Publication Type

Conference Proceeding Article

Version

publishedVersion

Publication Date

1-2007

Abstract

We introduce a weakening of standard gametheoretic δ-dominance conditions, called dominance, which enables more aggressive pruning of candidate strategies at the cost of solution accuracy. Equilibria of a game obtained by eliminating a δ-dominated strategy are guaranteed to be approximate equilibria of the original game, with degree of approximation bounded by the dominance parameter. We can apply elimination of δ-dominated strategies iteratively, but the for which a strategy may be eliminated depends on prior eliminations. We discuss implications of this order independence, and propose greedy heuristics for determining a sequence of eliminations to reduce the game as far as possible while keeping down costs. A case study analysis of an empirical 2-player game serves to illustrate the technique, and demonstrate the utility of weaker-than-weak dominance pruning.

Discipline

Artificial Intelligence and Robotics | Operations Research, Systems Engineering and Industrial Engineering

Publication

Proceedings of the Twentieth International Joint Conference on Artificial Intelligence IJCAI-07: Hyderabad, India, 6-12 January, 2007

First Page

1233

Last Page

1238

ISBN

9781577352983

Publisher

AAAI Press

City or Country

Menlo Park, CA

Additional URL

http://www.aaai.org/Library/IJCAI/2007/ijcai07-199.php

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