Title
Convergence Of The Iterated Prisoner's Dilemma Game
Abstract
Co-learning is a model involving agents from a large population, who interact by playing a xed game and update their behaviour based on previous experience and the outcome of this game. The Highest Cumulative Reward rule is an update rule which ensures the emergence of cooperation in a population of agents without centralized control, for various games and interaction topologies. We analyse the convergence rate of this rule when applied to the Iterated Prisoner's dilemma game, proving that the convergence rate is optimal when the interaction topology is a cycle and exponential when it is a complete graph.
Year
DOI
Venue
2002
10.1017/S096354830100503X
Combinatorics, Probability & Computing
Keywords
Field
DocType
complete graph,prisoner s dilemma,convergence rate,cumulant
Simultaneous game,Discrete mathematics,Complete graph,Combinatorics,Prisoner's dilemma,Stochastic process,Symmetric equilibrium,Rate of convergence,Time complexity,Iterated function,Mathematics
Journal
Volume
Issue
ISSN
11
2
0963-5483
Citations 
PageRank 
References 
13
0.95
6
Authors
5
Name
Order
Citations
PageRank
Martin Dyer1102997.62
leslie ann goldberg21411125.20
Catherine Greenhill362862.40
Gabriel Istrate49924.96
mark jerrum52755564.62