IDEAS home Printed from https://ideas.repec.org/a/spr/dyngam/v11y2021i3d10.1007_s13235-020-00372-x.html
   My bibliography  Save this article

Stochastic Evolutionary Game Analysis Between Special Committees and CEO: Incentive and Supervision

Author

Listed:
  • Xinmin Liu

    (Shandong University of Science and Technology
    Qingdao Agricultural University)

  • Kangkang Lin

    (Shandong University of Science and Technology)

  • Lei Wang

    (Ocean University of China)

  • Hongkun Zhang

    (Shandong University of Science and Technology)

Abstract

Focusing on the problem of CEO incentive and supervision, this paper constructs a three-party stochastic evolutionary game model of the CEO, compensation committee and audit committee, and analyzes the boundary conditions of the stability based on stochastic replicator dynamics equations. In addition, it carries out the numerical approximations with Taylor expansion and $$It{\hat{o}}$$ I t o ^ -type stochastic differential equation, and further analyzes the influence of key variables on the direction and convergence rate of game players' strategy choice. The results show that: (1) The probability that the CEO takes self-interested behavior falls faster and the probability that audit committee adopts supervisory strategy rises faster when the self-interested behavior of the CEO gets larger. (2) The audit committee has a fast convergence rate, and arrives earlier in the neighborhood of the stochastically stable state where the incentive coefficient adopted by the compensation committee is larger. (3) The increase in supervision intensity increases the convergence rate of the CEO, but decreases the convergence rate of the compensation committee. (4) According to a comparative analysis of noise intensity, the influence of random interference on the decision-making of the audit committee is more volatile.

