منابع مشابه
Non-commutative Nash inequalities
A set of functional inequalities – called Nash inequalities – are introduced and analyzed in the context of quantum Markov process mixing. The basic theory of Nash inequalities is extended to the setting of non-commutative Lp spaces, where their relationship to Poincaré and log-Sobolev inequalities are fleshed out. We prove Nash inequalities for a number of unital reversible semigroups. Boundin...
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Generalized Nash games represent an extension of Nash games in which strategy sets are coupled across players. The equilibrium conditions of such a game can be compactly stated as a quasivariational inequality (QVI), an extension of the variational inequality (VI). Harker [9] showed that under certain conditions on the maps defining the QVI, a solution to a related VI solves the QVI. This is a ...
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This paper provides a sufficient condition for the existence and uniqueness of a BayesianNash equilibrium by regarding it as a solution of a variational inequality. The payoff gradient of a game is defined as a vector whose component is a partial derivative of each player’s payoff function with respect to the player’s own action. If the Jacobianmatrix of the payoff gradient is negative definite...
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ژورنال
عنوان ژورنال: Journées Équations aux dérivées partielles
سال: 2010
ISSN: 0752-0360
DOI: 10.5802/jedp.59