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On the generic finiteness of outcome distributions for bimatrix game forms

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  • Marhuenda Hurtado, Francisco
  • Kukushkin, Nicolai S.
  • Litan, Cristian M.

Abstract

We provide an example of an outcome game form with two players for which there is in an open set of utilities for both players such that, in each of the associated games, the set of Nash equilibria induce a continuum of outcome distributions. The case for three or more players has been settled by Govindan and McLennan [3].

Suggested Citation

  • Marhuenda Hurtado, Francisco & Kukushkin, Nicolai S. & Litan, Cristian M., 2007. "On the generic finiteness of outcome distributions for bimatrix game forms," UC3M Working papers. Economics we073520, Universidad Carlos III de Madrid. Departamento de Economía.
  • Handle: RePEc:cte:werepe:we073520
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    References listed on IDEAS

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    1. Torsten Persson, 2002. "Do Political Institutions Shape Economic Policy?," Econometrica, Econometric Society, vol. 70(3), pages 883-905, May.
    2. Stephen Coate & Brian Knight, 2007. "Socially Optimal Districting: A Theoretical and Empirical Exploration," The Quarterly Journal of Economics, Oxford University Press, vol. 122(4), pages 1409-1471.
    3. Francesco De Sinopoli, 2000. "Sophisticated voting and equilibrium refinements under plurality rule," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(4), pages 655-672.
    4. Francesco Sinopoli & Giovanna Iannantuoni, 2007. "A spatial voting model where proportional rule leads to two-party equilibria," International Journal of Game Theory, Springer;Game Theory Society, vol. 35(2), pages 267-286, January.
    5. Timothy Besley & Ian Preston, 2007. "Electoral Bias and Policy Choice: Theory and Evidence," The Quarterly Journal of Economics, Oxford University Press, vol. 122(4), pages 1473-1510.
    6. Jean-François Mertens, 1989. "Stable Equilibria---A Reformulation," Mathematics of Operations Research, INFORMS, vol. 14(4), pages 575-625, November.
    7. Alesina, Alberto & Rosenthal, Howard, 1996. "A Theory of Divided Government," Econometrica, Econometric Society, vol. 64(6), pages 1311-1341, November.
    8. Persson, Torsten & Tabellini, Guido, 1999. "The size and scope of government:: Comparative politics with rational politicians," European Economic Review, Elsevier, vol. 43(4-6), pages 699-735, April.
    9. Ehud Kalai & Dov Samet, 1982. "Persistent Equilibria in Strategic Games," Discussion Papers 515, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    10. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
    11. Moulin, Herve, 1979. "Dominance Solvable Voting Schemes," Econometrica, Econometric Society, vol. 47(6), pages 1137-1151, November.
    12. Faruk Gul & Wolfgang Pesendorfer, 2010. "Strategic Redistricting," American Economic Review, American Economic Association, vol. 100(4), pages 1616-1641, September.
    13. repec:hrv:faseco:34222831 is not listed on IDEAS
    14. repec:cup:apsrev:v:76:y:1982:i:04:p:753-766_18 is not listed on IDEAS
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    Cited by:

    1. Pimienta, Carlos, 2009. "Generic determinacy of Nash equilibrium in network-formation games," Games and Economic Behavior, Elsevier, vol. 66(2), pages 920-927, July.
    2. Pimienta, Carlos, 2010. "Generic finiteness of outcome distributions for two-person game forms with three outcomes," Mathematical Social Sciences, Elsevier, vol. 59(3), pages 364-365, May.

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    Keywords

    Nash equilibrium;

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