CEO’s name uniqueness and audit fee

ABSTRACT Borrowed from the relevant research on the impact of name uniqueness on one’s personality, our study extends the research perspective to its impact on external auditors. Using the data of Chinese listed firms in 2009–2019, we find a significantly positive relationship between CEOs’ name uniqueness and audit fees. Further study shows that this influence could be explained by its impact on CEOs' personality traits, resulting in strategic deviance or increased audit effort, rather than its impact on auditors' first impression. The impact of CEOs’ name uniqueness on audit fees is more pronounced when CEOs’ characteristics are more susceptible to their name uniqueness, when companies are more likely to attract auditors’ attention, or when auditors are more likely to be affected by their uniqueness. This paper extends the impact of CEOs’ personality traits on audit fees, and expands the understanding of CEOs and audit decision-making.


Introduction
Extant literature shows that CEOs' personality traits are the key factors affecting their major strategic decision-making process of a company (Cohen et al., 2002;Hambrick & Mason, 1984;Jiang et al., 2009). CEO's risk and personality preferences significantly increase a company's non-compliance risk (SH Li et al., 2021) and therefore audit fees (Judd et al., 2017). Are there other CEOs' personality traits, in addition to risk and personal preferences, that will have an impact on audit fees? This study focuses on the effect of name uniqueness on CEOs' personality traits-being different, and discusses the impact of CEOs' name uniqueness on audit fees.
Prior studies suggest that individuals with unique names are more vulnerable to the negative effects of their parents and others in their growth (Aura & Hess, 2010;Lieberson & Bell, 1992). They have more unique individualistic characteristics (Varnum & Kitayama, 2011), and need stronger psychological adjustment capabilities (Twenge & Manis, 1998). However, if individuals with unique names are highly satisfied with their names, they can break through the possible negative effects of the unique names, and have a stronger sense of self-identity and more obvious individualistic tendencies, and thus gaining greater achievements (Bao et al., 2020;Su & Ren, 2015). As the leader of a management uniqueness on corporate decision-making and financial reporting cannot be ignored, which is priced by auditors. Third, our study develops a measure of CEOs' uniqueness using name uniqueness developed by prior psychology studies, which may indicate interesting and fruitful avenues for future research on the implications of personal characteristics in various business settings.
The rest of this paper is organised as follows: section 2 discusses related research and formulates hypothesis, section 3 is the research design, section 4 is the analysis of the empirical results, section 5 is the robustness test, section 6 is the additional analyses, and the final section are conclusions and implications.

