IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v256y2017i2p673-684.html
   My bibliography  Save this article

An approximate solution to rent-seeking contests with private information

Author

Listed:
  • Gallice, Andrea

Abstract

We propose an approximate solution to rent-seeking contests in which participants have heterogeneous and private valuations. The procedure only requires common knowledge about the mean of the distribution of valuations. We obtain a closed-form expression for an agent’s level of investment and subject it to comparative statics analysis. We then assess the performance of the model and find that the proposed solution provides a remarkably effective approximation of the optimal solution for a wide range of parameter specifications.

Suggested Citation

  • Gallice, Andrea, 2017. "An approximate solution to rent-seeking contests with private information," European Journal of Operational Research, Elsevier, vol. 256(2), pages 673-684.
  • Handle: RePEc:eee:ejores:v:256:y:2017:i:2:p:673-684
    DOI: 10.1016/j.ejor.2016.07.039
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037722171630594X
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ejor.2016.07.039?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. Hausken, Kjell & Bier, Vicki M., 2011. "Defending against multiple different attackers," European Journal of Operational Research, Elsevier, vol. 211(2), pages 370-384, June.
    2. Stahl Dale O. & Wilson Paul W., 1995. "On Players' Models of Other Players: Theory and Experimental Evidence," Games and Economic Behavior, Elsevier, vol. 10(1), pages 218-254, July.
    3. Yelin Fu & Kin Keung Lai & Liang Liang, 2016. "A robust optimisation approach to the problem of supplier selection and allocation in outsourcing," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(4), pages 913-918, March.
    4. Hausken, Kjell, 2008. "Strategic defense and attack for series and parallel reliability systems," European Journal of Operational Research, Elsevier, vol. 186(2), pages 856-881, April.
    5. Ewerhart, Christian, 2014. "Unique equilibrium in rent-seeking contests with a continuum of types," Economics Letters, Elsevier, vol. 125(1), pages 115-118.
    6. Nti, Kofi O, 1999. "Rent-Seeking with Asymmetric Valuations," Public Choice, Springer, vol. 98(3-4), pages 415-430, March.
    7. Einy, E. & Haimanko, O. & Moreno, D. & Sela, A. & Shitovitz, B., 2015. "Equilibrium existence in Tullock contests with incomplete information," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 241-245.
    8. White, Leroy, 2016. "Behavioural operational research: Towards a framework for understanding behaviour in OR interventions," European Journal of Operational Research, Elsevier, vol. 249(3), pages 827-841.
    9. Krishna, Vijay, 2009. "Auction Theory," Elsevier Monographs, Elsevier, edition 2, number 9780123745071.
    10. Christian Ewerhart, 2014. "Unique equilibrium in rent-seeking contests with a continuum of types," ECON - Working Papers 159, Department of Economics - University of Zurich.
    11. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, March.
    12. Konstantinos V. Katsikopoulos, 2014. "Bounded rationality: the two cultures," Journal of Economic Methodology, Taylor & Francis Journals, vol. 21(4), pages 361-374, December.
    13. Franco, L. Alberto & Hämäläinen, Raimo P., 2016. "Behavioural operational research: Returning to the roots of the OR profession," European Journal of Operational Research, Elsevier, vol. 249(3), pages 791-795.
    14. Hausken, Kjell, 2008. "Strategic defense and attack for reliability systems," Reliability Engineering and System Safety, Elsevier, vol. 93(11), pages 1740-1750.
    15. Li, Shu-Hsing & Balachandran, Kashi R., 1997. "Optimal transfer pricing schemes for work averse division managers with private information," European Journal of Operational Research, Elsevier, vol. 98(1), pages 138-153, April.
    16. Yosef Rinott & Marco Scarsini & Yaming Yu, 2012. "A Colonel Blotto Gladiator Game," Mathematics of Operations Research, INFORMS, vol. 37(4), pages 574-590, November.
    17. Cassey Lee, 2011. "Bounded Rationality And The Emergence Of Simplicity Amidst Complexity," Journal of Economic Surveys, Wiley Blackwell, vol. 25(3), pages 507-526, July.
    18. Zhuang, Jun & Bier, Vicki M. & Alagoz, Oguzhan, 2010. "Modeling secrecy and deception in a multiple-period attacker-defender signaling game," European Journal of Operational Research, Elsevier, vol. 203(2), pages 409-418, June.
    19. Stefan Szymanski, 2010. "The Economic Design of Sporting Contests," Palgrave Macmillan Books, in: The Comparative Economics of Sport, chapter 1, pages 1-78, Palgrave Macmillan.
    20. Vincent P. Crawford & Miguel A. Costa-Gomes & Nagore Iriberri, 2013. "Structural Models of Nonequilibrium Strategic Thinking: Theory, Evidence, and Applications," Journal of Economic Literature, American Economic Association, vol. 51(1), pages 5-62, March.
    21. Konstantinos V. Katsikopoulos, 2011. "Psychological Heuristics for Making Inferences: Definition, Performance, and the Emerging Theory and Practice," Decision Analysis, INFORMS, vol. 8(1), pages 10-29, March.
    22. Saif Benjaafar & Ehsan Elahi & Karen L. Donohue, 2007. "Outsourcing via Service Competition," Management Science, INFORMS, vol. 53(2), pages 241-259, February.
    23. Herbert A. Simon, 1955. "A Behavioral Model of Rational Choice," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 69(1), pages 99-118.
