Game Theory has recently drawn attention in new fields which go from algorithmic mechanism design to cybernetics. However, a fundamental problem to solve for effectively applying Game Theory in real word applications is the definition of well-founded solution concepts of a game and the design of efficient algorithms for their computation. A widely accepted solution concept for games in which any cooperation among the players must be self-enforcing (non-cooperative games) is represented by the Nash equilibrium. However, even in the two players case, the best algorithm known for computing Nash equilibria has an exponential worst-case running time; furthermore, if the computation of equilibria with simple additional properties is required, theproblem becomes NP-hard. The paper aims to provide a solution for efficiently computing the Nash equilibriaof a game as the result of the evolution of a system composed by interacting agents playing the game.

Computing Nash Equilibria in Non-Cooperative Games: an agent-based approach

GARRO, Alfredo
2013

Abstract

Game Theory has recently drawn attention in new fields which go from algorithmic mechanism design to cybernetics. However, a fundamental problem to solve for effectively applying Game Theory in real word applications is the definition of well-founded solution concepts of a game and the design of efficient algorithms for their computation. A widely accepted solution concept for games in which any cooperation among the players must be self-enforcing (non-cooperative games) is represented by the Nash equilibrium. However, even in the two players case, the best algorithm known for computing Nash equilibria has an exponential worst-case running time; furthermore, if the computation of equilibria with simple additional properties is required, theproblem becomes NP-hard. The paper aims to provide a solution for efficiently computing the Nash equilibriaof a game as the result of the evolution of a system composed by interacting agents playing the game.
Computational Complexity; Game Theory; Multi-Agent Systems; Non-Cooperative Games; Nash Equilibria
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/135260
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