers' profitability and demand allocations. Such channel-switching behavior may generate additional demand while increasing retailers' operating costs. us, the retailer must select products for this channel carefully.
For their part, Wang et al. [30] discussed the effect of demand uncertainty and price competition on sustainable supply chains. Long and Shi [31] focused on pricing strategies used by an online travel agency and a tour operator in an O2O model. e corresponding offline and online demand functions are described, and cooperative and non-cooperative pricing equilibria are obtained from a Stackelberg and Bertrand game. Jing [32] examined the competition between online and traditional retailers in the context of showrooming. e demand for traditional retailers increases when an online store is opened. A return policy set by an online retailer relaxes competition but slightly reduces its demand. In 2019, Zhang et al. [33] discussed the "preorder-online, pickup-in-store" (POPU) strategy in a competition versus a monopoly case. e online and offline shoppers' demand is variable in different cases.
To facilitate comparison of this prior research with the present study and highlight what is innovative about this paper, Table 1 shows how the current study relates to recently published scholarship on demand-related decision problems.
In sum, the related literature has focused on channel selection and pricing decisions in O2O supply chains. In the context of upstream suppliers, the nature of shifts in consumer demand among game players has not been quantitatively researched. To address this gap, the present paper explores e-commerce both with shifts and without shifts in demand as a context, establishes an O2O supply chain decision-making model for offline experience stores (including the platform vendor's self-operated store as well as franchised stores), and designs a two-part-tariff contract. e study's conclusions contribute to theoretical discussions of O2O supply chain systems, while providing decisionmaking support for managers and suggesting how sustainable performance can be enhanced through marketing functions.

Model Assumptions
is paper explores a supply chain model in which a product is sold by a platform vendor and also in an offline experience store. e offline experience store can take two forms: a selfoperated store (centralized decision-making) and a Mathematical Problems in Engineering franchised store (decentralized decision-making). e platform vendor sells products to the offline franchised store. e wholesale price is w and the unit production cost is c. e vendor sells products to consumers through online direct sales and offline franchising (self-employed) channels. See Table 2 for further notation and explanations.
Online costs include distribution costs, platform operating costs, advertising and promotion costs, and others. Offline costs include facility costs, store rent, labor costs, decoration costs, and others. In general, the online selling price is lower than the offline selling price. Referring to the previous literature, we assume that the retail prices of different channels are different, with such price differentiation being a common business behavior. Consumers learn about the functions, prices, materials, and fabrication processes of products from online platforms. en, in order to avoid returns caused by mismatched products, they often go to offline physical stores to experience and purchase the matching products. is behavioral pattern constitutes the phenomenon of consumer demand shift from online to offline shopping. e demand shift proportion θ is determined by the market. e platform vendor will keep statistical records about consumer choices, formulate marketing strategies according to their desires, and guide consumers through channel-switching practices as necessary.
As assumed in previous studies (see Wang et al. [30]; Wei and Chen [34]), for cases involving no shift in consumer demand, the consumer's demand function via the online channel is given by q o � μa − βp o + cp s , while the consumer's demand function via the offline channel is given by Following previous research (see Wei and Chen [34]), the authors assume that 0 < c < β.
In the case of a shift in consumer demand, the demand function via the online channel is given by e demand function via the offline channel is then is the demand shift proportion and θ ≠ 0. θ > 0 indicates that product demand shifts from online to offline, and θ < 0 indicates that product demand shifts from offline to online. To make the model more intuitive and consistent with reality, in the O2O supply chain model, the demand shift proportion is taken as an endogenous variable; this allows the analyst to explore the impact of the demand shift proportion on price, demand, and profit. In addition, a numerical simulation analysis is carried out to verify the applicability and effectiveness of the model.
In keeping with real market conditions, the following necessary assumptions are made: c > 0, q o > 0, q s > 0, and c < w < p i , where i � o, s. ese assumptions imply that the unit production cost and selling prices are non-negative. However, the unit production cost must be lower than the wholesale and sales prices. Figure 1 describes the model; 1(a) shows the scenario for a self-operated store, while 1(b) shows the scenario for a franchised store.

