Evolutionary game theory is designed to capture the essentials of the characteristic interactions among individuals. Its most prominent application is the quest for the origins and evolution of cooperation. The effects of population structures on the performance of behavioral strategies became apparent only in recent years and marks the advent of an intriguing link between apparently unrelated disciplines. Evolutionary game theory in structured populations reveals critical phase transitions that fall into the universality class of directed percolation on square lattices and mean-field-type transitions on regular small world networks and random regular graphs. We employ the prisoner’s dilemma to discuss new insights gained in behavioral ecology using methods from physics.
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May 01 2005
Game theory and physics Available to Purchase
Christoph Hauert;
Christoph Hauert
Departments of Mathematics and Zoology, University of British Columbia, 6270 University Boulevard, Vancouver, British Columbia, Canada, V6T 1Z4
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György Szabó
György Szabó
Research Institute for Technical Physics and Materials Science, P. O. Box 49, H-1525 Budapest, Hungary
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Christoph Hauert
Departments of Mathematics and Zoology, University of British Columbia, 6270 University Boulevard, Vancouver, British Columbia, Canada, V6T 1Z4
György Szabó
Research Institute for Technical Physics and Materials Science, P. O. Box 49, H-1525 Budapest, Hungary
Am. J. Phys. 73, 405–414 (2005)
Article history
Received:
March 25 2004
Accepted:
November 19 2004
Citation
Christoph Hauert, György Szabó; Game theory and physics. Am. J. Phys. 1 May 2005; 73 (5): 405–414. https://doi.org/10.1119/1.1848514
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