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For a quarter century, a top priority in transportation economic theory has been to develop models of rush-hour traffic dynamics that incorporate traffic jams (hypercongestion). The difficulty has been that "proper" models result in mathematical intractabilty, while none of the proposed...
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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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with unawareness, define equilibrium, and prove existence. We show how equilibria are extended naturally from lower to … investigate the robustness of equilibria to uncertainty about opponents' awareness of actions. We show that a Nash equilibrium of …
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