%0 Journal Article %1 Szabo:1998p4157 %A Szabo, G %A Toke, C %D 1998 %J Phys Rev E %K Cellular-Automaton, Critical Exponents, Field-Theory, Gas, Mean-Field Model, Percolation, Phase-Transitions, Reggeon Surface-Reaction %N 1 %P 69--73 %T Evolutionary prisoner's dilemma game on a square lattice %V 58 %X A simplified prisoner's game is studied on a square lattice when the players interacting with their neighbors can follow two strategies: to cooperate (C) or to defect (D) unconditionally. The prayers updated in random sequence have a chance to adopt one of the neighboring strategies with a probability depending on the payoff difference. Using Monte:Carlo simulations and dynamical cluster techniques, we study the density c of cooperators in the stationary state. This system exhibits a continuous transition between the two absorbing states when varying the value of temptation to defect. In the limits c-->0 and 1 we have observed critical transitions belonging to the universality class of directed percolation.

@article{Szabo:1998p4157, abstract = {A simplified prisoner's game is studied on a square lattice when the players interacting with their neighbors can follow two strategies: to cooperate (C) or to defect (D) unconditionally. The prayers updated in random sequence have a chance to adopt one of the neighboring strategies with a probability depending on the payoff difference. Using Monte:Carlo simulations and dynamical cluster techniques, we study the density c of cooperators in the stationary state. This system exhibits a continuous transition between the two absorbing states when varying the value of temptation to defect. In the limits c-->0 and 1 we have observed critical transitions belonging to the universality class of directed percolation.}, added-at = {2009-02-08T16:38:56.000+0100}, affiliation = {Mat Sci Res Inst, H-1525 Budapest, Hungary}, author = {Szabo, G and Toke, C}, biburl = {https://www.bibsonomy.org/bibtex/25e09d34e1d2af56f714b4bac37cfb782/svsegbro}, date-added = {2008-07-10 16:49:15 +0200}, date-modified = {2008-08-08 17:05:55 +0200}, interhash = {4b97625ae46ca81f5f6de510a49ca9ce}, intrahash = {5e09d34e1d2af56f714b4bac37cfb782}, journal = {Phys Rev E}, keywords = {Cellular-Automaton, Critical Exponents, Field-Theory, Gas, Mean-Field Model, Percolation, Phase-Transitions, Reggeon Surface-Reaction}, local-url = {file://localhost/Users/sven/Documents/Papers/1998/Szabo/Phys%20Rev%20E%201998%20Szabo.pdf}, number = 1, pages = {69--73}, rating = {0}, read = {Yes}, timestamp = {2009-02-08T16:38:57.000+0100}, title = {Evolutionary prisoner's dilemma game on a square lattice}, uri = {papers://B7B184F3-8CE5-4C43-B61C-B7952DE67982/Paper/p4157}, volume = 58, year = 1998 }