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Inter and intra-group conflicts as a foundation for contest success functions

  • Pelosse, Yohan

This paper introduces a notion of partitioned correlated equilibrium that extends Aumann's correlated equilibrium concept (1974, 1987). This concept captures the non-cooperative interactions arising simultaneously within and between groups. We build on this notion in order to provide a foundation for contest success functions (CSFs) in a game wherein contests arise endogenously. Our solution concept and analysis are general enough to give a foundation for any model of contest using standard equilibrium concepts like e.g., Nash, Bayesian-Nash or Perfect-Nash equilibria. In our environment, popular CSFs can be interpreted as a list of equilibrium conjectures held by players whenever they contemplate deviating from the ``peaceful outcome'' of the ``group formation game''. Our setup allows to relate the form of prominent CSFs with some textbook examples of quasi-linear utility functions, social utility functions in the spirit of Fehr and Schmidt (1999) and non-expected models of utility a la Quiggin (1981, 1982). We also show that our framework can accommodate situations in which agents cannot correlate their actions.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 31468.

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Date of creation: 2011
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Handle: RePEc:pra:mprapa:31468
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  1. Ernst Fehr & Klaus M. Schmidt, . "A Theory of Fairness, Competition and Cooperation," IEW - Working Papers 004, Institute for Empirical Research in Economics - University of Zurich.
  2. Luis C. Corchon, 2007. "The theory of contests : a survey," Economics Working Papers we075126, Universidad Carlos III, Departamento de Economía.
  3. Carmen Bevia & Luis C. Corchon, 2008. "Peace agreements without commitment," Economics Working Papers we081508, Universidad Carlos III, Departamento de Economía.
  4. Jack Hirshleifer, 1989. "Conflict and rent-seeking success functions: Ratio vs. difference models of relative success," Public Choice, Springer, vol. 63(2), pages 101-112, November.
  5. Tversky, Amos & Kahneman, Daniel, 1992. " Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
  6. Robert J. Aumann, 2010. "Correlated Equilibrium as an expression of Bayesian Rationality," Levine's Working Paper Archive 661465000000000377, David K. Levine.
  7. Christian Riis & Derek J. Clark, 1997. "Contest success functions: an extension," Economic Theory, Springer, vol. 11(1), pages 201-204.
  8. Bloch, Francis, 1996. "Sequential Formation of Coalitions in Games with Externalities and Fixed Payoff Division," Games and Economic Behavior, Elsevier, vol. 14(1), pages 90-123, May.
  9. Arye L. Hillman & John G. Riley, 1987. "Politically Contestable Rents and Transfers," UCLA Economics Working Papers 452, UCLA Department of Economics.
  10. Muthoo, Abhinay, 2004. "A model of the origins of basic property rights," Games and Economic Behavior, Elsevier, vol. 49(2), pages 288-312, November.
  11. José Alcalde & Matthias Dahm, 2007. "Tullock And Hirshleifer: A Meeting Of The Minds," Working Papers. Serie AD 2007-13, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  12. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer, vol. 7(2), pages 283-290.
  13. Che, Yeon-Koo & Gale, Ian, 2000. "Difference-Form Contests and the Robustness of All-Pay Auctions," Games and Economic Behavior, Elsevier, vol. 30(1), pages 22-43, January.
  14. Nitzan, Shmuel, 1994. "Modelling rent-seeking contests," European Journal of Political Economy, Elsevier, vol. 10(1), pages 41-60, May.
  15. Hirshleifer, Jack, 1995. "Anarchy and Its Breakdown," Journal of Political Economy, University of Chicago Press, vol. 103(1), pages 26-52, February.
  16. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July.
  17. Richard L. Fullerton & R. Preston McAfee, 1999. "Auctioning Entry into Tournaments," Journal of Political Economy, University of Chicago Press, vol. 107(3), pages 573-605, June.
  18. Quiggin, John & Horowitz, John, 1995. "Time and Risk," Journal of Risk and Uncertainty, Springer, vol. 10(1), pages 37-55, January.
  19. Francis Bloch & Santiago Sánchez-Pagés & Raphaël Soubeyran, 2006. "When does universal peace prevail? Secession and group formation in conflict," Economics of Governance, Springer, vol. 7(1), pages 3-29, 01.
  20. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
  21. Aumann, Robert J., 1974. "Subjectivity and correlation in randomized strategies," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 67-96, March.
  22. Baik, Kyung Hwan, 1998. "Difference-form contest success functions and effort levels in contests," European Journal of Political Economy, Elsevier, vol. 14(4), pages 685-701, November.
  23. Ray, D. & Vohra, R., 1993. "Equilibrium Binding Agreements," Papers 21, Boston University - Department of Economics.
  24. 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.
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