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THE SPATIAL DILEMMAS OF EVOLUTION
Abstract
Evolutionary game theory can be extended to include spatial dimensions. The individual players are placed in a two-dimensional spatial array. In each round every individual “plays the game” with its immediate neighbours. After this, each site is occupied by its original owner or by one of the neighbours, depending on who scored the highest payoff. These rules specify a deterministic cellular automaton. We find that spatial effects can change the outcome of frequency dependent selection. Strategies may coexist that would not coexist in homogeneous populations. Spatial games have interesting mathematical properties. There are static or chaotically changing patterns. For symmetrical starting conditions we find “dynamical fractals” and “evolutionary kaleidoscopes.” There is a new world to be explored.
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Cited by
Networks, Dynamics, and the Small‐World Phenomenon
Watts, D. J. (1999) · American Journal of Sociology · doi:10.1086/210318 · Cited by 1,510
Models of cooperation based on the Prisoner's Dilemma and the Snowdrift game
Doebeli, M., & Hauert, C. (2005) · Ecology Letters · doi:10.1111/j.1461-0248.2005.00773.x · Cited by 871
Evolution of the Social Contract
Skyrms, B. (2014) · doi:10.1017/cbo9781139924825 · Cited by 743
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-citationUniversal scaling for the dilemma strength in evolutionary games
Wang, Z., Kokubo, S., Jusup, M., & Tanimoto, J. (2015) · Physics of Life Reviews · doi:10.1016/j.plrev.2015.04.033 · Cited by 586
Metadata
- Authors
- NOWAK, M. A., & MAY, R. M.
- Venue
- International Journal of Bifurcation and Chaos
- Publisher
- World Scientific Pub Co Pte Lt
- Published
- 1993-02
- Volume
- 03
- Issue
- 01
- Pages
- 35-78
- ISSN
- 0218-1274 (ISSN-L)
- 1793-6551
- OpenAlex
- W2061357247
- Cited by
- 719
- References
- 0
- FWCI
- 49.90
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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