IDEAS home Printed from https://ideas.repec.org/a/kap/compec/v63y2024i2d10.1007_s10614-022-10349-0.html
   My bibliography  Save this article

Risk Aversion, Reservation Utility and Bargaining Power: An Evolutionary Algorithm Approximation of Incentive Contracts

Author

Listed:
  • Itza Tlaloc Quetzalcoatl Curiel-Cabral

    (El Colegio de México A.C.
    CIDE)

  • Sonia Giannatale

    (Centro de Investigación y Docencia Económicas (CIDE), División de Economía)

  • Giselle Labrador-Badía

    (University of Wisconsin-Madison)

Abstract

In this paper we analyze the links between the agent’s reservation utility, bargaining power, and risk aversion in terms of their simultaneous effects on the structure of optimal static contracts. We compare the following principal-agent models in the symmetric and asymmetric information environments: the standard approach, which includes a participation constraint, and a multi-objective (MO) optimization approach in which the objective function is a convex combination of the expected utilities of the principal and the agent. The MO model does not include a participation constraint, but it includes a parameter for the agent’s bargaining power. We also study an Evolutionary Algorithm implementation of the static principal-agent model to support and extend our analytical results. We show that the numerical solution approximated by our implementation of an evolutionary algorithm is in line with the analytical solutions mentioned before. That is, for every admissible value of the agent’s reservation utility, there is a corresponding admissible value of the agent’s bargaining parameter, both in the MO approach and the EA implementation.

Suggested Citation

  • Itza Tlaloc Quetzalcoatl Curiel-Cabral & Sonia Giannatale & Giselle Labrador-Badía, 2024. "Risk Aversion, Reservation Utility and Bargaining Power: An Evolutionary Algorithm Approximation of Incentive Contracts," Computational Economics, Springer;Society for Computational Economics, vol. 63(2), pages 477-511, February.
  • Handle: RePEc:kap:compec:v:63:y:2024:i:2:d:10.1007_s10614-022-10349-0
    DOI: 10.1007/s10614-022-10349-0
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10614-022-10349-0
    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/s10614-022-10349-0?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. Rogerson, William P, 1985. "The First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 53(6), pages 1357-1367, November.
    2. Ohad Kadan, 2008. "Stocks or Options? Moral Hazard, Firm Viability, and the Design of Compensation Contracts," The Review of Financial Studies, Society for Financial Studies, vol. 21(1), pages 451-482, January.
    3. Canice Prendergast, 1999. "The Provision of Incentives in Firms," Journal of Economic Literature, American Economic Association, vol. 37(1), pages 7-63, March.
    4. Ingolf Dittmann & Ernst Maug, 2007. "Lower Salaries and No Options? On the Optimal Structure of Executive Pay," Journal of Finance, American Finance Association, vol. 62(1), pages 303-343, February.
    5. Demougin Dominique & Helm Carsten, 2006. "Moral Hazard and Bargaining Power," German Economic Review, De Gruyter, vol. 7(4), pages 463-470, December.
    6. Mathias Dewatripont & Patrick Legros & Steven A. Matthews, 2003. "Moral Hazard and Capital Structure Dynamics," Journal of the European Economic Association, MIT Press, vol. 1(4), pages 890-930, June.
    7. Alex Edmans & Xavier Gabaix, 2009. "Is CEO Pay Really Inefficient? A Survey of New Optimal Contracting Theories," European Financial Management, European Financial Management Association, vol. 15(3), pages 486-496, June.
    8. Matthews, Steven A., 2001. "Renegotiating Moral Hazard Contracts under Limited Liability and Monotonicity," Journal of Economic Theory, Elsevier, vol. 97(1), pages 1-29, March.
    9. Eun‐Soo Park, 1995. "Incentive Contracting Under Limited Liability," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 4(3), pages 477-490, September.
    10. Sappington, David, 1983. "Limited liability contracts between principal and agent," Journal of Economic Theory, Elsevier, vol. 29(1), pages 1-21, February.
    11. Pitchford, Rohan, 1998. "Moral hazard and limited liability: The real effects of contract bargaining," Economics Letters, Elsevier, vol. 61(2), pages 251-259, November.
    12. Jewitt, Ian & Kadan, Ohad & Swinkels, Jeroen M., 2008. "Moral hazard with bounded payments," Journal of Economic Theory, Elsevier, vol. 143(1), pages 59-82, November.
    13. Yao, Zhiyong, 2012. "Bargaining over incentive contracts," Journal of Mathematical Economics, Elsevier, vol. 48(2), pages 98-106.
    14. Park, Eun-Soo, 1995. "Incentive Contracting under Limited Liability," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 4(3), pages 477-490, Fall.
    Full references (including those not matched with items on IDEAS)

