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Contests with dominant strategies

Author

Listed:
  • Carmen Beviá

    (Universidad de Alicante)

  • Luis Corchón

    (Universidad Carlos III de Madrid)

Abstract

In this paper, we first characterize the class of contest success functions (CSFs) that yield contests with equilibria in dominant strategies. Then we study the optimal contest as a decision problem under uncertainty. We consider the classical criteria of Wald, Laplace, Hurwicz and Savage. We find that the CSF that maximizes aggregate effort under these criteria has the form of an additively separable cutoff CSF.

Suggested Citation

  • Carmen Beviá & Luis Corchón, 2022. "Contests with dominant strategies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(4), pages 1-19, November.
    • Handle: RePEc:spr:joecth:v:74:y:2022:i:4:d:10.1007_s00199-019-01226-3
    DOI: 10.1007/s00199-019-01226-3
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    References listed on IDEAS

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    1. Myerson, Roger B, 1983. "Mechanism Design by an Informed Principal," Econometrica, Econometric Society, vol. 51(6), pages 1767-1797, November.
    2. Renou, Ludovic & Schlag, Karl H., 2010. "Minimax regret and strategic uncertainty," Journal of Economic Theory, Elsevier, vol. 145(1), pages 264-286, January.
    3. Cubel, María & Sanchez-Pages, Santiago, 2016. "An axiomatization of difference-form contest success functions," Journal of Economic Behavior & Organization, Elsevier, vol. 131(PA), pages 92-105.
    4. Dirk Bergemann & Stephen Morris, 2012. "Robust Mechanism Design:The Role of Private Information and Higher Order Beliefs," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 8318, August.
    5. Stergios Skaperdas & Samarth Vaidya, 2012. "Persuasion as a contest," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(2), pages 465-486, October.
    6. Dirk Bergemann & Stephen Morris, 2012. "Robust Mechanism Design," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 2, pages 49-96, World Scientific Publishing Co. Pte. Ltd..
    7. Prasanta K. Pattanaik & Yongsheng Xu & Walter Bossert, 2000. "Choice under complete uncertainty: axiomatic characterizations of some decision rules," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 16(2), pages 295-312.
    8. Jia, Hao & Skaperdas, Stergios & Vaidya, Samarth, 2013. "Contest functions: Theoretical foundations and issues in estimation," International Journal of Industrial Organization, Elsevier, vol. 31(3), pages 211-222.
    9. Dirk Bergemann & Karl Schlag, 2012. "Robust Monopoly Pricing," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 13, pages 417-441, World Scientific Publishing Co. Pte. Ltd..
    10. 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.
    11. Rezai, Armon & van der Ploeg, Frederick, 2017. "Climate policies under climate model uncertainty: Max-min and min-max regret," Energy Economics, Elsevier, vol. 68(S1), pages 4-16.
    12. Luis Corchon & Ignacio Ortuño-Ortin, 1994. "Robust implementation under alternative information structures," Review of Economic Design, Springer;Society for Economic Design, vol. 1(1), pages 159-171, December.
    13. David Gill & Victoria Prowse, 2012. "A Structural Analysis of Disappointment Aversion in a Real Effort Competition," American Economic Review, American Economic Association, vol. 102(1), pages 469-503, February.
    14. Barbera, Salvador & Pattanaik, Prasanta K, 1986. "Falmagne and the Rationalizability of Stochastic Choices in Terms of Random Orderings," Econometrica, Econometric Society, vol. 54(3), pages 707-715, May.
    15. Stergios Skaperdas & Amjad Toukan & Samarth Vaidya, 2016. "Difference-Form Persuasion Contests," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 18(6), pages 882-909, December.
    16. Laffont, Jean-Jacques & Maskin, Eric, 1980. "A Differential Approach to Dominant Strategy Mechanisms," Econometrica, Econometric Society, vol. 48(6), pages 1507-1520, September.
    17. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    18. Chawla, Shuchi & Hartline, Jason D. & Sivan, Balasubramanian, 2019. "Optimal crowdsourcing contests," Games and Economic Behavior, Elsevier, vol. 113(C), pages 80-96.
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    Cited by:

    1. Kai A. Konrad & Dan Kovenock, 2022. "Introduction to the Special Issue on Contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(4), pages 1017-1023, November.
    2. Dirk Bergemann & Tan Gan & Yingkai Li, 2023. "Managing Persuasion Robustly: The Optimality of Quota Rules," Papers 2310.10024, arXiv.org.

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    More about this item

    Keywords

    Contests; Dominant strategies; Optimality under uncertainty; Additively separable CSF;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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