Game Networks

Fuente: arXiv
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1. Verfasser: La Mura, Pierfrancesco
Format: Preprint
Veröffentlicht: 2013
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author La Mura, Pierfrancesco
author_facet La Mura, Pierfrancesco
contents We introduce Game networks (G nets), a novel representation for multi-agent decision problems. Compared to other game-theoretic representations, such as strategic or extensive forms, G nets are more structured and more compact; more fundamentally, G nets constitute a computationally advantageous framework for strategic inference, as both probability and utility independencies are captured in the structure of the network and can be exploited in order to simplify the inference process. An important aspect of multi-agent reasoning is the identification of some or all of the strategic equilibria in a game; we present original convergence methods for strategic equilibrium which can take advantage of strategic separabilities in the G net structure in order to simplify the computations. Specifically, we describe a method which identifies a unique equilibrium as a function of the game payoffs, and one which identifies all equilibria.
format Preprint
id arxiv_https___arxiv_org_abs_1301_3870
institution arXiv
publishDate 2013
record_format arxiv
spellingShingle Game Networks
La Mura, Pierfrancesco
Computer Science and Game Theory
Artificial Intelligence
We introduce Game networks (G nets), a novel representation for multi-agent decision problems. Compared to other game-theoretic representations, such as strategic or extensive forms, G nets are more structured and more compact; more fundamentally, G nets constitute a computationally advantageous framework for strategic inference, as both probability and utility independencies are captured in the structure of the network and can be exploited in order to simplify the inference process. An important aspect of multi-agent reasoning is the identification of some or all of the strategic equilibria in a game; we present original convergence methods for strategic equilibrium which can take advantage of strategic separabilities in the G net structure in order to simplify the computations. Specifically, we describe a method which identifies a unique equilibrium as a function of the game payoffs, and one which identifies all equilibria.
title Game Networks
topic Computer Science and Game Theory
Artificial Intelligence
url https://arxiv.org/abs/1301.3870