KKM principle, fixed points, and Nash equilibria
نویسندگان
چکیده
منابع مشابه
On the Complexity of Nash Equilibria and Other Fixed Points
We reexamine what it means to compute Nash equilibria and, more generally, what it means to compute a fixed point of a given Brouwer function, and we investigate the complexity of the associated problems. Specifically, we study the complexity of the following problem: given a finite game, Γ, with 3 or more players, and given > 0, compute an approximation within of some (actual) Nash equilibrium...
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CP-nets are a natural way to express qualitative and conditional preferences. Here we relate them to a natural extension of the classical notion of a strategic game in which parametrized strict linear orderings are used instead of payoff functions. We show then that the optimal outcomes of a CP-net are exactly the Nash-equilibria of an appropriately defined strategic game in the above sense. Th...
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A universal schema for diagonalization was popularized by N.S. Yanofsky (2003), based on a pioneering work of F.W. Lawvere (1969), in which the existence of a (diagonolized-out and contradictory) object implies the existence of a fixed-point for a certain function. It was shown that many self-referential paradoxes and diagonally proved theorems can fit in that schema. Here, we fi...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1992
ISSN: 0022-247X
DOI: 10.1016/0022-247x(92)90133-x