Spatial evolutionary prisoner's dilemma game with three strategies and external constraints

G. Szabó, Tibor Antal, Péter Szabó, Michel Droz

Research output: Contribution to journalArticle

79 Citations (Scopus)

Abstract

The emergency of mutual cooperation is analyzed in a spatially extended evolutionary prisoner's dilemma game. The players are located on the sites of cubic lattices for dimensions d = 1, 2, and 3. Three neighboring strategies such as cooperation, defection, and tit for tat, can be adopted by the players in the absence and presence of externally enforced cooperation. The external constraint imposes that the players always cooperate with probability p. The stationary state phase diagram is computed by both using generalized mean-field approximations and Monte Carlo simulations.

Original languageEnglish
Pages (from-to)1095-1103
Number of pages9
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume62
Issue number1 B
DOIs
Publication statusPublished - Jul 2000

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Prisoner's Dilemma Game
Evolutionary Game
games
Mean-field Approximation
emergencies
cubic lattices
Stationary States
Emergency
Phase Diagram
Monte Carlo Simulation
phase diagrams
approximation
Strategy
simulation

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Spatial evolutionary prisoner's dilemma game with three strategies and external constraints. / Szabó, G.; Antal, Tibor; Szabó, Péter; Droz, Michel.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 62, No. 1 B, 07.2000, p. 1095-1103.

Research output: Contribution to journalArticle

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