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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 Broom
A 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.

History

Publication status

  • Published

Journal

Journal of Mathematical Biology

ISSN

0303-6812

Publisher

Springer Verlag

Issue

5

Volume

40

Page range

406-412

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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