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Some remarks on equilibria in semi-Markov games

Andrzej Nowak (2000)

Applicationes Mathematicae

This paper is a first study of correlated equilibria in nonzero-sum semi-Markov stochastic games. We consider the expected average payoff criterion under a strong ergodicity assumption on the transition structure of the games. The main result is an extension of the correlated equilibrium theorem proven for discounted (discrete-time) Markov games in our joint paper with Raghavan. We also provide an existence result for stationary Nash equilibria in the limiting average payoff semi-Markov games with...

Split of an Optimization Variable in Game Theory

R. Aboulaich, A. Habbal, N. Moussaid (2010)

Mathematical Modelling of Natural Phenomena

In the present paper, a general multiobjective optimization problem is stated as a Nash game. In the nonrestrictive case of two objectives, we address the problem of the splitting of the design variable between the two players. The so-called territory splitting problem is solved by means of an allocative approach. We propose two algorithms in order to find fair allocation tables

Stochastic stability in spatial games

Jacek Miękisz (2008)

Banach Center Publications

We compare two concepts of stochastic stability in spatial games. The classical approach to stochastic stability, introduced by Foster and Young [8], involves single configurations in the zero-noise limit. Ensemble stability discussed in [17] refers to ensembles of configurations in the limit of an infinite number of players. The above two limits may not commute. We will discuss reasons of such behaviour. We review some results concerning the effect of the number of players and the noise level on...

Sur l’équilibre fort selon Berge

Moussa Larbani, Rabia Nessah (2001)

RAIRO - Operations Research - Recherche Opérationnelle

Dans cet article nous étudions les propriétés essentielles de l’équilibre fort selon Berge (EFSB) pour les jeux à n personnes, ensuite nous prouvons son existence en utilisant l’inégalité de Ky Fan et donnons un procédé adéquat pour sa recherche pratique.

Sur l'équilibre fort selon Berge

Moussa Larbani, Rabia Nessah (2010)

RAIRO - Operations Research

In this paper we study the main properties of the strong Berge equilibrium, then we prove a theorem of its existence based on the Ky Fan inequality and finally, we provide an algorithm for its determination.

Un nuevo algoritmo para la resolución de juegos bimatriciales.

Luciano Méndez Naya (1992)

Trabajos de Investigación Operativa

En este artículo se da un nuevo algoritmo para la resolución de juegos bimatriciales basado en encontrar las respuestas óptimas a las estrategias de cada jugador. El desarrollo del algoritmo se basa en un teorema de convexidad que se demuestra en el artículo.

Un refinamiento del concepto de equilibrio propio de Myerson.

Ignacio García Jurado (1989)

Trabajos de Investigación Operativa

In this paper we review Myerson's proper equilibrium concept and introduce a strict refinement of it; we also demonstrate the existence of at least one of our solutions in every finite non-cooperative n-person normal form game.

Z -equilibria in many-player stochastic differential games

Svatoslav Gaidov (1993)

Archivum Mathematicum

In this paper N -person nonzero-sum games are considered. The dynamics is described by Ito stochastic differential equations. The cost-functions are conditional expectations of functionals of Bolza type with respect to the initial situation. The notion of Z -equilibrium is introduced in many-player stochastic differential games. Some properties of Z -equilibria are analyzed. Sufficient conditions are established guaranteeing the Z -equilibrium for the strategies of the players. In a particular case...

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