    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. Kadan, Ohad & Swinkels, Jeroen M., 2013. "Minimum payments and induced effort in moral hazard problems," Games and Economic Behavior, Elsevier, vol. 82(C), pages 468-489.
    2. Jewitt, Ian & Kadan, Ohad & Swinkels, Jeroen M., 2008. "Moral hazard with bounded payments," Journal of Economic Theory, Elsevier, vol. 143(1), pages 59-82, November.
    3. Inés Macho-Stadler & David Pérez-Castrillo, 2018. "Moral hazard: Base models and two extensions," Chapters, in: Luis C. Corchón & Marco A. Marini (ed.), Handbook of Game Theory and Industrial Organization, Volume I, chapter 16, pages 453-485, Edward Elgar Publishing.
    4. Jessica Martin, 2020. "The Risk-Sharing problem under limited liability constraints in a single-period model," Working Papers hal-02566942, HAL.
    5. Jessica Martin, 2021. "The Risk-Sharing Problem Under Limited Liability Constraints in a Single-Period Model," Journal of Optimization Theory and Applications, Springer, vol. 189(3), pages 854-872, June.
    6. Alex Edmans & Xavier Gabaix, 2016. "Executive Compensation: A Modern Primer," Journal of Economic Literature, American Economic Association, vol. 54(4), pages 1232-1287, December.
    7. Thiele, Veikko, 2007. "Performance measurement in multi-task agencies," Research in Economics, Elsevier, vol. 61(3), pages 148-163, September.
    8. González-Jiménez, Víctor, 2024. "Incentive design for reference-dependent preferences," Journal of Economic Behavior & Organization, Elsevier, vol. 221(C), pages 493-518.
    9. Jiajia Cong & Wen Zhou, 2021. "Optimal contract under double moral hazard and limited liability," Journal of Economics, Springer, vol. 134(1), pages 49-71, September.
    10. Fabian Herweg & Daniel Muller & Philipp Weinschenk, 2010. "Binary Payment Schemes: Moral Hazard and Loss Aversion," American Economic Review, American Economic Association, vol. 100(5), pages 2451-2477, December.
    11. Tinglong Dai & Kinshuk Jerath, 2013. "Salesforce Compensation with Inventory Considerations," Management Science, INFORMS, vol. 59(11), pages 2490-2501, November.
    12. Jenny Kragl & Anja Schöttner, 2014. "Wage Floors, Imperfect Performance Measures, And Optimal Job Design," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55(2), pages 525-550, May.
    13. Kragl, Jenny & Schöttner, Anja, 2011. "Wage floors and optimal job design," Bonn Econ Discussion Papers 01/2011, University of Bonn, Bonn Graduate School of Economics (BGSE).
    14. 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.
    15. Demougin, Dominique & Fluet, Claude, 2001. "Monitoring versus incentives," European Economic Review, Elsevier, vol. 45(9), pages 1741-1764, October.
    16. Jenny Kragl & Anja Schöttner, 2014. "Wage Floors, Imperfect Performance Measures, And Optimal Job Design," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55, pages 525-550, May.
    17. Leon Yang Chu & Guoming Lai, 2013. "Salesforce Contracting Under Demand Censorship," Manufacturing & Service Operations Management, INFORMS, vol. 15(2), pages 320-334, May.
    18. Martimort, David & Stole, Lars, 2012. "Representing equilibrium aggregates in aggregate games with applications to common agency," Games and Economic Behavior, Elsevier, vol. 76(2), pages 753-772.
    19. Kräkel, Matthias, 2004. "Tournaments versus Piece Rates under Limited Liability," Bonn Econ Discussion Papers 8/2004, University of Bonn, Bonn Graduate School of Economics (BGSE).
    20. Alex Edmans & Xavier Gabaix, 2011. "Tractability in Incentive Contracting," The Review of Financial Studies, Society for Financial Studies, vol. 24(9), pages 2865-2894.

    More about this item

    Keywords

    Moral hazard; Optimization; Evolutionary algorithms;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

    Statistics

    Access and download statistics

    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:kap:compec:v:63:y:2024:i:2:d:10.1007_s10614-022-10349-0. 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.