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The Consistency Principle for Games in Strategic Form

  • Peleg, B.
  • Tijs, S.

We start with giving an axiomatic characterization of the Nash equilibrium (NE) correspondence in terms of consistency, converse consistency and one-person rationality. Then axiomatizations are given of the strong NE correspondence, the coalition-proof NE correspondence and the semi-strong NE. In all these characterizations consistency and suitable variants of converse consistency play a role. Finally, the dominant NE correspondence is characterized. We also indicate how to generalize our results to Bayesian and extensive games.

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Paper provided by Tilburg - Center for Economic Research in its series Papers with number 9306.

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Length: 37 pages
Date of creation: 1993
Date of revision:
Handle: RePEc:fth:tilbur:9306
Contact details of provider: Postal: TILBURG UNIVERSITY, CENTER FOR ECONOMIC RESEARCH, 5000 LE TILBURG THE NETHERLANDS.
Phone: 31 13 4663050
Fax: 31 13 4663066
Web page: http://center.uvt.nl/Email:


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  1. Borm, P.E.M. & Tijs, S.H., 1992. "Strategic claim games corresponding to an NTU-game," Other publications TiSEM 0acf76c8-5da7-4972-a4fa-7, School of Economics and Management.
  2. repec:ner:tilbur:urn:nbn:nl:ui:12-154217 is not listed on IDEAS
  3. NEYMAN, Abraham, 1988. "Uniqueness of the Shapley value," CORE Discussion Papers 1988013, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. KOHLBERG, Elon & MERTENS, Jean-François, . "On the strategic stability of equilibria," CORE Discussion Papers RP -716, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. Peleg, B, 1986. "On the Reduced Game Property and Its Converse," International Journal of Game Theory, Springer, vol. 15(3), pages 187-200.
  6. Moulin, H. & Peleg, B., 1982. "Cores of effectivity functions and implementation theory," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 115-145, June.
  7. repec:ner:tilbur:urn:nbn:nl:ui:12-154222 is not listed on IDEAS
  8. Lensberg, Terje, 1988. "Stability and the Nash solution," Journal of Economic Theory, Elsevier, vol. 45(2), pages 330-341, August.
  9. repec:ner:tilbur:urn:nbn:nl:ui:12-146632 is not listed on IDEAS
  10. Tadenuma, K, 1992. "Reduced Games, Consistency, and the Core," International Journal of Game Theory, Springer, vol. 20(4), pages 325-34.
  11. Peleg, Bezalel, 1985. "An axiomatization of the core of cooperative games without side payments," Journal of Mathematical Economics, Elsevier, vol. 14(2), pages 203-214, April.
  12. Borm, P. E. M. & Tijs, S. H., 1992. "Strategic claim games corresponding to an NTU-game," Games and Economic Behavior, Elsevier, vol. 4(1), pages 58-71, January.
  13. Maschler, M. & Potters, J.A.M. & Tijs, S.H., 1992. "The general nucleolus and the reduced game property," Other publications TiSEM ab187dab-1b5b-40c3-a673-8, School of Economics and Management.
  14. Borm, P.E.M. & Tijs, S.H., 1992. "Strategic claim games corresponding to an NTU-game," Other publications TiSEM e52774ec-5d61-41f8-8325-b, School of Economics and Management.
  15. Maschler, M & Potters, J A M & Tijs, S H, 1992. "The General Nucleolus and the Reduced Game Property," International Journal of Game Theory, Springer, vol. 21(1), pages 85-106.
  16. Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
  17. Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
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