An Exact Double-Oracle Algorithm for Zero-Sum Extensive-Form Games with Imperfect Information

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F14%3A00224949" target="_blank" >RIV/68407700:21230/14:00224949 - isvavai.cz</a>
Result on the web
<a href="http://www.jair.org/papers/paper4477.html" target="_blank" >http://www.jair.org/papers/paper4477.html</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
An Exact Double-Oracle Algorithm for Zero-Sum Extensive-Form Games with Imperfect Information
Original language description
Developing scalable solution algorithms is one of the central problems in computational game theory. We present an iterative algorithm for computing an exact Nash equilibrium for two-player zero-sum extensive-form games with imperfect information. Our approach combines two key elements: (1) the compact sequence-form representation of extensive-form games and (2) the algorithmic framework of double-oracle methods. The main idea of our algorithm is to restrict the game by allowing the players to play onlyselected sequences of available actions. After solving the restricted game, new sequences are added by finding best responses to the current solution using fast algorithms. We experimentally evaluate our algorithm on a set of games inspired by patrolling scenarios, board, and card games. The results show significant runtime improvements in games admitting an equilibrium with small support, and substantial improvement in memory use even on games with large support. The improvement in mem
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
IN - Informatics
OECD FORD branch
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Project
<a href="/en/project/GAP202%2F12%2F2054" target="_blank" >GAP202/12/2054: Security Games in Extensive Form</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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