Paper Info
Title
Chaos Between Stochasticity And Periodicity In The Prisoner'S Dilemma Game
Abstract
We study the transition from stochasticity to determinism in the three-strategy pair-approximated prisoner's dilemma game. We show that the stochastic solution converges to the deterministic limit cycle attractor as the number of participating players increases. Importantly though, between the stochastic and periodic solutions, we reveal a broad range of population sizes for which the system exhibits deterministic behavior, yet fails to settle onto the limit cycle attractor. We show that these states are characterized by chaos via a rigorous treatment. Results are discussed in view of their sociological importance.
Year
DOI
Venue
2008
10.1142/S0218127408020720
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
evolutionary game theory, chaos, prisoner's dilemma game, stochastic integration, pair approximation
Journal
18
Issue
ISSN
Citations 
3
0218-1274
2
PageRank 
References 
Authors
0.50
2
3
Name
Order
Citations
PageRank
Marko Gosak1133.43
Marko Marhl2227.31
Matjaz Perc3134994.25