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Farsighted stability with heterogeneous expectations

Author

Listed:
  • Francis Bloch

    (PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, PJSE - Paris Jourdan Sciences Economiques - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Anne van den Nouweland

    (University of Oregon [Eugene])

Abstract

This paper analyzes farsighted stability when agents have heterogeneous expectations over the dominance paths. We consider expectation functions satisfying the two properties of justifiability and maximality and define stable alternatives as unique stationary points of the expectation function of some agent. We characterize stable alternatives in one-to-one matching models and voting models, and show that the relaxation of the hypothesis of common expectations greatly expands the set of states that can be supported as farsightedly stable.

Suggested Citation

  • Francis Bloch & Anne van den Nouweland, 2020. "Farsighted stability with heterogeneous expectations," Post-Print halshs-02973406, HAL.
    • Handle: RePEc:hal:journl:halshs-02973406
    DOI: 10.1016/j.geb.2020.02.001
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    References listed on IDEAS

    as
    1. Moulin, H. & Peleg, B., 1982. "Cores of effectivity functions and implementation theory," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 115-145, June.
    2. , & , J. & ,, 2011. "Von Neumann-Morgenstern farsightedly stable sets in two-sided matching," Theoretical Economics, Econometric Society, vol. 6(3), September.
    3. Chwe Michael Suk-Young, 1994. "Farsighted Coalitional Stability," Journal of Economic Theory, Elsevier, vol. 63(2), pages 299-325, August.
    4. Dutta, Bhaskar & Vohra, Rajiv, 2017. "Rational expectations and farsighted stability," Theoretical Economics, Econometric Society, vol. 12(3), September.
    5. Herings, P. Jean-Jacques & Mauleon, Ana & Vannetelbosch, Vincent, 2020. "Matching with myopic and farsighted players," Journal of Economic Theory, Elsevier, vol. 190(C).
    6. Debraj Ray & Rajiv Vohra, 2019. "Maximality in the Farsighted Stable Set," Econometrica, Econometric Society, vol. 87(5), pages 1763-1779, September.
    7. Herings, P. Jean-Jacques & Mauleon, Ana & Vannetelbosch, Vincent J., 2004. "Rationalizability for social environments," Games and Economic Behavior, Elsevier, vol. 49(1), pages 135-156, October.
    8. Ehlers, Lars, 2007. "Von Neumann-Morgenstern stable sets in matching problems," Journal of Economic Theory, Elsevier, vol. 134(1), pages 537-547, May.
    9. Effrosyni Diamantoudi & Licun Xue, 2003. "Farsighted stability in hedonic games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(1), pages 39-61, August.
    10. Dutta, Bhaskar & Vartiainen, Hannu, 2020. "Coalition formation and history dependence," Theoretical Economics, Econometric Society, vol. 15(1), January.
    11. Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001. "Core in a simple coalition formation game," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 135-153.
    12. Jordan, J.S., 2006. "Pillage and property," Journal of Economic Theory, Elsevier, vol. 131(1), pages 26-44, November.
    13. Ana Mauleon & Vincent Vannetelbosch, 2004. "Farsightedness and Cautiousness in Coalition Formation Games with Positive Spillovers," Theory and Decision, Springer, vol. 56(3), pages 291-324, May.
    14. repec:dau:papers:123456789/13220 is not listed on IDEAS
    15. Konishi, Hideo & Ray, Debraj, 2003. "Coalition formation as a dynamic process," Journal of Economic Theory, Elsevier, vol. 110(1), pages 1-41, May.
    16. Debraj Ray & Rajiv Vohra, 2015. "The Farsighted Stable Set," Econometrica, Econometric Society, vol. 83(3), pages 977-1011, May.
    17. 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.
    18. Herings, P.J.J. & Mauleon, A. & Vannetelbosch, V., 2014. "Stability of networks under level-k farsightedness," Research Memorandum 030, Maastricht University, Graduate School of Business and Economics (GSBE).
    19. Grandmont, Jean-Michel, 1993. "Temporary general equilibrium theory," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 4, volume 2, chapter 19, pages 879-922, Elsevier.
    20. 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.
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    Citations

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    Cited by:

