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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 …
Persistent link: https://www.econbiz.de/10011327822
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.
Persistent link: https://www.econbiz.de/10011342557
In a standard general equilibrium model it is assumed that there are no price restictionsand that prices adjust … infinitely fast to their equilibrium values. In this paper the set ofadmissible prices is allowed to be an arbitrary convex set …. For such an arbitrary set it cannotbe guaranteed that there exists a constrained equilibrium satisfying the usual …
Persistent link: https://www.econbiz.de/10011257502
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...</p>
Persistent link: https://www.econbiz.de/10011257532
first show that two well known refinements of the Nash equilibrium, namely, perfect Nash equilibrium and proper Nash … equilibrium, are special cases of our robustness concept. Further, a third special case of robustness refines the concept of … properness and a robust Nash equilibrium is shown to exist for every game. In symmetric bimatrix games, our results imply the …
Persistent link: https://www.econbiz.de/10005137165
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.
Persistent link: https://www.econbiz.de/10005137207
In a standard general equilibrium model it is assumed that there are no price restictions and that prices adjust … infinitely fast to their equilibrium values. In this paper the set of admissible prices is allowed to be an arbitrary convex set …. For such an arbitrary set it cannot be guaranteed that there exists a constrained equilibrium satisfying the usual …
Persistent link: https://www.econbiz.de/10005144447
show that two well known refinements of the Nash equilibrium, namely, perfect Nash equilibrium and proper Nash equilibrium … and a robust 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 …
Persistent link: https://www.econbiz.de/10005344703
Persistent link: https://www.econbiz.de/10000918270
Persistent link: https://www.econbiz.de/10000932254