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Coalition-proofness under weak and strong Pareto dominance

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  • Federico Quartieri

Abstract

This article examines the structure of pure strategy coalition-proof Nash equilibria under weak and strong Pareto dominance in games with strategic complementarities and isotone externalities. The analysis is particularly focused on the following issues: (i) the inclusion relation between the set of coalition-proof Nash equilibria under weak Pareto dominance and the set of coalition-proof Nash equilibria under strong Pareto dominance; (ii) the conditions for the coincidence of the strong (resp. weak) Pareto dominance refinement and the coalition-proofness refinement under strong (resp. weak) Pareto dominance; (iii) the conditions for the uniqueness of a coalition-proof Nash equilibrium under both notions of Pareto dominance. Dual results are stated for games with antitone externalities. Copyright Springer-Verlag 2013

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  • Federico Quartieri, 2013. "Coalition-proofness under weak and strong Pareto dominance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(2), pages 553-579, February.
    • Handle: RePEc:spr:sochwe:v:40:y:2013:i:2:p:553-579
    DOI: 10.1007/s00355-011-0618-2
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    Cited by:

    1. Federico Quartieri & Ryusuke Shinohara, 2015. "Coalition-proofness in a class of games with strategic substitutes," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(4), pages 785-813, November.

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