Literature review and hypotheses development
The influencing factors of audit fees have attracted extensive attention and discussion of scholars since Simunic (1980) put forward the classic model of audit fees. Extant literature has considered factors including firm size, business complexity, financial status, auditor tenure, industry expertise, audit firm reputation and non-assurance business, etc. Hambrick and Mason (1984) point out that differences in the demographic characteristics of managers affect their values and cognitive bases, resulting in different corporate strategies and management styles. Based on this theory, scholars have tried to find out the possible influence of managers' personality traits on audit pricing. For example, CEOs with narcissistic tendencies (Judd et al., 2017) and executives with auditing experience (C Cai et al., 2015) may threaten their companies' financial report quality and hence increase audit fees; while CEOs with academic background (Shen et al., 2018), or military experience (Quan et al., 2018) are more likely to lower corporate inherent risk, which reduces their firms' audit fees.
Studies on the name psychology have found that unique names often accompany individuals' special growth environment, affecting their self-cognition and forming unique personality traits (Snyder & Fromkin, 1980). 1 That means CEOs with unique names will also have distinctive personal characteristics. This distinctiveness, which is different from other personality traits and cannot be simply put as aggressiveness or conservatism, has an impact on audit fees. This is because of the following reasons.
1. The impact of name uniqueness on CEO behaviours may increase audit complexity or audit risk. Previous literature finds that people with unique names often have unique personality traits due to parental influence or self-cognition in their growth. These unique personality traits can make individuals with unique names have different psychological characteristics and behaviours from ordinary people (Bell, 1984;Kalist & Lee, 2009;Sadowski et al., 1983). For example, the owner of a unique name is more likely to choose a unique occupation, and after engaging in a unique career, the positive correlation between name uniqueness and occupational achievement is more significant (Bao et al., 2020).
Specific to the impact on personal behaviours, name uniqueness shows two sides. On the one hand, people with unique names are vulnerable to the negative influences of the external environment. For example, Ellis and Beechley (1954) find that boys with unique names are more likely to suffer from emotional distress than boys with popular names.
1 The relevant literature review and analysis are detailed in Appendix A. Bell (1984) studies the college students and finds that the more unique their names are, the stronger their loneliness is. Because unique names are unfamiliar, difficult to pronounce and spell, they often lead to negative views of others, which in turn lower the selfesteem of their owners (Gebauer et al., 2012;Kalist & Lee, 2009). On the other hand, some studies have also found that name uniqueness has a positive impact on individual psychological and behavioural decision-making. People with unique names are more creative (Sadowski et al., 1983), more popular (Zweigenhaft, 1981), and have higher career achievements in related fields (Bao et al., 2020;Sadowski et al., 1983). For example, surname uniqueness is significantly positively correlated with scholars' H-index (Bao et al., 2020); name uniqueness helps American male psychologists achieve higher career achievements, including more membership in APA chapters, being cited more in textbooks, and being invited more to review manuscripts, etc. (Sadowski et al., 1983).
One possible reason for this phenomenon is that the owner of a unique name takes his/her name as one of his/her self-symbol (Twenge & Manis, 1998). If he/she is satisfied with his/her name, his/her self-identity will be higher, and his/her academic performance and psychological adjustment ability will be better (Su & Ren, 2015). To put it another way, if an individual can break through the negative impact of name uniqueness, the personality uniqueness brought by name uniqueness will be more obvious (Bao et al., 2020).
CEOs are successful from professional perspective. If they can overcome the possible negative effects of their unique names and achieve great professional success, it means that they are highly satisfied with their names, and have strong self-identity and psychological adjustment ability. Therefore, CEOs with unique personalities may have different leadership styles and shape different corporate cultures. This different corporate culture and leadership style may increase audit complexity and audit risk.
2. CEOs with unique personalities are more likely to make distinctive strategies that may increase audit workload or risk. The CEO is the core figure of the enterprise management team and is directly responsible for the formulation and implementation of major business activities and strategic policies (Cohen et al., 2002;Hambrick & Mason, 1984;Jiang et al., 2009). Kang et al. (2021) find that CEOs with unique names are more likely to be unique in making decisions that are radically different from their industry peers. These differences will also increase the complexity or risk of an audit, and thereby affecting audit fees.
To sum up, if the CEO's unique personality makes the company different from its peers, it is easy to encounter some problems that cannot be foreseen or solved by relying on industry practices or knowledge (Ye et al., 2015). These new problems may make it difficult for the routine business decision-making, and the rationality, credibility and legitimacy of their strategic models, or management patterns are more likely to be doubted (Pfeffer & Salancik, 2003;Wood, 1991), or more evidence is needed to support it. All of these will increase audit risk or audit workload, which in turn affects audit fees.
Based on the above analysis, we put up the following research hypothesis: H1: Ceteris paribus, auditors charge a higher audit fee to clients with CEOs holding unique names.

Data and sample
Name uniqueness data comes from 'Chinese Name Database' 2 supported by National Citizenship Identity Information Center (NCIIC). CEO's surname/name uniqueness is developed by importing CEO's name and date of birth into a R package. Since Chinese surnames are relatively fixed and do not change with birth cohort, the birth cohort is not considered in this paper when calculating surname uniqueness. However, Chinese names are likely to have period characteristics, 3 so birth cohort is taken into account in the calculation of name uniqueness. The sampling procedure is as follows: First, we exclude non-Chinese names 4 or names with strong minority colours. 5 These names may be special compared with ordinary Chinese people, but may be very common in the group they belong to. Since we focus on the influence of name uniqueness on individual personality traits, the name is meaningful only when it is special in the holders' growing environment. Second, we exclude samples with a change in CEO in the current year. 6 This paper focuses on the impact of CEOs' personality traits on corporate decision-making and audit fees. If the CEO changes in the current year, it is questionable whether his or her personality traits have a concurrent impact on corporate decisions or auditor decisions. Third, we exclude firms pertaining to the financial industry, ST and PT companies, and those with missing variables following the existing literature and considering the differences in financial statement characteristics.
All financial and non-financial data in this paper, except for name uniqueness, are obtained from the China Stock Market and Accounting Research (CSMAR). The sample interval is from 2009 to 2019 since the disclosure of the personal information of the management started in 2008 in CSMAR. The final sample of this paper is 18,252 firm-year observations. All continuous variables are winsorised at the 1 th and 99 th percentiles in order to alleviate the possible effects of extreme observations. The statistical processing software is Stata 15.0, except for the name uniqueness indicator, which is obtained using R language.

