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Optimal contracting with asymmetric risk aversion information and fairness concerns

Jiajia Chang (College of Mathematics and Statistics, Guizhou University, Guiyang, China) (College of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, China)
Zhi Jun Hu (College of Mathematics and Statistics, Guizhou University, Guiyang, China)
Hui Zhao (College of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, China)

Kybernetes

ISSN: 0368-492X

Article publication date: 7 September 2023

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Abstract

Purpose

This study considers a contracting problem between a fairness concerned entrepreneur (EN) and a fair-neutral venture capitalist (VC) to explore the effects of asymmetry, agency conflicts and fairness concerns.

Design/methodology/approach

The authors construct the model by assuming the EN's risk aversion degree is private information, which is more realistic but ignored in most studies. Under the principal–agent framework, the authors solve the VC's optimal contracting models by identifying the ranges of feasible solution, where the optimal solutions of these models are explicit and nicely reconcile the “private equity” puzzle. Moreover, validity of the optimal solutions is verified by numerical simulations.

Findings

In accordance with empirical evidence, information asymmetry lowers the optimal equity share that the VC provides to EN but raises EN's profit due to lower effort disutility and information rent. Moreover, the authors find that the fairness concerns is beneficial for the EN, where it not only increases the EN's optimal equity share, but also enhances the certainty equivalence of the EN's utility regarding its profit. Relative to the benchmark model where the EN's risk aversion degree is common knowledge, the EN's efforts recommended by the optimal contract is less sensitive to the EN's fairness concerns degree when the EN does not actually announce its risk aversion degree.

Originality/value

First, the authors incorporate asymmetry to study a two-period contracting problem and explore how it affects the equity shares allocated to the contractual parties. Second, the authors incorporate fairness concerns and analyze its effect regarding the decision-makings and profits.

Keywords

Acknowledgements

The authors gratefully acknowledge the support of the National Natural Science Foundation of China (Nos. 71761005 and 71361003) and the Guizhou Key Laboratory of Big Data Statistical Analysis (No.[2019]5103).

Citation

Chang, J., Hu, Z.J. and Zhao, H. (2023), "Optimal contracting with asymmetric risk aversion information and fairness concerns", Kybernetes, Vol. ahead-of-print No. ahead-of-print. https://doi.org/10.1108/K-03-2023-0410

Publisher

:

Emerald Publishing Limited

Copyright © 2023, Emerald Publishing Limited

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