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Any function from a non-empty polytope into itself that is locally gross direction preserving is shown to have the fixed point property. Brouwer's fixed point theorem for continuous functions is a special case. We discuss the application of the result in the area of non-cooperative game theory.
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well known refinements of the Nash equilibrium, namely, perfect Nash equilibrium and proper Nash equilibrium, are special … Nash equilibrium is shown to exist for every game. In symmetric bimatrix games, our results imply the existence of a … symmetric proper equilibrium. Applying our results to the field of evolutionary game theory yields a refinement of the …
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players to which ν will become disconnected. We focus on unilateral link formation and Nash equilibrium. We show existence of …
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Static stability of equilibrium in strategic games differs from dynamic stability in not being linked to any particular … dynamical system. In other words, it does not make any assumptions about off-equilibrium behavior. Examples of static notions of …-discrete strategy spaces. -- Stability of equilibrium ; static stability …
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We present a model of participation in elections in small networks, in which citizens suÞer from cross-pressures if voting against the alternative preferred by some of their social contacts. We analyze how the existence of cross-pressures may shape voting decisions, and so, political outcomes;...
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