Empirical model
We estimate model (1) to test the main hypothesis.  (Bao et al., 2020), retrieved September 1 st , 2020. 3 For example, names such as 'Jianguo' and 'Jianjun' are very common around the founding of New China. With the development of the times, the number of names with individual characteristics gradually increased. Therefore, name uniqueness may vary with the birth cohort. 4 The CEO is identified as a non-Chinese nationality if his/her name is in English. A total of 727 non-Chinese names were screened, accounting for 2.1% of the original sample according to this judgment method. 5 The screening method for minority names is as follows: first, all samples with names with more than 3 characters are screened; second, these names are manually judged whether they belong to ethnic minority: (1) the method of judging Uyghur names is whether they are in the form of 'first name.surname', such as: Akbar.Maimat, A.Kurban, etc.; (2) the method to judge the Mongolian name is whether they contain words like Tana, Gele, Ulin, etc. According to this criterion, 5 minority names are excluded from our initial sample. 6 Two or more CEOs work for a company in the same calendar year.
In model (1), the dependent variable Audit_Fee is the natural logarithm of audit fees.
The key variable of interest is the name uniqueness. Full_Name_Uniqueness is the average of surname uniqueness and given-name uniqueness as developed by Bao et al. (2020). Full_Name_Uniqueness_Dummy is a dummy variable that equals 1 for CEOs with Full_Name_Uniqueness above 75 th percentile, and 0 otherwise. Du (2019) suggests that the distribution function of name uniqueness is positively skewed, and 75 th percentile is an appropriate threshold of name uniqueness.

Variables
Definition Audit_Fee Natural logarithm of audit fees Full_Name_Uniqueness The degree of the CEO's full name uniqueness, equals to the mean value of CEO's surname uniqueness and name uniqueness (Bao et al., 2020) Full_Name_Uniqueness_Dummy Dummy variable, equals to 1 if CEO's full name uniqueness is no less than the 75 th percentile of it, and 0 otherwise Independent_Ratio The number of independent directors over the number of total directors. Top1 The proportion of the largest shareholder' shareholding.

Duality
Dummy variable, equals to 1 if the CEO is also the chairman, and 0 otherwise Size Natural logarithm of the total assets of the company.

Leverage
The debt-to-assets ratio, equal to the total liability divided by total assets Sales_Growth The growth rate of operating sales ROA Return on assets AR_Ratio Total accounts receivable scaled by total assets Inventory_Ratio Total inventory scaled by total assets Current_Ratio Current assets over current liabilities IPO_age Natural logarithm of the company's year of listing State Dummy variable, equal to 1 if a firm is ultimately controlled by the government or a state-owned enterprise, and 0 otherwise Loss Dummy variable, equal to 1 if a firm's net profit is less than 0 last year, and 0 otherwise Segment Natural logarithm of one plus the number of subsidiaries Return The yearly stock return Industry_HHI The degree of market competition in the industry, calculated by the Herfindahl index of industrial operating income In addition to the cross-sectional level regression, we also conduct the following change regression analysis to alleviate concerns about omitted variables. In Table 2, Panel B, we compare the audit fees between the two groups with different full name uniqueness of CEOs. The mean (median) value of audit fees for the group with unique names is 1.35 (0.83) million yuan, and the mean (median) value of audit fees for the group with common names is 1.28 (0.80) million yuan, indicating a statistically significant 5.30% (3.58%) higher audit fee for the unique group.

Descriptive statistics
Considering that the audit fee is closely related to firm size, we also compare the unit audit fee difference between the two groups. Our results show that, in the unique full name group, the mean (median) value of audit fees per ¥10,000 of assets is 3.28 (2.60), and in the common full name group, the mean (median) value of audit fees per ¥10,000 of assets is 3.02 (2.40). The difference between the two groups is 8.51% (8.38%), and it is significant at the level of 1%; Also, the mean (median) value of audit fees per ¥10,000 of operating sales is 8.10 (5.11) in the unique full name group, while the mean (median) value of audit fees per ¥10,000 of operating sales is 7.29 (4.59) in the common full name group. The difference between the two groups is 11.09% (11.34%), which is significant at the level of 1%.
We divide the sample into ten groups according to the uniqueness of CEO's full name in Panel C. Companies whose CEO's full name uniqueness is above the ninth decile are defined as very unique, and companies whose CEO's full name uniqueness is below the first decile are defined as very common. It can be seen that the mean (median) values of total audit fees, audit fees per ¥10,000 of assets and audit fees per ¥10,000 of operating sales are 11.32% (6.25%), 19.13% (24.45%), and 26.94% (22.13%) higher for companies with very unique names than for companies with very common names, respectively, and the differences between the two groups are all significant at the 1% level.

