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Hybrid Procedures

Listed author(s):
  • Yukio KORIYAMA

    ()

    (Ecole Polytechnique, Department of Economics)

  • Matias Nunez

    ()

    (Université de Cergy-Pontoise, THEMA)

We consider hybrid procedures: a first step of reducing the game by iterated elimination of weakly dominated strategies (IEWDS) followed by a second step of applying an equilibrium refinement. We show that the set of perfect/proper outcomes of a reduced normal-form game might be larger than the set of the perfect/proper outcomes of the whole game by applying IEWDS. Even in dominance solvable games in which all the orders of IEWDS select a unique singleton in the game, the surviving outcome need not be a proper equilibrium of the whole game. However, in dominance solvable games that satisfy the transference of decision maker indifference condition (TDI of Marx and Swinkels, 1997), the surviving outcome coincides with the unique stable one and hence is proper.

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File URL: http://thema.u-cergy.fr/IMG/documents/2014-02.pdf
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Paper provided by THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise in its series THEMA Working Papers with number 2014-02.

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Date of creation: 2014
Handle: RePEc:ema:worpap:2014-02
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  1. von Stengel, B. & van den Elzen, A.H. & Talman, A.J.J., 2002. "Computing normal form perfect equilibria for extensive two-person games," Other publications TiSEM 9f112346-b587-47f3-ad2e-6, Tilburg University, School of Economics and Management.
  2. Govindan, S & McLennan, A, 1997. "On the Generic Finiteness of Equilibrium Outcome Distributions in Game Forms," Papers 299, Minnesota - Center for Economic Research.
  3. Kukushkin, Nikolai S. & Litan, Cristian M. & Marhuenda, Francisco, 2007. "On the Generic Finiteness of Equilibrium Outcome Distributions in Bimatrix Game Forms," MPRA Paper 3325, University Library of Munich, Germany.
  4. Govindan, Srihari & Wilson, Robert, 2001. "Direct Proofs of Generic Finiteness of Nash Equilibrium Outcomes," Econometrica, Econometric Society, vol. 69(3), pages 765-769, May.
  5. Marx, Leslie M. & Swinkels, Jeroen M., 1997. "Order Independence for Iterated Weak Dominance," Games and Economic Behavior, Elsevier, vol. 18(2), pages 219-245, February.
  6. Glazer, Jacob & Rubinstein, Ariel, 1996. "An Extensive Game as a Guide for Solving a Normal Game," Journal of Economic Theory, Elsevier, vol. 70(1), pages 32-42, July.
  7. 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.
  8. Samuelson, Larry, 1992. "Dominated strategies and common knowledge," Games and Economic Behavior, Elsevier, vol. 4(2), pages 284-313, April.
  9. van Damme, E.E.C., 1984. "A relation between perfect equilibria in extensive form games and proper equilibria in normal form games," Other publications TiSEM 3734d89e-fd5c-4c80-a230-5, Tilburg University, School of Economics and Management.
  10. Carlos Pimienta, 2007. "Generic Finiteness of Outcome Distributions for Two Person Game Forms with Three Outcomes," Discussion Papers 2007-20, School of Economics, The University of New South Wales.
  11. repec:cor:louvrp:-1467 is not listed on IDEAS
  12. Martin Dufwenberg & Mark Stegeman, 2002. "Existence and Uniqueness of Maximal Reductions Under Iterated Strict Dominance," Econometrica, Econometric Society, vol. 70(5), pages 2007-2023, September.
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