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Existence and stability results on the unilateral support equilibrium

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  • Scalzo, Vincenzo

Abstract

In this paper, we consider non-cooperative games where each player has an other-regarding behavior. In particular, we study the unilateral support equilibrium introduced by Schouten et al. (2019). A strategy profile is a unilateral support equilibrium if each player’s strategy maximizes the payoff of each other when the opponents do not deviate from their equilibrium strategies. We give necessary and sufficient conditions for the existence of unilateral support equilibria in games where players have discontinuous and non necessarily ordered preferences. Moreover, we study the stability of equilibria when the players partially support the others or perturbations on players’ preferences occur.

Suggested Citation

  • Scalzo, Vincenzo, 2023. "Existence and stability results on the unilateral support equilibrium," Mathematical Social Sciences, Elsevier, vol. 123(C), pages 1-9.
    • Handle: RePEc:eee:matsoc:v:123:y:2023:i:c:p:1-9
    DOI: 10.1016/j.mathsocsci.2023.02.006
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    References listed on IDEAS

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    1. Vincenzo Scalzo, 2013. "Essential equilibria of discontinuous games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(1), pages 27-44, September.
    2. Larbani, Moussa & Nessah, Rabia, 2008. "A note on the existence of Berge and Berge-Nash equilibria," Mathematical Social Sciences, Elsevier, vol. 55(2), pages 258-271, March.
    3. Leonardo Becchetti & Massimo Cermelli, 2018. "Civil economy: definition and strategies for sustainable well-living," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 65(3), pages 329-357, September.
    4. Rabia Nessah & Guoqiang Tian, 2016. "On the existence of Nash equilibrium in discontinuous games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(3), pages 515-540, March.
    5. Michael R. Baye & Guoqiang Tian & Jianxin Zhou, 1993. "Characterizations of the Existence of Equilibria in Games with Discontinuous and Non-quasiconcave Payoffs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(4), pages 935-948.
    6. Rabin, Matthew, 1993. "Incorporating Fairness into Game Theory and Economics," American Economic Review, American Economic Association, vol. 83(5), pages 1281-1302, December.
    7. Crettez, Bertrand & Nessah, Rabia, 2020. "On the existence of unilateral support equilibrium," Mathematical Social Sciences, Elsevier, vol. 105(C), pages 41-47.
    8. Scalzo, Vincenzo, 2019. "Equilibrium existence in games: Slight single deviation property and Ky Fan minimax inequality," Journal of Mathematical Economics, Elsevier, vol. 82(C), pages 197-201.
    9. Leonardo Becchetti, 2019. "Beyond the Homo Economicus," Annals of the Fondazione Luigi Einaudi. An Interdisciplinary Journal of Economics, History and Political Science, Fondazione Luigi Einaudi, Torino (Italy), vol. 53(2), pages 115-142, December.
    10. Bertrand Crettez & Rabia Nessah, 2020. "On the existence of unilateral support equilibrium," Post-Print hal-04129341, HAL.
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