Regression analysis
Columns (1) to (3) of Table 3 show the multiple regression results of how CEOs' full name uniqueness affects audit fees. In column (1), Full_Name_Uniqueness and Audit_Fee are significantly and positively correlated at the 5% level when only industry and year fixed effects are controlled. In column (2), Full_Name_Uniqueness and Audit_Fee are significantly and positively correlated at the 1% level after controlling for all relevant variables. In 13%*** a *** and ** denote two-tailed significance at the 1%, and 5% levels, respectively. column (3), the coefficient on Full_Name_Uniqueness_Dummy is 0.029, which is significant and positive at the 1% level. All these results support H1, suggesting that CEO's full name uniqueness plays an important role in the pricing of audit services.
Columns (4) to (5) of Table 3 present the multiple regression results of how the change in CEOs' full name uniqueness affects audit fees. In column (4), ΔFull_Name_Uniqueness and ΔAudit_Fee are significantly and positively correlated at the 1% level when only industry and year fixed effects are controlled. In column (4), ΔFull_Name_Uniqueness and ΔAudit_Fee are also significantly and positively correlated at the 1% level after controlling for all relevant variables. Therefore, the change in name uniqueness has a significant positive impact on the change of audit fees, which further verifies our main hypothesis.

Robustness tests
We perform a series of sensitivity tests to check the robustness of our findings. First, as we measure CEO's full name uniqueness by taking an average of his/her last name uniqueness and given name uniqueness, this measure may not be convincing. This is because the last name represents social relationship, while the given name is the personal code, and the two may not have exactly the same impact on individual personality traits. Referring to Bao et al. (2020), we divide CEO's name uniqueness into surname uniqueness and given name uniqueness, respectively, and retest our hypothesis. Second, our final sample size is reduced by restricting one CEO in the report period. We enlarge the sample by taking the mean value of name uniqueness with more than one CEOs in the same year, and retest the main hypothesis. Third, we conduct a modified fixed effects model to alleviate concerns about omitted variables by controlling the mean value of Audit_Fee over the five-years before the sample period (Aghion et al., 2013;C Kim & Zhang, 2016). Fourth, we conduct a propensity score matching (PSM) method to mitigate the possible selection bias problem. Fifth, we use instrumental variable method with the mean value of name uniqueness in a five-year birth cohort as an instrument to address the possible reverse causality problems. Table 4 reports the results of these robustness tests. As shown in Table 4, our main inferences unaltered in all these sensitivity checks. Specifically, our results are robust after taking a different measurement of name uniqueness, using an enlarged sample and PSM sample, and using the instrumental variable method.
In addition, we replace CEO's full name uniqueness with that of the Chairman, CFO, and other management team members to test whether this relationship is specific to CEOs. At last, we perform a placebo test following Wu and Du (2021), substituting the name uniqueness of the CEOs in the sample randomly, and retest the name uniqueness effect to further mitigate the possible endogeneity issue. Unlisted results show that name uniqueness is no longer significant when using a randomly distributed uniqueness data, and when it is replaced by the name uniqueness of Chairman, 7 CFO or other management team members. All these tables are available upon request.

Name uniqueness VS Name meaning
Our main regression results suggest that auditors tend to factor CEO's full name uniqueness into their audit pricing decisions. A natural question arises of whether these unique names have a specific meaning that affect auditors' decisions. Following existing literature, we measure the cultural colour of CEOs' names in terms of three dimensions: name valence (Gebauer et al., 2012), name warmth, and name competence (Newman et al., 2018), 8 and test whether the cultural colour of CEOs' names has an impact on audit fees. Unlisted results suggest that none of these meanings influences audit fees significantly, and it is the uniqueness of CEO's full name that really matters.

