منابع مشابه
Deterministic Graphical Games Revisited
We revisit the deterministic graphical games of Washburn. A deterministic graphical game can be described as a simple stochastic game (a notion due to Anne Condon), except that we allow arbitrary real payoffs but disallow moves of chance. We study the complexity of solving deterministic graphical games and obtain an almost-linear time comparison-based algorithm for computing an equilibrium of s...
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Gabow and Tarjan showed that the Bottleneck Path (BP) problem, i.e., finding a path between a given source and a given target in a weighted directed graph whose largest edge weight is minimized, as well as the Bottleneck spanning tree (BST) problem, i.e., finding a directed spanning tree rooted at a given vertex whose largest edge weight is minimized, can both be solved deterministically in O(m...
متن کاملGraphical Games
In this chapter we examine the representational and algorithmic aspects of a class of graph-theoretic models for multiplayer games. Known broadly as graphical games, these models specify restrictions on the direct payoff influences among the player population. In addition to a number of nice computational properties, these models have close connections to well-studied graphical models for proba...
متن کاملNash Equilibrium in Graphical Games and Stochastic Graphical Games
In this paper, graphical games, a compact graphical representation for multi-player game theory is introduced. Various Nash equilibrium computing algorithms for graphical games are reviewed and a naive join tree base approximate Nash equilibrium computing algorithm is proposed. The proposed algorithm can be efficiently used in graphical games with arbitrary underlying structure. Graphical repre...
متن کاملGraphical potential games
We study the class of potential games that are also graphical games with respect to a given graph G of connections between the players. We show that, up to strategic equivalence, this class of games can be identified with the set of Markov random fields on G. From this characterization, and from the Hammersley-Clifford theorem, it follows that the potentials of such games can be decomposed to l...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1990
ISSN: 0022-247X
DOI: 10.1016/0022-247x(90)90267-j