    1. Mert Kimya, 2023. "Coalition Formation Under Dominance Invariance," Dynamic Games and Applications, Springer, vol. 13(2), pages 480-496, June.
    2. de Callatay, Pierre & Mauleon, Ana & Vannetelbosch, Vincent, 2023. "Local Farsightedness in Network Formation," LIDAM Discussion Papers CORE 2023003, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Herings, P. Jean-Jacques & Mauleon, Ana & Vannetelbosch, Vincent, 2020. "Matching with myopic and farsighted players," Journal of Economic Theory, Elsevier, vol. 190(C).
    4. P. Jean-Jacques Herings & Ana Mauleon & Vincent Vannetelbosch, 2023. "Social Rationalizability with Mediation," Dynamic Games and Applications, Springer, vol. 13(2), pages 440-461, June.
    5. Kimya, Mert, 2020. "Equilibrium coalitional behavior," Theoretical Economics, Econometric Society, vol. 15(2), May.
    6. Kimya, Mert, 2020. "Farsighted Objections and Maximality in One-to-one Matching Problems," Working Papers 2020-14, University of Sydney, School of Economics.
    7. Dutta, Bhaskar & Vartiainen, Hannu, 2020. "Coalition formation and history dependence," Theoretical Economics, Econometric Society, vol. 15(1), January.
    8. Korpela, Ville & Lombardi, Michele & Vartiainen, Hannu, 2019. "Implementation with foresighted agents," MPRA Paper 102496, University Library of Munich, Germany.
    9. Mariya Teteryatnikova, 2021. "Cautious farsighted stability in network formation games with streams of payoffs," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(4), pages 829-865, December.
    10. Kimya, Mert, 2020. "Farsighted Objections and Maximality in One-to-one Matching Problems," Working Papers 202014, University of Sydney, School of Economics, revised Jul 2021.
    11. Bayer, Péter & Herings, P. Jean-Jacques & Peeters, Ronald, 2021. "Farsighted manipulation and exploitation in networks," Journal of Economic Theory, Elsevier, vol. 196(C).
    12. Kimya, Mert, 2021. "Coalition Formation Under Dominance Invariance," Working Papers 202106, University of Sydney, School of Economics.
    13. Korpela, Ville & Lombardi, Michele & Vartiainen, Hannu, 2021. "Implementation in largest consistent set via rights structures," Games and Economic Behavior, Elsevier, vol. 128(C), pages 202-212.
    14. Hirai, Toshiyuki & Watanabe, Naoki & Muto, Shigeo, 2019. "Farsighted stability in patent licensing: An abstract game approach," Games and Economic Behavior, Elsevier, vol. 118(C), pages 141-160.
    15. Bloch, Francis & van den Nouweland, Anne, 2021. "Myopic and farsighted stable sets in 2-player strategic-form games," Games and Economic Behavior, Elsevier, vol. 130(C), pages 663-683.
    16. Karos, Dominik & Kasper, Laura, 2018. "Farsighted Rationality," Research Memorandum 011, Maastricht University, Graduate School of Business and Economics (GSBE).
    17. Herings, P.J.J. & Khan, Abhimanyu, 2022. "Network Stability under Limited Foresight," Other publications TiSEM 03f2ece9-902b-4dba-a16e-0, Tilburg University, School of Economics and Management.
    18. G.-Herman Demeze-Jouatsa & Dominik Karos, 2023. "Farsighted Rationality in Hedonic Games," Dynamic Games and Applications, Springer, vol. 13(2), pages 462-479, June.
    19. Mert Kimya, 2024. "Power, Status and the Stability of Hierarchies," Working Papers 2024-04, University of Sydney, School of Economics.
    20. Kimya, Mert, 2022. "Farsighted objections and maximality in one-to-one matching problems," Journal of Economic Theory, Elsevier, vol. 204(C).
    21. Demeze-Jouatsa, Ghislain-Herman & Karos, Dominik, 2021. "Farsighted Rationality in Hedonic Games," Center for Mathematical Economics Working Papers 654, Center for Mathematical Economics, Bielefeld University.
    22. de Callatay, Pierre & Mauleon, Ana & Vannetelbosch, Vincent, 2021. "Minimally Farsighted Unstable Networks," LIDAM Discussion Papers CORE 2021012, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    23. Korpela, Ville & Lombardi, Michele, 2019. "Mechanism design with farsighted agents," MPRA Paper 94436, University Library of Munich, Germany.
    24. Kimya, Mert, 2021. "Coalition Formation Under Dominance Invariance," Working Papers 2021-06, University of Sydney, School of Economics.
    25. Karos, Dominik & Robles, Laura, 2021. "Full farsighted rationality," Games and Economic Behavior, Elsevier, vol. 130(C), pages 409-424.

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    More about this item

    Keywords

    Farsighted stable sets; Heterogeneous expectations; One-to-one matching; Voting; Effectivity functions;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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