An O2O Supply Chain Decision
Model without a Demand Shift e Offline Store as the Self-Operated Store of the Platform Vendor.
is scenario is regarded as the centralized decision-making model for the O2O supply chain (Zhang et al. [4]; Pei and Yan [16]). e goal is to set appropriate prices that benefit the entire system. e profit of the O2O supply chain is given by e platform vendor sets the product price. e first group is designated as the profit made by the platform vendor through online direct sales, and the second group is defined as the platform vendor's profit from offline sales.
at is, (2) Proposition 1 shows that there are optimal, unique offline and online prices for the platform vendor. e managerial implication of this proposition is as follows: for the platform vendor, under the sales strategy of self-operated stores, setting the optimal selling price not only benefits the vendor, but also maximizes the profit of the O2O supply chain as a whole. is result leads us to Lemma 1.

Lemma 1.
Under the sales strategy of a self-operated store, the optimal online price p c o monotonically increases around consumers' online preference coefficient μ. e optimal offline price p c s monotonically decreases around consumers' online preference coefficient μ.
From Lemma 1, it is evident that the optimal price changes with variations in consumers' preferences. e product price for the online channel increases when consumers' preferences intensify. In contrast, the offline price drops when consumers' online preferences intensify. e significance of this pattern for purposes of economic management is as follows: the increase of consumers' online preferences will lead to a decrease in the visitor flow in offline physical stores, while the increase of online prices will lead consumers to shop offline. At the same time, prices in offline physical stores will be reduced, guiding consumers to buy the product in physical stores. Business managers should reasonably control online and offline demand to maintain a balance of demand in different channels. In addition, the rates of online and offline price variation are equal but trend in opposing directions, in line with actual market operations. us, business managers should adopt appropriate marketing strategies to promote market demand over different channels.

Lemma 2.
e O2O supply chain's profit π c is a strictly differentiable concave function at (p o p s ). is scenario is regarded as a decentralized decision-making model of the O2O supply chain. A Stackelberg game model treats this scenario as a type of non-cooperative game. e offline store is the franchisee's store where the franchisee and platform vendor make independent decisions to pursue profit maximization. e profit of the platform vendor is given by at is, e profit of the franchisee is given by π s � (p s − w)q s . at is, e overall profit of the O2O supply chain is is proposition shows that there are unique optimal prices and unit wholesale prices. Under the sales strategy of a franchised store, setting the optimal selling price is beneficial not only to the platform vendor, but also to the franchisee.

Proposition 3. For the scenario involving no shift in demand, comparing online and offline prices for centralized and decentralized decision-making yields the following relation:
Proposition 3 indicates that consumers do not need to consider whether the platform vendor adopts the self-operation mode or franchising mode, as the online sales price remains unchanged. However, for products sold through the offline store, when the price sensitivity coefficient of the products is low, the prices of products sold by the franchisee are higher than the prices of products sold through the platform vendor's self-operated store. Business managers should therefore consider the influence of the selfprice sensitivity coefficient.
us, more profit can be obtained under the centralized decision-making mode. In other words, the self-operated store of the platform vendor is more competitive. Under the decentralized decision-making mode, due to the existence of a double marginal effect, and given that each player is pursuing profit maximization, the O2O supply chain cannot be coordinated, and overall operational efficiency is reduced.

e Offline Store as the Self-Operated Store of the Platform Vendor.
is scenario is regarded as the centralized decision-making model of the O2O supply chain. e goal is to set an appropriate price to maximize the benefits of the entire system. e overall profit of the O2O supply chain is at is, Proposition 4. For the scenario involving a shift in demand, under the sales strategy of the platform vendor's self-operated store, the optimal demand shift proportion θ c , offline price p c s1 , online price p c o1 , and O2O supply chain profit π c1 are, respectively, By substituting the optimal solution θ c of θ into p c o1 , p c s1 , π c1 , a simplified expression can be obtained. To facilitate the following discussion, this simplified expression of the proposition is adopted. Although the proof of Proposition 4 is omitted for brevity, this proposition shows that there is an optimal demand shift proportion, which maximizes revenue for the platform vendor. e platform vendor guides consumers to engage in channel-switching behavior by adopting appropriate online-to-offline marketing strategies, such as "online order, offline pickup," "online learning, offline purchase," and so on.

