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Very weakly dominant strategies

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  • Bachi, Benjamin
  • Rachmilevitch, Shiran

Abstract

We introduce a new solution concept for n-person strategic games — very weak dominance — which is weaker than ordinary weak dominance, but stronger than Nash equilibrium. One of the attractive features of this concept is that it can provide intuitive predictions to games in which weakly dominant strategies exist, but they seem unappealing.

Suggested Citation

  • Bachi, Benjamin & Rachmilevitch, Shiran, 2024. "Very weakly dominant strategies," Mathematical Social Sciences, Elsevier, vol. 132(C), pages 75-78.
    • Handle: RePEc:eee:matsoc:v:132:y:2024:i:c:p:75-78
    DOI: 10.1016/j.mathsocsci.2024.09.005
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    References listed on IDEAS

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    1. Shengwu Li, 2017. "Obviously Strategy-Proof Mechanisms," American Economic Review, American Economic Association, vol. 107(11), pages 3257-3287, November.
    2. Fey, Mark, 2012. "Symmetric games with only asymmetric equilibria," Games and Economic Behavior, Elsevier, vol. 75(1), pages 424-427.
    3. Rachmilevitch, Shiran, 2020. "An implementation of the Nash bargaining solution by iterated strict dominance," Economics Letters, Elsevier, vol. 188(C).
    4. Karagözoğlu, Emin & Keskin, Kerim & Sağlam, Çağrı, 2013. "A minimally altruistic refinement of Nash equilibrium," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 422-430.
    5. Nejat Anbarci, 2001. "Divide-the-Dollar Game Revisited," Theory and Decision, Springer, vol. 50(4), pages 295-303, June.
    6. Shiran Rachmilevitch, 2023. "Symmetric games with only asymmetric equilibria: examples with continuous payoff functions," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(1), pages 65-68, April.
    7. Emin Karagözoğlu & Shiran Rachmilevitch, 2018. "Implementing egalitarianism in a class of Nash demand games," Theory and Decision, Springer, vol. 85(3), pages 495-508, October.
    8. Kalai, Adam Tauman & Kalai, Ehud, 2024. "Beyond dominance and Nash: Ranking equilibria by critical mass," Games and Economic Behavior, Elsevier, vol. 144(C), pages 378-394.
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    Keywords

    Dominant strategies; Solution concepts;

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