What drives the effect of name uniqueness on audit fees
Our main results suggest that audit pricing is affected by CEOs' full name uniqueness. Then, is it rational for auditors to make such a decision? The positive association between CEOs' full name uniqueness and audit fees may be explained by two related but not identical interpretations. First, CEOs with unique names tend to make strategies deviant from the industry central tendency, which may lead to extreme performance -either big win or big loss (Tang et al., 2011), and increase audit risk or workload. Second, CEOs with unique full names tend to have unique management styles, which may make it difficult to audit, and increase audit risk or workload. We conduct a three-step mechanism analysis suggested by Wen et al. (2004) to test the two possibilities.
where Mediator is the mechanism to be tested, and the controls are the same as model (1).  (4)

and column (5) when the dependent variable is
ΔAudit_Fee. b T-statistics are reported in parentheses and ***, **, and * denote two-tailed significance at the 1%, 5%, and 10% levels, respectively. The following tables are the same. 8 The name valence dimension measures the degree of positivity of an individual's name through the degree of positivity of the meaning of each character, and the warmth dimension measures the warmth of an individual's name by whether the character has warm characteristics such as 'warm and friendly', while the competence dimension measures the ability of an individual's name by whether the character has the characteristics of 'capable and smart'. All relevant data is available on request.
We use strategic deviance as a mediator to test the first possibility, and audit effort as a mediator to test the second possibility. We control strategic deviance when testing audit effort to examine whether there are other factors, in addition to strategic deviance, that drive more audit workload by CEO's full name uniqueness. Referring to Tang et al. (2011) and Ye et al. (2015), we measure the strategic deviance from six dimensions: advertising intensity, capital intensity, fixed asset newness rate, R&D intensity, management overhead efficiency, and financial leverage. Strategic deviance emphasises the deviation, anomaly and uniqueness of corporate strategies, compared with the industry as a whole. The larger the indicator, the more unique the firm's strategic decisions. We use audit report lag -the natural logarithm of the time period between a company's fiscal year end and the date of the audit report -to measure the extra effort paid by auditors. Lobo and Zhao (2013) point out that audit report lag is closely related to auditors' effort, and is a reasonable proxy for auditors' input and workload.
Columns (1) to (3) of Table 5 report the results of the mechanism analysis of Strategic_Deviance. Column (1) is the same as our main hypothesis. Column (2) shows that Full_Name_Uniqueness has a significant positive effect on Strategic_Deviance at the 1% level. Column (3) suggests that both Full_Name_Uniqueness and Strategic_Deviance have a significant positive effect on Audit_Fee and the coefficient of Full_Name_Uniqueness is slightly smaller in magnitude after controlling for Strategic_Deviance. This result reveals that Strategic_Deviance is a partial mediator between Full_Name_Uniqueness and Audit_Fee. 9 IV is the instrumental variable, which equals the average CEOs' name uniqueness in a 5-year birth cohort. 9 Existing literature shows that when CEOs are more aggressive, audit fees will be higher. So are CEOs with unique names more aggressive? And is this an alternative explanation of the higher audit fee? Referring to Liu (2016) etc., this paper constructs an indicator called strategic aggressiveness and examines the relationship between CEOs' full name uniqueness and strategic aggressiveness. Unlisted findings reject the above possibility. The results show that the CEO's name uniqueness is not significantly correlated with the strategic aggressiveness. Relevant results are available on request.
Columns (4) to (6) of Table 5 are the results of the mechanism test of Audit_Effort. Column (4) is the main regression result after controlling Strategic_Deviance. Column (5) suggests that Full_Name_Uniqueness has a significant positive effect on Audit_Effort at the 5% level after controlling Strategic_Deviance. All three indicators are significant positive in column (6), and the coefficient of Full_Name_Uniqueness is reduced slightly, indicating that audit effort associated with CEO's full name uniqueness is driven by factors apart from strategic deviance. In conclusion, both strategic deviance and other effects of CEO's full name uniqueness play an important role in promoting audit fees.

