IDEAS home Printed from https://ideas.repec.org/a/spr/cejnor/v29y2021i3d10.1007_s10100-020-00719-0.html
   My bibliography  Save this article

Principal/Two-Agent model with internal signal

Author

Listed:
  • Andreja Smole

    (Cosylab)

  • Timotej Jagrič

    (University of Maribor)

  • Drago Bokal

    (University of Maribor)

Abstract

Our novel game-theoretic Principal/Two-Agent model ensures that the Principal has a reliable internal signal about the Agents’ invested work and effort. Analysing the dominant strategies deductively proves that suboptimal results cannot be prevented with focus on evaluation, implying that quality of work, not its evaluation, must be considered as the most important outcome of the process. The objective of the paper is to establish a new game theoretic model that can be used as a tool for policy makers and managers to motivate Agents and ensure high quality results. Additionally, the model can be used to determine the awards in a company bonus system. The newly developed model is an extended Principal-Agent model with an internal game between two Agents, whose payoff structure can be set in order to ensure truthful implementation of the internal signal to the Principal. By analysing the dominant strategies, we determined the conditions that ensure each Nash equilibrium of the game to manifest the desired outcome. The model presents a novel approach to alignment of interests, for example, in economy, social problems (e.g. policy making for educational process), management, project management, and the mentor-apprentice relationship.

Suggested Citation

  • Andreja Smole & Timotej Jagrič & Drago Bokal, 2021. "Principal/Two-Agent model with internal signal," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 29(3), pages 791-808, September.
  • Handle: RePEc:spr:cejnor:v:29:y:2021:i:3:d:10.1007_s10100-020-00719-0
    DOI: 10.1007/s10100-020-00719-0
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10100-020-00719-0
    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/s10100-020-00719-0?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. Lazear, Edward P & Rosen, Sherwin, 1981. "Rank-Order Tournaments as Optimum Labor Contracts," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 841-864, October.
    2. Drago Bokal & Mitja Steinbacher, 2019. "Phases of psychologically optimal learning experience: task-based time allocation model," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 27(3), pages 863-885, September.
    3. Krautmann, Anthony C. & Sander, William, 1999. "Grades and student evaluations of teachers," Economics of Education Review, Elsevier, vol. 18(1), pages 59-63, February.
    4. Andreoni, James, 1990. "Impure Altruism and Donations to Public Goods: A Theory of Warm-Glow Giving?," Economic Journal, Royal Economic Society, vol. 100(401), pages 464-477, June.
    5. Janet H. Lawrence & Sergio Celis & Molly Ott, 2014. "Is the Tenure Process Fair? What Faculty Think," The Journal of Higher Education, Taylor & Francis Journals, vol. 85(2), pages 155-192, March.
    6. Tin-chun Lin, 2009. "Application of a static game of complete information: economic behaviors of professors and students," Economics Bulletin, AccessEcon, vol. 29(3), pages 1678-1686.
    7. Dietl, Helmut M. & Grossmann, Martin & Lang, Markus & Wey, Simon, 2013. "Incentive effects of bonus taxes in a principal-agent model," Journal of Economic Behavior & Organization, Elsevier, vol. 89(C), pages 93-104.
    8. Neal, Derek, 2011. "The Design of Performance Pay in Education," Handbook of the Economics of Education, in: Erik Hanushek & Stephen Machin & Ludger Woessmann (ed.), Handbook of the Economics of Education, edition 1, volume 4, chapter 0, pages 495-550, Elsevier.
    9. William E. Becker & William Bosshardt & Michael Watts, 2012. "How Departments of Economics Evaluate Teaching," The Journal of Economic Education, Taylor & Francis Journals, vol. 43(3), pages 325-333, July.
    10. Hongyan Liu & Shizheng Liu, 2013. "Salesperson compensation contract design based on multi‐agent principal agent model," Nankai Business Review International, Emerald Group Publishing Limited, vol. 4(1), pages 78-86, March.
    11. Brown, Byron W. & Saks, Daniel H., 1987. "The microeconomics of the allocation of teachers' time and student learning," Economics of Education Review, Elsevier, vol. 6(4), pages 319-332, August.
    12. Derek Neal, 2011. "The Design of Performance Pay in Education," NBER Working Papers 16710, National Bureau of Economic Research, Inc.
    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. Andrej Kastrin & Janez Povh & Lidija Zadnik Stirn & Janez Žerovnik, 2021. "Methodologies and applications for resilient global development from the aspect of SDI-SOR special issues of CJOR," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 29(3), pages 773-790, September.

