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Patterns of evolutionarily stable strategies: the maximal pattern conjecture revisited
journal contribution
posted on 2023-06-08, 06:27 authored by Mark BroomA conflict is defined by a set of pure strategies {1, …, n and a payoff matrix, and may have many evolutionarily stable strategies (ESSs). A collection of subsets of the set of pure strategies is called a pattern. If there is an n×n matrix which has ESSs whose supports match those of the pattern, then that pattern is said to be attainable. Much of the work on patterns of ESSs relied upon an unproved conjecture. Subject to some relaxation of the definition of attainability, this conjecture is proved.
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Publication status
- Published
Journal
Journal of Mathematical BiologyISSN
0303-6812Publisher
Springer VerlagExternal DOI
Issue
5Volume
40Page range
406-412Department affiliated with
- Mathematics Publications
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- No
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- Yes
Legacy Posted Date
2012-02-06Usage metrics
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