An alternative explanation -first impression effect
Starting from the psychological theory of others' perceptions of name uniqueness, Mehrabian (2001) finds that people tend to associate one's name characteristics with that person. A person with a unique name is usually considered to be unusual, which forms the first impression others have of the individual. Therefore, our main findings on the role of CEOs' full name uniqueness in audit pricing could be open to the alternative explanation of cognitive bias, i.e. it is the first impression rather than personality traits brought by name uniqueness that are considered by auditors when making audit fee decisions. Zweigenhaft (1981) suggests that the first impression of being considered as 'unique' due to his/her name uniqueness will diminish over time. In this case, we expect the impact of full name uniqueness on audit fees to be greater for the first-year audit engagements, if the first impression effect holds. Otherwise, we expect no significant relationship between the effect of full name uniqueness on audit fees and whether it is a first-year engagement.
We explore the first impression effect on the relationship between CEOs' full name uniqueness and audit fees by dividing the sample into initial-year audit engagement and non-initial-year audit engagement subsamples. Following Han and Chen (2007), Zhang et al. (2018), we consider whether this is a first-time audit engagement from both audit firm (columns 1-2 of Table 6) and auditor level (columns 3-4 of Table 6). The results suggest that the coefficients of Full_Name_Uniqueness in both of the two subsamples are statistically significant at both audit firm level and auditor level, and the differences between the two subsamples are not significant. This finding helps to rule out the above mentioned alternative explanation, suggesting that the impact of name uniqueness on audit fees cannot be explained by the first impression effect.

The impact of CEOs' characteristics
The upper echelon theory states that executives' upbringing and personal traits are key factors affecting the formation of their major decisions (Hambrick & Mason, 1984). We expect the impact of name uniqueness on audit fees to be more pronounced for firms whose CEOs' personal traits and upbringing make them more likely to be influenced by name uniqueness.
Extant literature finds that the impact of name uniqueness on CEO's personality traits varies with gender. Peng and Wei (2006) suggest that male executives are more confident, and Kang et al. (2021) suggest that CEOs' confidence enlarges the impact of their name uniqueness on corporate strategic distinctiveness. Therefore, we expect that male CEOs' name uniqueness has a greater impact on audit fee. Deng and Zeng (2011) point out that work experience in financial institutions will endow executives with professional financial knowledge and skills to make more rational professional judgements in business operations and investment and financing decisions. Following this logic, we expect that financial work experience will allow CEOs to make more professional and stable corporate decisions, reducing the impact of CEOs' personality traits on corporate decisions, and thus reducing its impact on audit fees.
The overseas study experience of executives will develop their international perspective and multicultural perceptions (Zhou et al., 2017). In a diverse overseas cultural environment, name uniqueness in the Chinese cultural context is weakened, thereby weakening the effect of name uniqueness on their personality traits and reducing its impact on audit fees.
We retest our main hypothesis using subsamples of firms with male and female CEOs, CEOs with and without financial background, and CEOs with and without overseas study experience. Table 7 reports the empirical results that are consistent with the above expectations. Specifically, the effect of CEOs' full name uniqueness on audit fees is only robust in male CEOs subsample, CEOs without financial background subsample, and CEOs without overseas study experience subsample. All these results suggest that CEOs' full name uniqueness works on audit fees through its effect on personality traits.

The impact of analysts' attention
The impact of analysts' attention on capital market participants is always a hot issue of interest for scholars. Existing literature suggests that given analysts' professional analytical capabilities and unique information dissemination channels, a more comprehensive and multi-faceted picture of management will be revealed and amplified by increased analysts' attention (Pan et al., 2011). With this logic, the impact of CEO's personality traits will be amplified if it is followed by more analysts, thus increasing its impact on auditors' risk perceptions, and thus increasing audit fees. Referring to Xie and Ai (2014), we use the number of analysts (No_of_Analysts) and the number of research reports (No_of_Research_Reports) following a company in one year as measures of analysts' attention, with higher No_of_Analysts and No_of_Research_Reports indicating higher analysts' attention. Our sample is divided into high analysts' attention group and low analysts' attention group according to the year-industry median of analysts' attention, and the grouping regression results are shown in Table 8. The results are robust only in higher No_of_Analysts and higher No_of_Research_Reports subsamples, suggesting that auditors' perception of name uniqueness is important.