    24. Richard Cornes & Roger Hartley, 2005. "Asymmetric contests with general technologies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 923-946, November.
    25. Warneryd, Karl, 2003. "Information in conflicts," Journal of Economic Theory, Elsevier, vol. 110(1), pages 121-136, May.
    26. Becker, Kai Helge, 2016. "An outlook on behavioural OR – Three tasks, three pitfalls, one definition," European Journal of Operational Research, Elsevier, vol. 249(3), pages 806-815.
    27. Mark Fey, 2008. "Rent-seeking contests with incomplete information," Public Choice, Springer, vol. 135(3), pages 225-236, June.
    28. Cédric Wasser, 2013. "Incomplete information in rent-seeking contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(1), pages 239-268, May.
    29. Stein, William E, 2002. "Asymmetric Rent-Seeking with More Than Two Contestants," Public Choice, Springer, vol. 113(3-4), pages 325-336, December.
    30. Hämäläinen, Raimo P. & Luoma, Jukka & Saarinen, Esa, 2013. "On the importance of behavioral operational research: The case of understanding and communicating about dynamic systems," European Journal of Operational Research, Elsevier, vol. 228(3), pages 623-634.
    31. Mo, Huadong & Xie, Min & Levitin, Gregory, 2015. "Optimal resource distribution between protection and redundancy considering the time and uncertainties of attacks," European Journal of Operational Research, Elsevier, vol. 243(1), pages 200-210.
    32. Hurley, Terrance M. & Shogren, Jason F., 1998. "Effort levels in a Cournot Nash contest with asymmetric information," Journal of Public Economics, Elsevier, vol. 69(2), pages 195-210, June.
    33. Brocklesby, John, 2016. "The what, the why and the how of behavioural operational research—An invitation to potential sceptics," European Journal of Operational Research, Elsevier, vol. 249(3), pages 796-805.
    34. Wang, Xiaofang & Zhuang, Jun, 2011. "Balancing congestion and security in the presence of strategic applicants with private information," European Journal of Operational Research, Elsevier, vol. 212(1), pages 100-111, July.
    35. Alcalde, José & Dahm, Matthias, 2010. "Rent seeking and rent dissipation: A neutrality result," Journal of Public Economics, Elsevier, vol. 94(1-2), pages 1-7, February.
    36. Garfinkel, Michelle R. & Skaperdas, Stergios, 2007. "Economics of Conflict: An Overview," Handbook of Defense Economics, in: Keith Hartley & Todd Sandler (ed.), Handbook of Defense Economics, edition 1, volume 2, chapter 22, pages 649-709, Elsevier.
    37. Lambert Schoonbeek & Barbara Winkel, 2006. "Activity and inactivity in a rent-seeking contest with private information," Public Choice, Springer, vol. 127(1), pages 123-132, April.
    38. Takeshi Yamazaki, 2008. "On the Existence and Uniqueness of Pure‐Strategy Nash Equilibrium in Asymmetric Rent‐Seeking Contests," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(2), pages 317-327, April.
    39. Hurley, Terrance M, 1998. "Rent Dissipation and Efficiency in a Contest with Asymmetric Valuations," Public Choice, Springer, vol. 94(3-4), pages 289-298, March.
    40. Lee, Ching Chyi & Ferguson, Michael J., 2010. "To reveal or not to reveal? Strategic disclosure of private information in negotiation," European Journal of Operational Research, Elsevier, vol. 207(1), pages 380-390, November.
    41. Ryvkin, Dmitry, 2010. "Contests with private costs: Beyond two players," European Journal of Political Economy, Elsevier, vol. 26(4), pages 558-567, December.
    42. Dmitry Ryvkin, 2013. "Heterogeneity of Players and Aggregate Effort in Contests," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 22(4), pages 728-743, December.
    43. Nitzan, Shmuel, 1994. "Modelling rent-seeking contests," European Journal of Political Economy, Elsevier, vol. 10(1), pages 41-60, May.
    44. Baye, Michael R. & Hoppe, Heidrun C., 2003. "The strategic equivalence of rent-seeking, innovation, and patent-race games," Games and Economic Behavior, Elsevier, vol. 44(2), pages 217-226, August.
    45. Katsikopoulos, Konstantinos V., 2016. "On the role of psychological heuristics in operational research; and a demonstration in military stability operationsAuthor-Name: Keller, Niklas," European Journal of Operational Research, Elsevier, vol. 249(3), pages 1063-1073.
    46. Hurley, Terrance M. & Shogren, Jason F., 1998. "Asymmetric information contests," European Journal of Political Economy, Elsevier, vol. 14(4), pages 645-665, November.
    47. Deck, Cary & Foster, Joshua & Song, Hongwei, 2015. "Defense against an opportunistic challenger: Theory and experiments," European Journal of Operational Research, Elsevier, vol. 242(2), pages 501-513.
    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. Christian Ewerhart & Federico Quartieri, 2020. "Unique equilibrium in contests with incomplete information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(1), pages 243-271, July.
    2. Aner Sela, 2023. "All-pay matching contests," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(2), pages 587-606, June.
    3. Sumit Goel, 2022. "Optimal grading contests," Papers 2205.05207, arXiv.org, revised Sep 2023.
    4. Segev, Ella, 2020. "Crowdsourcing contests," European Journal of Operational Research, Elsevier, vol. 281(2), pages 241-255.
    5. Ratul Lahkar & Rezina Sultana, 2023. "Rent dissipation in large population Tullock contests," Public Choice, Springer, vol. 197(1), pages 253-282, October.