    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. Jones, Michael D., 2013. "Teacher behavior under performance pay incentives," Economics of Education Review, Elsevier, vol. 37(C), pages 148-164.
    2. Scott A. Imberman & Michael F. Lovenheim, 2015. "Incentive Strength and Teacher Productivity: Evidence from a Group-Based Teacher Incentive Pay System," The Review of Economics and Statistics, MIT Press, vol. 97(2), pages 364-386, May.
    3. Angelo Antoci & Irene Brunetti & Pierluigi Sacco & Mauro Sodini, 2021. "Student evaluation of teaching, social influence dynamics, and teachers’ choices: An evolutionary model," Journal of Evolutionary Economics, Springer, vol. 31(1), pages 325-348, January.
    4. Bengt Holmström, 2017. "Pay for Performance and Beyond," American Economic Review, American Economic Association, vol. 107(7), pages 1753-1777, July.
    5. Jalava, Nina & Joensen, Juanna Schrøter & Pellas, Elin, 2015. "Grades and rank: Impacts of non-financial incentives on test performance," Journal of Economic Behavior & Organization, Elsevier, vol. 115(C), pages 161-196.
    6. Braga, Michela & Paccagnella, Marco & Pellizzari, Michele, 2014. "Evaluating students’ evaluations of professors," Economics of Education Review, Elsevier, vol. 41(C), pages 71-88.
    7. Tin-chun Lin, 2009. "Implications of grade inflation: knowledge illusion and economic inefficiency in the knowledge market," Economics Bulletin, AccessEcon, vol. 29(3), pages 2314-2324.
    8. Murphy, Richard & Weinhardt, Felix & Wyness, Gill, 2021. "Who teaches the teachers? A RCT of peer-to-peer observation and feedback in 181 schools," Economics of Education Review, Elsevier, vol. 82(C).
    9. Michael Bates & Michael Dinerstein & Andrew C. Johnston & Isaac Sorkin, 2022. "Teacher Labor Market Equilibrium and Student Achievement," CESifo Working Paper Series 9551, CESifo.
    10. Pope, Nolan G., 2019. "The effect of teacher ratings on teacher performance," Journal of Public Economics, Elsevier, vol. 172(C), pages 84-110.
    11. Barigozzi, Francesca & Parasnis, Jaai & Tani, Massimiliano, 2022. "Gender, Motivation, and Self-Selection into Teaching," IZA Discussion Papers 15532, Institute of Labor Economics (IZA).
    12. Roland G. Fryer, 2013. "Teacher Incentives and Student Achievement: Evidence from New York City Public Schools," Journal of Labor Economics, University of Chicago Press, vol. 31(2), pages 373-407.
    13. de Hoyos, Rafael & Estrada, Ricardo & Vargas, María José, 2021. "What do test scores really capture? Evidence from a large-scale student assessment in Mexico," World Development, Elsevier, vol. 146(C).
    14. Michael Dinerstein & Isaac M. Opper, 2022. "Screening with Multitasking," CESifo Working Paper Series 9869, CESifo.
    15. Matthias Sutter, 2004. "Tournaments for the endogenous allocating of prizes within workteams - Theory and experimental evidence," Papers on Strategic Interaction 2004-10, Max Planck Institute of Economics, Strategic Interaction Group.
    16. Dhushyanth Raju, 2017. "Public School Teacher Management in Sri Lanka," South Asia Economic Journal, Institute of Policy Studies of Sri Lanka, vol. 18(1), pages 39-63, March.
    17. repec:spo:wpmain:info:hdl:2441/1seuirq4ak9b9bouu1j29ebui7 is not listed on IDEAS
    18. Anne Boring, 2015. "Gender Biases in Student Evaluations of Teachers," SciencePo Working papers Main hal-03470161, HAL.
    19. Sarena F. Goodman & Lesley J. Turner, 2013. "The Design of Teacher Incentive Pay and Educational Outcomes: Evidence from the New York City Bonus Program," Journal of Labor Economics, University of Chicago Press, vol. 31(2), pages 409-420.
    20. Timothy Bond & Kevin Mumford, 2017. "Teacher Performance Pay in the United States: Incidence and Adult Outcomes," Purdue University Economics Working Papers 1289, Purdue University, Department of Economics.
    21. Blanco, Esther & Struwe, Natalie & Walker, James M., 2021. "Experimental evidence on sharing rules and additionality in transfer payments," Journal of Economic Behavior & Organization, Elsevier, vol. 188(C), pages 1221-1247.

    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:cejnor:v:29:y:2021:i:3:d:10.1007_s10100-020-00719-0. 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.