The impact of auditors
Extant literature shows that occupational gender discrimination is common in China. Female auditors face greater professional risks, and are reluctant to disagree with the auditee (Wang et al., 2014), resulting in a weaker inhibitory effect on accrual management and lower audit quality (Ye & Yu, 2011). On this basis, we expect that female auditors are less likely to increase audit fees due to CEOs' name and behaviour uniqueness. The results in columns (1) and (2) of Table 9 are in line with this expectation -the coefficient of Full_Name_Uniqueness is not significant when the auditor 10 is female, and this coefficient is significantly positive at the 1% level when the auditor is male. Du (2019) suggests that firm income statements are more likely to be restated when the CEO has the same surname as the auditor. Based on this, we expect that the effect of CEO's full name uniqueness on audit fees is not significant when the CEO and the auditor share the same last name. The results in columns (3) and (4) of Table 9 support this expectation. Jensen (2019) proposes that the financial distress of a company forces management to take positive actions to improve operational and managerial efficiency. Oliver (1992) finds that when a company's performance is in trouble, recombining resources, relearning and transforming are the main strategies to settle this problem. XG He et al. (2017) point out that when a company is in a state of suboptimal health, it tends to 'think about change' to improve this situation by means of strategic adjustment. In other words, companies in operational or financial distress will take strategies that are different from those of normal companies. In this case, the distinct strategies brought about by CEOs' unique personality will become less unique in this sample. Therefore, we expect the impact of CEOs' full name uniqueness on audit fees to be smaller when the company faces greater operational or financial risk. With reference to the existing literature, we explore the impact of operational risk and financial risk 11 on the relationship between full name uniqueness and audit fees, using financial leverage 12 and financial constraints 13 to measure financial risk, and loss in the previous year 14 and operating performance 15 to measure operational risk, respectively.   11 In addition, we test the impact of corporate governance on the relationship between full name uniqueness and audit fees. Similar to the results above, the impact of CEO's name uniqueness on audit fees is not significant when the corporate governance is relatively low (high separation of ownership and control, invalid internal control); and this name uniqueness effect is significant otherwise. Due to space limitations, the result is not reported, but it is available upon request. 12 We divide our sample into high financial risk group and low financial risk group according to the year-industry median of financial leverage. 13 Financing constraints is measured by the SA index (Hadlock & Pierce, 2010). We divide our sample into high financial risk group and low financial risk group according to the year-industry median of financing constraints. 14 If the company suffers a loss in the previous year, it is regarded as high operational risk group, otherwise, it is regarded as low operational risk group. 15 If the company's performance is worse than the year-industry median, it is regarded as high operational risk group, otherwise, it is regarded as low operational risk group.

The impact of corporate characteristics
The results in Table 10 indicate that the impact of CEOs' full name uniqueness on audit fees holds only in subsamples with less operational and financial risks.

Conclusion
Using Chinese name uniqueness data developed in Bao et al. (2020), this paper explores the impact of CEOs' name uniqueness on audit fees, and finds that: (1) name uniqueness has a significant positive correlation with audit fees.
(2) the main reason why name uniqueness affects audit fees is its impact on corporate strategic deviance, rather than the first impression brought by name uniqueness to auditors.
(3) male CEOs, CEOs without financial backgrounds, and CEOs without overseas study experience are influenced more by name uniqueness, and thus the impact of name uniqueness on audit fees. (4) analysts' attention amplifies the impact of name uniqueness on audit fees. (5) male auditors and auditors with different surnames from the CEOs increase audit fees due to executive name uniqueness and behavioural uniqueness. (6) firms with lower financial risk or lower operational risk are significantly influenced by CEO's name uniqueness. All these findings suggest that auditors price CEO's name uniqueness through its influence on CEOs' personality traits and thus corporate decisions. This paper is the first to discuss the influence of CEOs' personality traits on audit fees from the perspective of name uniqueness. The main implications of this paper are as follows: First, the results suggest that the subtle influence of names on personal growth is very important and can even affect the formation of their personality traits and thus their career decisions. This means that future research on executive decision-making styles can refer to their name uniqueness and growth experience. Second, from the perspective of professional information authenticators, the corporate cultural atmosphere or decisionmaking styles influenced by CEOs' personality traits will significantly affect their audit risk or workload, which deserves the attention and consideration of capital market participants. Third, CEOs' unique personality-pursuing to be unusual, which is different from aggressiveness or conservatism studied before, may also affect audit fees.
Although this paper examines how name uniqueness affects audit fees through strategic deviance and audit effort, both of them are only partial mediators, and their proportion to the total effect is limited. We do not find out other mediators that name uniqueness affects corporate decision-making. Name uniqueness can affect a company's cultural atmosphere and thus its business risk. In view of the availability of research data, this paper has not obtained relevant evidence, which is a limitation of this research and deserves further exploration in future studies.