    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. Christian Ewerhart & Federico Quartieri, 2020. "Unique equilibrium in contests with incomplete information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(1), pages 243-271, July.
    2. Fu, Qiang & Wu, Zenan & Zhu, Yuxuan, 2022. "On equilibrium existence in generalized multi-prize nested lottery contests," Journal of Economic Theory, Elsevier, vol. 200(C).
    3. Ryvkin, Dmitry, 2010. "Contests with private costs: Beyond two players," European Journal of Political Economy, Elsevier, vol. 26(4), pages 558-567, December.
    4. Yangguang Huang & Ming He, 2021. "Structural Analysis Of Tullock Contests With An Application To U.S. House Of Representatives Elections," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 62(3), pages 1011-1054, August.
    5. Ori Haimanko, 2021. "Bayesian Nash equilibrium existence in (almost continuous) contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(3), pages 1231-1258, April.
    6. Einy, E. & Haimanko, O. & Moreno, D. & Sela, A. & Shitovitz, B., 2015. "Equilibrium existence in Tullock contests with incomplete information," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 241-245.
    7. Heijnen, Pim & Schoonbeek, Lambert, 2019. "Rent-seeking with uncertain discriminatory power," European Journal of Political Economy, Elsevier, vol. 56(C), pages 103-114.
    8. Mercier, Jean-François, 2018. "Non-deterministic group contest with private information," Mathematical Social Sciences, Elsevier, vol. 95(C), pages 47-53.
    9. Andrea Gallice, 2014. "Rent-seeking contests with private valuations," Carlo Alberto Notebooks 390, Collegio Carlo Alberto.
    10. Subhasish M. Chowdhury & Patricia Esteve‐González & Anwesha Mukherjee, 2023. "Heterogeneity, leveling the playing field, and affirmative action in contests," Southern Economic Journal, John Wiley & Sons, vol. 89(3), pages 924-974, January.
    11. Thomas Giebe & Paul Schweinzer, 2015. "Probabilistic procurement auctions," Review of Economic Design, Springer;Society for Economic Design, vol. 19(1), pages 25-46, March.
    12. Christian Ewerhart & Julia Lareida, 2018. "Voluntary disclosure in asymmetric contests," ECON - Working Papers 279, Department of Economics - University of Zurich, revised Jul 2023.
    13. Lambert Schoonbeek, 2017. "Information And Endogenous Delegation In A Rent-Seeking Contest," Economic Inquiry, Western Economic Association International, vol. 55(3), pages 1497-1510, July.
    14. Emmanuel Dechenaux & Dan Kovenock & Roman Sheremeta, 2015. "A survey of experimental research on contests, all-pay auctions and tournaments," Experimental Economics, Springer;Economic Science Association, vol. 18(4), pages 609-669, December.
    15. Gil Epstein & Igal Milchtaich & Shmuel Nitzan & Mordechai Schwarz, 2007. "Ambiguous political power and contest efforts," Public Choice, Springer, vol. 132(1), pages 113-123, July.
    16. Philip Brookins & Dmitry Ryvkin, 2014. "An experimental study of bidding in contests of incomplete information," Experimental Economics, Springer;Economic Science Association, vol. 17(2), pages 245-261, June.
    17. Konrad, Kai A., 2007. "Strategy in contests: an introduction [Strategie in Turnieren – eine Einführung]," Discussion Papers, Research Unit: Market Processes and Governance SP II 2007-01, WZB Berlin Social Science Center.
    18. Aiche, A. & Einy, Ezra & Haimanko, Ori & Moreno, Diego & Selay, A. & Shitovitz, Benyamin, 2016. "Information advantage in common-value classic Tullock contests," UC3M Working papers. Economics 23939, Universidad Carlos III de Madrid. Departamento de Economía.
    19. Ratul Lahkar & Rezina Sultana, 2023. "Rent dissipation in large population Tullock contests," Public Choice, Springer, vol. 197(1), pages 253-282, October.
    20. Einy, E & Haimanko, O & Moreno, D & Sela, A & Shitovitz, B, 2013. "Tullock Contests with Asymmetric Information," Discussion Papers 2013-11, Graduate School of Economics, Hitotsubashi University.

    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:eee:ejores:v:256:y:2017:i:2:p:673-684. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    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.