Contests with dominant strategies

  • Carmen BeviáEmail author
  • Luis Corchón
Research Article


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.


Contests Dominant strategies Optimality under uncertainty Additively separable CSF 

JEL classification

C7 D7 



We are grateful to Z. Méder, S. Heinsalu, N. Kudryashova, J. Rueda-Llano, H. Sabourian, B. Schipper, the associate editor and four anonymous referees for very helpful comments. Thanks to the MOMA network under the project ECO2014-57673-REDT for financial support. The first author acknowledges financial support from ECO2014 53051, SGR2014-515 and PROMETEO/2013/037. The second author acknowledges financial support from ECO2014_57442_P, ECO2017_87769_P, MDM 2014-0431 and S2015/HUM-3444.


  1. Barberá, S., Pattanaik, P.: Falmagne and the rationalizability of stochastic choices in terms of random orderings. Econometrica 54, 707–715 (1986)CrossRefGoogle Scholar
  2. Bergemann, D., Schlag, K.: Robust monopoly pricing. J. Econ. Theory 146, 2527–2543 (2011)CrossRefGoogle Scholar
  3. Bergemann, D., Morris, S.: Robust Mechanism Design: The Role of Private Information and Higher Order Beliefs, vol. 8318. World Scientific Publishing, Singapore (2012)CrossRefGoogle Scholar
  4. Bossert, W., Pattanaik, P.K., Xu, Y.: Choice under complete uncertainty: axiomatic characterizations of some decision rules. Econ. Theory 16, 295–312 (2000). CrossRefGoogle Scholar
  5. Chawla, S., Hartline, jD, Sivan, B.: Optimal crowdsourcing contests. Games Econ. Behav. 113, 80–96 (2019)CrossRefGoogle Scholar
  6. Corchon, L., Ortuño-Ortin, I.: Robust implementation under alternative information structures. Econ. Des. 1, 159–171 (1994)Google Scholar
  7. Cubel, M., Sanchez-Pages, S.: An axiomatization of difference-form contest success functions. J. Econ. Behav. Organ. 131, 92–105 (2016)CrossRefGoogle Scholar
  8. Daskalakis, C., Goldberg, P.W., Papadimitriou, C.H.: The complexity of computing a nash equilibrium. SIAM J. Comput. 39, 195–259 (2009)CrossRefGoogle Scholar
  9. Dechenaux, E., Kovenock, D., Sheremeta, R.: A survey of experimental research on contests, all-pay auctions and tournaments. Exp. Econ. 18, 609–669 (2015)CrossRefGoogle Scholar
  10. Gill, D., Prowse, V.: A structural analysis of disappointment aversion in real effort competion. Am. Econ. Rev. 102, 469–503 (2012)CrossRefGoogle Scholar
  11. Jia, H., Skaperdas, S., Vaidya, S.: Contest functions: theoretical foundations and issues in estimation. Int. J. Ind. Organ. 31, 211–22 (2013)CrossRefGoogle Scholar
  12. Laffont, J.J., Maskin, E.: A differential approach to dominant strategy mechanisms. Econometrica 48, 1507–1520 (1980)CrossRefGoogle Scholar
  13. Maskin, E., Sjöström, T.: Implementation theory. In: Arrow, K., Sen, A., Suzumura, K. (eds.) Handbook of Social Choice Theory, vol. I, pp. 237–288. Elsevier, Amsterdam (2002)Google Scholar
  14. Milnor, J.: Games against nature. In: Thrall, R., Coombs, C., Davis, R. (eds.) Decision Processes, pp. 49–61. Wiley, New York (1954)Google Scholar
  15. Myerson, R.: Optimal auction design. Math. Oper. Res. 6, 58–73 (1981)CrossRefGoogle Scholar
  16. Myerson, R.: Mechanism design by an informed principal. Econometrica 51, 1767–1797 (1983)CrossRefGoogle Scholar
  17. Polishchuk, L., Tonis, A.: Endogenous contest success functions: a mechanism design approach. Econ. Theory 52, 271–297 (2013). CrossRefGoogle Scholar
  18. Renou, L., Schlag, K.: Minimax regret and strategic uncertainty. J. Econ. Theory 145, 264–286 (2010)CrossRefGoogle Scholar
  19. Rezai, A., van der Ploeg, F.: Climate policies under climate model uncertainty: max–min and min–max regret uncertainty. Energy Econ. 68, 4–16 (2017)CrossRefGoogle Scholar
  20. Serena, M.: Quality contests. Eur. J. Polit. Econ. 46, 15–25 (2017)CrossRefGoogle Scholar
  21. Skaperdas, S., Vaidya, S.: Persuasion as a contest. Econ. Theory 51, 465–486 (2012). CrossRefGoogle Scholar
  22. Skaperdas, S., Toukanb, A., Vaidya, S.: Difference-form Persuasion contests. J. Public Econ. Theory 18, 882–909 (2016)CrossRefGoogle Scholar
  23. Wilson, R.: Game-theoretic approaches to trading processes. In: Bewley, T. (ed.) Advances in Economic Theory: Fifth World Congress, pp. 33–77. Cambridge University Press, Cambridge (1987)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Fundamentos del Análisis EconómicoUniversidad de AlicanteAlicanteSpain
  2. 2.Department of EconomicsUniversidad Carlos III de MadridMadridSpain

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