Coalition-proof Nash equilibrium

Coalition-proof Nash equilibrium

The concept of coalition-proof Nash equilibrium applies to certain "noncooperative" environments in which players can freely discuss their strategies but cannot make binding commitments [1]. It emphasizes the immunization to deviations that are self-enforcing. While the best-response property in Nash equilibrium is necessary for self-enforceability, it is not generally sufficient when players can jointly deviate in a way that is mutually beneficial.

The coalition-proof Nash equilibrium refines the Nash equilibrium by adopting a stronger notion of self-enforceability that allows multilateral deviations.

Parallel to the idea of correlated equilibrium as an extension to Nash equilibrium when public signalling device is allowed, coalition-proof equilibrium is defined by Diego Moreno and John Wooders.[2]

References

  1. ^ B. D. Bernheim, B. Peleg, M. D. Whinston (1987), "Coalition-Proof Equilibria I. Concepts", Journal of Economic Theory 42: 1–12. 
  2. ^ Diego Moreno and John Wooders (1996), "Coalition-Proof Equilibrium", Games and Economic Beahavior 17: 82–112. 
v · d · eTopics in game theory
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Normal-form game · Extensive-form game · Cooperative game · Succinct game · Information set · Preference
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