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On the foundation of stability

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  • Xiao Luo

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  • Xiao Luo, 2009. "On the foundation of stability," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(2), pages 185-201, August.
  • Handle: RePEc:spr:joecth:v:40:y:2009:i:2:p:185-201
    DOI: 10.1007/s00199-008-0363-7
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    1. Xue, Licun, 2002. "Stable agreements in infinitely repeated games," Mathematical Social Sciences, Elsevier, vol. 43(2), pages 165-176, March.
    2. Greenberg, Joseph & Luo, Xiao & Oladi, Reza & Shitovitz, Benyamin, 2002. "(Sophisticated) Stable Sets in Exchange Economies," Games and Economic Behavior, Elsevier, vol. 39(1), pages 54-70, April.
    3. Mamoru Kaneko, 2002. "Epistemic logics and their game theoretic applications: Introduction," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 19(1), pages 7-62.
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    6. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-1028, July.
    7. Nakanishi, Noritsugu, 1999. "Reexamination of the International Export Quota Game through the Theory of Social Situations," Games and Economic Behavior, Elsevier, vol. 27(1), pages 132-152, April.
    8. Sheng-Chieh Huang & Xiao Luo, 2008. "Stability, sequential rationality, and subgame consistency," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(2), pages 309-329, February.
    9. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, December.
    10. Kalai, Ehud & Schmeidler, David, 1977. "An admissible set occurring in various bargaining situations," Journal of Economic Theory, Elsevier, vol. 14(2), pages 402-411, April.
    11. Effrosyni Diamantoudi, 2005. "Stable cartels revisited," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 907-921, November.
    12. Samuelson, Larry, 1992. "Dominated strategies and common knowledge," Games and Economic Behavior, Elsevier, vol. 4(2), pages 284-313, April.
    13. Aumann, Robert J., 1995. "Backward induction and common knowledge of rationality," Games and Economic Behavior, Elsevier, vol. 8(1), pages 6-19.
    14. Indrajit Ray, 1998. "Correlated equilibrium as a stable standard of behavior," Review of Economic Design, Springer;Society for Economic Design, vol. 3(3), pages 257-269.
    15. Robert Aumann & Adam Brandenburger, 2014. "Epistemic Conditions for Nash Equilibrium," World Scientific Book Chapters, in: The Language of Game Theory Putting Epistemics into the Mathematics of Games, chapter 5, pages 113-136, World Scientific Publishing Co. Pte. Ltd..
    16. Christian Ewerhart, 1998. "Rationality and the definition of consistent pairs," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(1), pages 49-59.
    17. Greenberg, Joseph & Monderer, Dov & Shitovitz, Benyamin, 1996. "Multistage Situations," Econometrica, Econometric Society, vol. 64(6), pages 1415-1437, November.
    18. Licun Xue, 1998. "Coalitional stability under perfect foresight," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 603-627.
    19. Borgers, Tilman & Samuelson, Larry, 1992. ""Cautious" Utility Maximization and Iterated Weak Dominance," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(1), pages 13-25.
    20. Hart, Sergiu, 1974. "Formation of cartels in large markets," Journal of Economic Theory, Elsevier, vol. 7(4), pages 453-466, April.
    21. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-1050, July.
    22. John C. Harsanyi, 1974. "An Equilibrium-Point Interpretation of Stable Sets and a Proposed Alternative Definition," Management Science, INFORMS, vol. 20(11), pages 1472-1495, July.
    23. Lucas, William F., 1992. "Von Neumann-Morgenstern stable sets," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 17, pages 543-590, Elsevier.
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    Citations

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    Cited by:

    1. Yi-Chun Chen & Xiao Luo, 2012. "An indistinguishability result on rationalizability under general preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(1), pages 1-12, September.
    2. Michal Król, 2012. "‘Everything must go!’- Cournot as a Stable Convention within Strategic Supply Function Competition," Economics Discussion Paper Series 1217, Economics, The University of Manchester.
    3. Hamid Beladi & Xiao Luo & Reza Oladi & Nicholas S. P. Tay, 2023. "On stability of economic networks," Theory and Decision, Springer, vol. 94(4), pages 677-691, May.
    4. Inarra, E. & Larrea, C. & Saracho, A., 2014. "The von Neumann–Morgenstern stable sets for the mixed extension of 2×2 games," Economics Letters, Elsevier, vol. 125(1), pages 70-73.
    5. Luo, Xiao, 2009. "The foundation of stability in extensive games with perfect information," Journal of Mathematical Economics, Elsevier, vol. 45(12), pages 860-868, December.

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    More about this item

    Keywords

    Game theory; Stable sets; Rationality; Common knowledge; C70; C71; D81;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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