e Offline Store as the Franchised Store of the Platform Vendor.
is scenario is regarded as the decentralized decision-making model of the O2O supply chain. A Stackelberg game model considers this scenario as a type of noncooperative game. e offline store is the franchisee's store, and the franchisee and platform vendor independently make decisions in pursuit of profit maximization (Balakrishnan et al. [27]). e profit of the platform vendor is given by at is, e profit of the franchisee is π s1 � (p s − w)q s1 . at is, e overall profit of the O2O supply chain is then Proposition 5. In the scenario involving a shift in demand, under the sales strategy of the platform vendor's franchised store, the optimal demand shift proportion θ d , online price p d o1 , optimal offline price p d s1 , unit wholesale price w d1 , platform vendor profit π o1 , and franchisee's profit π s1 are, respectively,

Mathematical Problems in Engineering
By substituting the optimal solution θ d of θ into p d o1 , p d s1 , w d1 , π o1 , π s1 , a simplified expression can be obtained. To facilitate the following discussion, this simplified expression of the proposition is adopted. is proposition shows that there is an optimal demand shift proportion and unit wholesale price under the sales strategy of the franchised store and that this strategy maximizes revenue for the platform vendor and franchisee. Proposition 6. In the scenario involving a shift in demand, comparing online and offline prices for centralized and decentralized decision-making gives the following relation: As observed from Proposition 6, regardless of whether the platform vendor adopts a self-operation or a franchising mode, the online sales price remains unchanged. When the price sensitivity coefficient of goods is low, the prices of goods sold by the franchisee are higher than those of goods sold in the platform vendor's self-operated store. For either the self-operated or the franchised store, the platform vendor does not need to adjust online selling prices; rather, the vendor only has to consider the sales strategy for the offline channel to cope with the influence of consumer channel-switching behaviors on market share and operating efficiency.

Proposition 7.
A comparison of the wholesale price and online and offline sales prices before and after a shift in consumer demand shows the following: e centralized decision-making scenario: , regardless of what sales strategy the platform vendor adopts, when demand shifts from online to offline (0 < θ ≤ μ), the online selling price becomes lower than it was before the shift. However, the selling price of the offline store becomes higher than it was before the shift, and this price change can be used to manage the channel-conversion behavior of consumers. When demand shifts from offline to online (μ − 1 ≤ θ < 0), the online selling price becomes higher than it was before the shift, but the selling price of the offline store becomes lower than it was before the shift. In addition, under a decentralized decision mode, when demand shifts from online to offline, the wholesale price is increased to ensure that the platform vendor's profit is maintained. "Online purchase, offline experience" channelswitching behaviors provide customers a satisfying shopping experience and reduce the probability that they will return products due to mismatched products purchased online. Business managers should therefore focus on the impact of the demand shift proportion when it comes to consumers' channel-switching behaviors.
For the scenario involving a shift in demand, comparing the profit margin of the O2O supply chain gives Not surprisingly, the platform vendor can make more profit from their self-operated store than from a franchised store. Under the decentralized decision mode, the operational efficiency of the O2O supply chain is reduced, meaning that the supply chain requires further coordination and improvement.

