finite normal form gamesfinite n-person gamesNash equilibriumnoncooperative conceptsrandom gamesgame theory/ C1140E Game theory C1290 Applications of systems theoryIn this paper we introduce the weakly strict equilibrium for (mixed extensions of) finite n -person games. For those games we prove that...
A Nash equilibrium has become important solution concept for analyzing the decision making in Game theory. In this paper, we consider the problem of computing Nash equilibria of a subclass of generic finite normal form games. We define "rational payoff irrational equilibria games" to be the games...
Figure 15.13 shows an ordinal potential game and its associated ordinal potential function. Consider the normal form game, Γ, shown in the figure's matrix representation. This game is an ordinal potential game with a potential function given by V. Note that this potential function is neither a...
This paper introduces a new normal form rationalizability concept, which in reduced normal form games corresponding to generic finite extensive games of pe... F Schuhmacher - 《International Journal of Game Theory》 被引量: 106发表: 1999年 Order Independence and Rationalizability K. R. Apt. Or...
It is also worth mentioning that purifiable truthful equilibria may not be regular (consider the associated normal form game and apply the definition of regularity by van Damme (1996)) even in generic evidence games. For example, in the purifiable truthful equilibrium of the example in Sect. ...
Nash proposed an interpretation of mixed strategies as the average pure-strategy play of a population of players randomly matched to play a normal-form game. If populations are finite, some equilibria of the underlying game have no such corresponding 'mass-action' equilibrium. We show that for ...
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In 1975 the first author proved that every finite tight two-person game form g is Nash-solvable, that is, for every payoffs u and w of two players the obtained normal form game (g;u,w) has a Nash equilibrium (NE) in pure strategies. Several proofs of this theorem were obtained later...
This is called disjunctive normal form, and is essential in the design of the logical circuitry making up digital computers. We have already seen how colorful language can be. Not surprisingly, it turns out that there are a great variety of different ways of saying that p implies q. Here ...
It is proved that a finite game is potential if and only if its potential equation has solution. Some properties of the potential equation are obtained. Based on these properties, a closed form solution of the PE is obtained. Moreover, a formula based on the solution of the PE is ...