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Reciprocal Upper Semicontinuity and Better Reply Secure Games: A Comment

Adib Bagh, Alejandro Jofre

Econometrica · 2006 · Volume 74 · Issue 6

DOI: 10.1111/j.1468-0262.2006.00724.x

Abstract

A convex, compact, and possibly discontinuous better reply secure game has a Nash equilibrium. We introduce a very weak notion of continuity that can be used to establish that a game is better reply secure and we show that this notion of continuity is satisfied by a large class of games.

Keywords

Better reply secure, discontinuous games, Nash equilibrium, payoff secure, reciprocal upper semicontinuity, weak reciprocal upper semicontinuity

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