Suggested Citation

  • Xinmin Liu & Kangkang Lin & Lei Wang & Hongkun Zhang, 2021. "Stochastic Evolutionary Game Analysis Between Special Committees and CEO: Incentive and Supervision," Dynamic Games and Applications, Springer, vol. 11(3), pages 538-555, September.
  • Handle: RePEc:spr:dyngam:v:11:y:2021:i:3:d:10.1007_s13235-020-00372-x
    DOI: 10.1007/s13235-020-00372-x
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s13235-020-00372-x
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s13235-020-00372-x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Bebchuk, Lucian Arye & Fried, Jesse & Walker, David I, 2002. "Managerial Power and Rent Extraction in the Design of Executive Compensation," CEPR Discussion Papers 3558, C.E.P.R. Discussion Papers.
    2. Nigar Sultana & J-L. W. Mitchell Van der Zahn & Steven Cahan, 2015. "Earnings conservatism and audit committee financial expertise," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 55(1), pages 279-310, March.
    3. Jensen, Michael C. & Meckling, William H., 1976. "Theory of the firm: Managerial behavior, agency costs and ownership structure," Journal of Financial Economics, Elsevier, vol. 3(4), pages 305-360, October.
    4. Andrew R. Tilman & Joshua B. Plotkin & Erol Akçay, 2020. "Evolutionary games with environmental feedbacks," Nature Communications, Nature, vol. 11(1), pages 1-11, December.
    5. Paul Collier & Alan Gregory, 1996. "Audit committee effectiveness and the audit fee," European Accounting Review, Taylor & Francis Journals, vol. 5(2), pages 177-198.
    6. Martin Bugeja & Zoltan Matolcsy & Helen Spiropoulos, 2016. "The Association Between Gender-Diverse Compensation Committees and CEO Compensation," Journal of Business Ethics, Springer, vol. 139(2), pages 375-390, December.
    7. Focke, Florens & Maug, Ernst & Niessen-Ruenzi, Alexandra, 2017. "The impact of firm prestige on executive compensation," Journal of Financial Economics, Elsevier, vol. 123(2), pages 313-336.
    8. Bajra, Ujkan & Čadež, Simon, 2018. "Audit committees and financial reporting quality: The 8th EU Company Law Directive perspective," Economic Systems, Elsevier, vol. 42(1), pages 151-163.
    9. Mustafa Tevfik Kartal & Cemal Ýbis & Ozgür Çatikkas, 2018. "Adequacy of audit committees: A study of deposit banks in Turkey," Borsa Istanbul Review, Research and Business Development Department, Borsa Istanbul, vol. 18(2), pages 150-165, June.
    10. Udi Hoitash & Rani Hoitash, 2009. "Conflicting Objectives within the Board: Evidence from Overlapping Audit and Compensation Committee Members," Group Decision and Negotiation, Springer, vol. 18(1), pages 57-73, January.
    11. Ghafran, Chaudhry & O'Sullivan, Noel, 2017. "The impact of audit committee expertise on audit quality: Evidence from UK audit fees," The British Accounting Review, Elsevier, vol. 49(6), pages 578-593.
    12. Lucian Bebchuk & Jesse Fried, 2002. "Power, rent extraction, and executive compensation," CESifo Forum, ifo Institute - Leibniz Institute for Economic Research at the University of Munich, vol. 3(03), pages 23-28, October.
    13. Xing Gao & Weijun Zhong & Shue Mei, 2013. "Stochastic Evolutionary Game Dynamics and Their Selection Mechanisms," Computational Economics, Springer;Society for Computational Economics, vol. 41(2), pages 233-247, February.
    14. Junqiang Li & Hao Ren & Changcheng Zhang & Qingxia Li & Kaifeng Duan, 2020. "Substantive Innovation or Strategic Innovation? Research on Multiplayer Stochastic Evolutionary Game Model and Simulation," Complexity, Hindawi, vol. 2020, pages 1-15, April.
    15. Rachana Kalelkar, 2017. "Effect of audit and compensation committee membership overlap on audit fees," Asian Review of Accounting, Emerald Group Publishing Limited, vol. 25(1), pages 34-57, February.
    16. Cooper, David J. & Ioannou, Christos A. & Qi, Shi, 2018. "Endogenous incentive contracts and efficient coordination," Games and Economic Behavior, Elsevier, vol. 112(C), pages 78-97.
    17. Konstantin Avrachenkov & Vivek S. Borkar, 2019. "Metastability in Stochastic Replicator Dynamics," Dynamic Games and Applications, Springer, vol. 9(2), pages 366-390, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ying Sun & Zhaolin Gu, 2022. "Implementation of Construction Waste Recycling under Construction Sustainability Incentives: A Multi-Agent Stochastic Evolutionary Game Approach," Sustainability, MDPI, vol. 14(6), pages 1-21, March.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chen, Jie & Song, Wei & Goergen, Marc, 2019. "Passing the dividend baton: The impact of dividend policy on new CEOs' initial compensation," Journal of Corporate Finance, Elsevier, vol. 56(C), pages 458-481.
    2. Shahab, Yasir & Ntim, Collins G. & Ullah, Farid & Yugang, Chen & Ye, Zhiwei, 2020. "CEO power and stock price crash risk in China: Do female directors' critical mass and ownership structure matter?," International Review of Financial Analysis, Elsevier, vol. 68(C).
    3. Ann-Christine Schulz & Miriam Flickinger, 2020. "Does CEO (over)compensation influence corporate reputation?," Review of Managerial Science, Springer, vol. 14(4), pages 903-927, August.
    4. Calcagno, R. & Renneboog, L.D.R., 2004. "Capital Structure and Managerial Compensation : The Effects of Renumeration Seniority," Discussion Paper 2004-120, Tilburg University, Center for Economic Research.
    5. Henrik Cronqvist & Fredrik Heyman & Mattias Nilsson & Helena Svaleryd & Jonas Vlachos, 2009. "Do Entrenched Managers Pay Their Workers More?," Journal of Finance, American Finance Association, vol. 64(1), pages 309-339, February.
    6. Lucian Arye Bebchuk & Jesse M. Fried, 2003. "Executive Compensation as an Agency Problem," Journal of Economic Perspectives, American Economic Association, vol. 17(3), pages 71-92, Summer.
    7. Paul André & Samer Khalil & Michel Magnan, 2012. "The adoption of deferred share unit plans for outside directors: economic and social determinants," Journal of Management & Governance, Springer;Accademia Italiana di Economia Aziendale (AIDEA), vol. 16(1), pages 81-105, February.
    8. repec:mth:ijafr8:v:8:y:2018:i:2:p:1-25 is not listed on IDEAS
    9. Agarwal, Vikas & Daniel, Naveen D. & Naik, Narayan Y., 2009. "Role of managerial incentives and discretion in hedge fund performance," CFR Working Papers 04-04, University of Cologne, Centre for Financial Research (CFR).
    10. Sheng‐Fu Wu & Chung‐Yi Fang & Wei Chen, 2020. "Corporate governance and stock price crash risk: Evidence from Taiwan," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 41(7), pages 1312-1326, October.
    11. Peter Jaskiewicz & Joern H. Block & James G. Combs & Danny Miller, 2017. "The Effects of Founder and Family Ownership on Hired CEOs’ Incentives and Firm Performance," Entrepreneurship Theory and Practice, , vol. 41(1), pages 73-103, January.
    12. Atif Ikram & Zhichuan (Frank) Li & Travis MacDonald, 2020. "CEO Pay Sensitivity (Delta and Vega) and Corporate Social Responsibility," Sustainability, MDPI, vol. 12(19), pages 1-20, September.
    13. Merz, Alexander, 2017. "What have we learned from SFAS 123r and IFRS 2? A review of existing evidence and future research suggestions," Journal of Accounting Literature, Elsevier, vol. 38(C), pages 14-33.
    14. Lionel Almeida, 2015. "Who are the controlling shareholders? Degree and seniority of control, and CEO pay monitoring," Working Papers hal-04141391, HAL.
    15. Palmberg, Johanna, 2012. "Family Control and Executive Compensation," Ratio Working Papers 186, The Ratio Institute.
    16. Otten, J.A. & Heugens, P.P.M.A.R., 2007. "Extending the Managerial Power Theory of Executive Pay: A Cross National Test," ERIM Report Series Research in Management ERS-2007-090-ORG, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    17. Pepper, Alexander, 2017. "Applying economic psychology to the problem of executive compensation," LSE Research Online Documents on Economics 79675, London School of Economics and Political Science, LSE Library.
    18. Hilmer, Michael, 2013. "Fiscal treatment of managerial compensation - a welfare analysis," VfS Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79703, Verein für Socialpolitik / German Economic Association.
    19. Chongwoo Choe & Gloria Tian & Xiangkang Yin, 2008. "Managerial Power, Stock-Based Compensation, And Firm Performance: Theory And Evidence," Monash Economics Working Papers 21/08, Monash University, Department of Economics.
    20. Akram, Farheen & Abrar ul haq, Muhammad, 2018. "Assessing the Effect of Managerial Power on Firm Performance through the Perceptual Lens of Executive Remuneration," MPRA Paper 100050, University Library of Munich, Germany, revised 2019.
    21. Hongfei Tang, 2014. "Are CEO stock option grants optimal? Evidence from family firms and non-family firms around the Sarbanes–Oxley Act," Review of Quantitative Finance and Accounting, Springer, vol. 42(2), pages 251-292, February.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:dyngam:v:11:y:2021:i:3:d:10.1007_s13235-020-00372-x. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.