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Game theory and physics
Abstract
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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Moderate noise levels in social interactions are commonly observed in the real world.
“this condition is the presence of moderate noise levels in social interactions, which are commonly observed in the real world 82.”
From Cooperation without punishment (2023) · cites this paper as [82]
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Research works printed but not linked: 43
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Reputation-based partner choice promotes cooperation in social networks
Fu, F., Hauert, C., Nowak, M. A., & Wang, L. (2008) · Physical Review E · doi:10.1103/physreve.78.026117 · Cited by 682
Self-citationRepeated games and direct reciprocity under active linking
Pacheco, J. M., Traulsen, A., Ohtsuki, H., & Nowak, M. A. (2008) · Journal of Theoretical Biology · doi:10.1016/j.jtbi.2007.10.040 · Cited by 162
Cooperation without punishment
Battu, B., & Rahwan, T. (2023) · Scientific Reports · doi:10.1038/s41598-023-28372-y · Cited by 12
Metadata
- Authors
- Hauert, C., & Szabó, G.
- Affiliations
- Harvard University (US)
- Institute for Technical Physics and Materials Science (HU)
- Venue
- American Journal of Physics
- Published
- 2005-04-13
- Volume
- 73
- Issue
- 5
- Pages
- 405-414
- ISSN
- 0002-9505 (ISSN-L)
- 1943-2909
- OpenAlex
- W1982151940
- Cited by
- 511
- References
- 0
- Citations by year
- 2026: 22 · 2025: 26 · 2024: 28 · 2023: 24 · 2022: 15 · 2021: 23 · 2020: 24 · 2019: 24 · 2018: 28 · 2017: 19 · 2016: 26 · 2015: 25 · 2014: 15 · 2013: 21 · 2012: 38
- FWCI
- 81.38
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- American Journal of Physics (publishedVersion)
- Topics
- Social Sciences › Sociology and Political Science › Evolutionary Game Theory and Cooperation
- Physical Sciences › Mathematics › Applied Mathematics › Mathematical and Theoretical Epidemiology and Ecology Models
- Social Sciences › Decision Sciences › Management Science and Operations Research › Game Theory and Applications
- Keywords
- evolutionary game theory, structured populations, evolution of cooperation, prisoner's dilemma, directed percolation, critical phase transition, small-world networks, random regular graphs, behavioral strategies, behavioral ecology
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