Coordination Mechanism of the O2O Supply Chain
Since the participants in the supply chain follow the rules of economic maximization, the online platform vendor and offline franchisee pursue their own profit maximization schemes; their doing so has a "double marginal effect" and cannot achieve Pareto optimization under decentralized decision-making, reducing O2O supply chain system efficiency. Referring to previous literature [9,35,36], we apply a two-part-tariff contract to achieve a Pareto improvement under the O2O business model. In an actual commercial operation, the franchisee pays a service fee to coordinate game players, and with shifts in consumer demand, eliminating or weakening the "double marginal effect" can be facilitated by a two-part-tariff contract of the form (w T , F).
Here, w T represents the wholesale price of the product sold by the platform vendor to the franchisee, and F(F > 0) is the fixed transfer fee paid by the franchisee to the platform vendor. e online platform vendor's profit under a two-parttariff contract is e offline franchisee's profit is Proposition 8. Under decentralized decision-making, supply chain members can realize coordination through a two-part-tariff contract when contract parameters (w T , F) satisfy is proposition means that, under decentralized decision-making, the O2O supply chain can be effectively coordinated by designing an appropriate coordination mechanism. With the help of this mechanism, the gaining party compensates the losing party with part of the proceeds through transfer payments, so that both parties can benefit. When contract parameters meet certain conditions, participants can make optimal decisions to achieve the same benefits brought by centralized decision-making, and improve overall performance. is coordination mechanism is conducive to decision-makers and consumers jointly creating a win-win business ecosystem.

Numerical Simulation Analysis
To verify the validity and applicability of the model, this section discusses a shift in consumer demand from online to offline, considering the influence of the magnitude of this shift on the sales strategies of the platform vendor and the franchisee. To correlate relevant assumptions, and based on the existing literature, to simplify the calculation, parameters are set as a � 100, β � 0.6, c � 0.3, μ � 0.4, c � 50. If the relevant assumptions are satisfied, other values are also available and do not affect the results of the study. Based on these considerations, we analyze the influence of changes in the demand shift proportion on prices, demand, and profit, in order to provide a theoretical basis for the decisionmaking of business managers (Lu and Liu [13]; Ji et al. [18]). To present the research conclusions more intuitively, graphs and tables are presented. e results are shown in Figures 2-4 and Tables 3-5. Figure 2 shows changes in online and offline prices that occur with variations in the demand shift proportion. Under the two sales strategies, the online (offline) price decreases (increases), with an increase in the demand proportion. In addition, Table 3 shows that when the demand shift proportion (θ) remains at the same level, the offline price under centralized decision-making (p c s1 ) is lower than the offline price under decentralized decision-making (p d s1 ). For example, when θ � 0.1, then p c s1 � 119.44 and p d s1 � 142.36, and we observe that p c s1 < p d s1 . Regardless of the strategy adopted, the online prices of the platform vendor are equal Mathematical Problems in Engineering (p c o1 � p d o1 ), while the online price of the platform vendor (p c o1 ) is lower than that of the offline store (p c s1 )-such that the price is significantly affected by the shift proportion θ. For example, under centralized decision-making, when θ changes between (0.1, 0.2), p c o1 changes between (97.22, 91.67), and p c s1 changes between (119.44, 125.00), it is evident that θ has a significant impact on online and offline selling prices. As further observed, p c o1 < p c s1 . e platform vendor can lower the price of the online channel and promote products through marketing strategies, causing demand to shift from offline to online; the vendor can also dig deeper into potential demand and improve online sales performance. e curves shown in Figures 3 and 4 illustrate fluctuations in demand and profit.
e overall system's profit increases as the demand shift proportion increases. Under a decentralized decision-making strategy, a decrease in online demand (q d o1 ) will lead to a decrease in the platform's vendor profit (π o1 ) and at the same time an increase in the offline franchisee's profit (π s1 ). However, the overall system's profit (π d1 ) shows an increasing trend. When the demand shift proportion (θ) is maintained at the same level as shown in Table 4, online demand (q c o1 ) under centralized decision-making is lower than online demand under the decentralized scenario, and offline demand (q c s1 ) is higher than offline demand under the decentralized scenario. Table 5 shows changes in the profit of the game players. e overall system profit (π d1 ) achieved under decentralized decision-making is lower than that achieved under the centralized scenario, due to the existence of a "double marginal effect," resulting in a reduction of the system's profit. According to both Tables 4 and 5, under the decentralized scenario, when online demand (q d o1 ) changes from 18.13 to 10.63, the vender platform's online channel profit (π o1 ) drops from 1675.35 to 1661.46, but the offline franchisee's profit (π s1 ) is not as high. is indicates that θ has a more significant impact on the profit of the platform vendor than on the profit of the franchisee. However, according to the O2O supply chain, the overall system profit (π d1 π c1 ) shows an increasing trend.   Combined with the analyses in Figures 2-4 and Tables 3-5, we can deduce the following managerial insights.
(1) Regardless of whether one is managing a self-operated or a franchised store, the demand shift proportion has a significant impact on the prices, demand, and profit of all parties. Business managers should thus evaluate the channelswitching behaviors of consumers to maintain a balance of demand across channels. (2) e platform vendor guides consumers to engage in channel-switching behavior by adopting appropriate online-to-offline marketing strategies, such as "online order, offline pickup," "online learning, offline purchase," and so forth. Physical stores provide customers a satisfying shopping experience and reduce the probability that they will return products due to mismatched products purchased online. (3) e platform vendor improves operational efficiency and reduces costs in self-operated stores as well as franchised stores. e integration of the online virtual economy and the offline real economy is thus conducive to expanding market scale and enabling firms to adapt to dynamic market environments.

