Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-10-06
J. Stat. Mech. (2009) P07023
Physics
Condensed Matter
Statistical Mechanics
19 pages, 15 figures
Scientific paper
Emergence of cooperation in self-centered individuals has been a major puzzle in the study of evolutionary ethics. Reciprocal altruism is one of explanations put forward and prisoner's dilemma has been a paradigm in this context. Emergence of cooperation was demonstrated for prisoner's dilemma on a lattice with synchronous update [Nature, 359, 826 (1992)]. However, the cooperation disappeared for asynchronous update and the general validity of the conclusions was questioned [PNAS, 90, 7716 (1993)]. Neither synchronous nor asynchronous updates are realistic for natural systems. In this paper, we make a detailed study of more realistic system of semi-synchronous updates where pN agents are updated at every time instant. We observe a transition from all-defector state to a mixed state as a function of p. Despite being transition from absorbing state, our studies indicate that it is a first order transition. Furthermore, we used damage spreading technique to demonstrate that, the transition in this system could be classified as a frozen-chaotic transition.
Gade Prashant M.
Saif Ali M.
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