Title
A new algorithm for generating equilibria in massive zero-sum games
Abstract
In normal scenarios, computer scientists often consider the number of states in a game to capture the difficulty of learning an equilibrium. However, players do not see games in the same light: most consider Go or Chess to be more complex than Monopoly. In this paper, we discuss a new measure of game complexity that links existing state-of-the-art algorithms for computing approximate equilibria to a more human measure. In particular, we consider the range of skill in a game, i.e. how many different skill levels exist. We then modify existing techniques to design a new algorithm to compute approximate equilibria whose performance can be captured by this new measure. We use it to develop the first near Nash equilibrium for a four round abstraction of poker, and show that it would have been able to win handily the bankroll competition from last year's AAAI poker competition.
Year
Venue
Keywords
2007
AAAI
last year,aaai poker competition,new measure,nash equilibrium,game complexity,massive zero-sum game,different skill level,new algorithm,computer scientist,human measure,approximate equilibrium,state space,zero sum game
Field
DocType
Citations 
Correlated equilibrium,Computer science,Best response,Algorithm,Equilibrium selection,Repeated game,Game theory,Normal-form game,Sequential game,Extensive-form game
Conference
27
PageRank 
References 
Authors
2.89
7
3
Name
Order
Citations
PageRank
Martin Zinkevich11893160.99
Michael H. Bowling22460205.07
Neil Burch337329.51