Abstract | ||
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The Prisoner's Dilemma Process on a graph is an iterative process where each vertex, with a fixed strategy (cooperate or defect), plays the game with each of its neighbours. At the end of a round each vertex may change its strategy to that of its neighbour with the highest pay-off. Here we study the spread of cooperative and selfish behaviours on a toroidal grid, where each vertex is initially a cooperator with probability p. When vertices are permitted to change their strategies via a randomized asynchronous update scheme, we find that for some values of p the limiting ratio of cooperators may be modelled as a polynomial in p. Theoretical bounds for this ratio are confirmed via simulation. |
Year | DOI | Venue |
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2016 | 10.1007/978-3-319-49787-7_13 | ALGORITHMS AND MODELS FOR THE WEB GRAPH, WAW 2016 |
DocType | Volume | ISSN |
Conference | 10088 | 0302-9743 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Christopher Duffy | 1 | 0 | 0.34 |
Jeannette Janssen | 2 | 295 | 32.23 |