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Expectation formation rules and the core of partition function games

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  • Bloch, Francis
  • van den Nouweland, Anne

Abstract

This paper proposes axiomatic foundations of expectation formation rules, by which deviating players anticipate the reaction of external players in a partition function game. The projection rule is the only rule satisfying subset consistency and responsiveness to the original partition of non-deviating players. It is also the only rule satisfying subset consistency, independence of the original partition of deviating players, and coherence of expectations. Exogenous rules are the only rules satisfying subset consistency and independence of the original partition, and the pessimistic rule is the only rule generating superadditive coalitional games.

Suggested Citation

  • Bloch, Francis & van den Nouweland, Anne, 2014. "Expectation formation rules and the core of partition function games," Games and Economic Behavior, Elsevier, vol. 88(C), pages 339-353.
  • Handle: RePEc:eee:gamebe:v:88:y:2014:i:c:p:339-353
    DOI: 10.1016/j.geb.2014.10.012
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    References listed on IDEAS

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    Cited by:

    1. Stéphane Gonzalez & Alain Marciano, 2017. "De nouveaux éclairages sur le théorème de Coase et la vacuité du cœur," Revue d'économie politique, Dalloz, vol. 127(4), pages 579-600.
    2. Kóczy, LászlóÁ., 2015. "Stationary consistent equilibrium coalition structures constitute the recursive core," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 104-110.
    3. Messan Agbaglah, 2017. "Overlapping coalitions, bargaining and networks," Theory and Decision, Springer, vol. 82(3), pages 435-459, March.
    4. Marco A. Marini, 2018. "Collusive agreements in vertically differentiated markets," Chapters, in: Luis C. Corchón & Marco A. Marini (ed.),Handbook of Game Theory and Industrial Organization, Volume II, chapter 3, pages 34-56, Edward Elgar Publishing.
    5. Schultz, Bill, 2020. "Resource management and joint-planning in fragmented societies," Ecological Economics, Elsevier, vol. 171(C).
    6. Dongshuang Hou & Aymeric Lardon & T. S. H. Driessen, 2017. "Stackelberg Oligopoly TU-Games: Characterization and Nonemptiness of the Core," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(04), pages 1-16, December.
    7. Yang, Guangjing & Sun, Hao & Hou, Dongshuang & Xu, Genjiu, 2019. "Games in sequencing situations with externalities," European Journal of Operational Research, Elsevier, vol. 278(2), pages 699-708.
    8. Mikel ÁLVAREZ-MOZOS & Lars EHLERS, 2017. "Externalities and the Nucleolus," Cahiers de recherche 08-2017, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    9. Gabszewicz, Jean J. & Marini, Marco A. & Tarola, Ornella, 2016. "Core existence in vertically differentiated markets," Economics Letters, Elsevier, vol. 149(C), pages 28-32.
    10. Giorgos Stamatopoulos, 2020. "On the $$\gamma $$γ-core of asymmetric aggregative games," Theory and Decision, Springer, vol. 88(4), pages 493-504, May.
    11. Heinrich H. Nax, 2014. "A Note on the Core of TU-cooperative Games with Multiple Membership Externalities," Games, MDPI, Open Access Journal, vol. 5(4), pages 1-13, October.
    12. Laszlo A. Koczy, 2019. "The risk-based core for cooperative games with uncertainty," CERS-IE WORKING PAPERS 1906, Institute of Economics, Centre for Economic and Regional Studies.
    13. Stamatopoulos, Giorgos, 2018. "Cooperative games with externalities and probabilistic coalitional beliefs," MPRA Paper 92862, University Library of Munich, Germany.

    More about this item

    Keywords

    Partition function games; Core; Expectation formation; Axiomatization;

    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

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