Conclusions
Consumer channel-switching behaviors create opportunities for e-commerce development, and merchants have innovated on their business models in response to these opportunities. We studied pricing and operational decisions made under mutual shifts of offline and online demand. Reasonable operational decisions make merchants more competitive, helping them achieve Pareto improvements and optimize social resources. Our three main conclusions can be summarized as follows.
First, we constructed O2O supply chain decision models both with and without shifts in demand. e platform vendor sells directly online, while the offline approach involves the two strategies of self-operated or franchised stores obtaining the optimal prices for the players involved and maximizing their respective profits. Regardless of which strategy is adopted, the overall system's profit increases. With the shift in demand from online to offline, the price offered on the online shopping platform is lower than it was before the shift, while the price offered in the offline store is higher than it was before the shift. When demand shifts from offline to online, the price offered on the online shopping platform is higher than it was before the shift, while the price offered in the offline store is lower than it was before the shift.
Second, a shift in consumer demand affects the platform vendor's sales strategies. e online demand shift proportion is directly proportional to the offline price and overall system's profit, and it is inversely proportional to the online price and platform vendor's profit under decentralized decision-making.
Finally, a coordination mechanism can be used to improve supply chain performance. Since supply chain participants are influenced by economic considerations, a "double marginal effect" is observed under decentralized decision-making, preventing the achievement of Pareto optimization. When the fixed transfer payment fee is within a certain range, the design of a two-part-tariff contract can coordinate game players. is coordination mechanism can help different stakeholders achieve improved decisionmaking efficiency and build a win-win business ecosystem.
is paper thus offers practical managerial insights, but there are still limitations. First, our model assumes that consumer demand changes linearly with price sensitivity to achieve fusion symbiosis and a seamless connection between the online virtual economy and offline real economy. is method is adopted as a practical approach to studying random demand and its effects on the development of sustainable marketing strategies. In addition, while we assume that a platform vendor operates under a two-line system, an offline brick-and-mortar store can also be operated through two-line operations, whereby users participate in a holistic shopping and purchasing experience. Outcomes of the latter scenario are worth studying in the future (Appendixes A and B). p d s1 � 1 4 β 3 − βc 2 c(β − c)(β + c) 2 + a 3β 2 (1 + θ − μ) +c 2 (−1 − θ + μ) + 2βc(−θ + μ) .

(A.12)
To ensure that the profit of the O2O supply chain under centralized decision-making is equal to that after coordination, p T o1 � p c o1 p T s1 � p c s1 must be satisfied by solving w T � 2cβ 2 + ac − 2cβc/2(β − c)(β + c) θ � μ − 1 + c(β − c)/a . We then have profit π T o1 and π T s1 . Since participants of the supply chain are economically driven, the benefit of the whole supply chain will only be considered when their own interests are maximized. Under the coordination mechanism, the profit of each game player is not lower than the profit achieved under decentralized decision-making, and both sides will achieve Pareto improvement. From simultaneous equations π T o1 ≥ π o1 π T s1 ≥ π s1 , the decision range of fixed transfer fee F is obtained as F ∈ [F 1 , F 2 ], where is completes the proof.