On the existence of approximate equilibria and sharing rule solutions in discontinuous games: Equilibria and sharing rule solutions

@inproceedings{Bich2017OnTE,
  title={On the existence of approximate equilibria and sharing rule solutions in discontinuous games: Equilibria and sharing rule solutions},
  author={Philippe Bich and Rida Laraki},
  year={2017}
}
This paper studies the existence of equilibrium solution concepts in a large class of economic models with discontinuous payoff functions. The issue is well understood for Nash equilibria, thanks to Reny's better-reply security condition (Reny (1999)), and its recent improvements (Barelli and Meneghel (2013); McLennan et al. (2011); Reny (2009, 2011)). We propose new approaches, related to Reny's work, and obtain tight conditions for the existence of approximate equilibria and of sharing rule… CONTINUE READING

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