Evolutionarily stable set
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game theory Game theory is the study of mathematical models of strategic interactions among rational agents. Myerson, Roger B. (1991). ''Game Theory: Analysis of Conflict,'' Harvard University Press, p.&nbs1 Chapter-preview links, ppvii–xi It has appli ...
an evolutionarily stable set (ES set), sometimes referred to as evolutionary stable sets, is a
set Set, The Set, SET or SETS may refer to: Science, technology, and mathematics Mathematics *Set (mathematics), a collection of elements *Category of sets, the category whose objects and morphisms are sets and total functions, respectively Electro ...
of
strategies Strategy (from Greek στρατηγία ''stratēgia'', "art of troop leader; office of general, command, generalship") is a general plan to achieve one or more long-term or overall goals under conditions of uncertainty. In the sense of the "art ...
, which score equally against each other, each of which would be an
evolutionarily stable strategy An evolutionarily stable strategy (ESS) is a strategy (or set of strategies) that is ''impermeable'' when adopted by a population in adaptation to a specific environment, that is to say it cannot be displaced by an alternative strategy (or set of ...
(ESS) were it not for the other members of the set. ES sets were first defined by Thomas (1985ab).Thomas, B. (1985) On evolutionarily stable sets. ''Journal of Mathematical Biology'' 22: 105–115.


References


Further reading

* Balkenborg, D. & Schlag, K. H. (2001) Evolutionarily stable sets. ''International Journal of Game Theory'' 29:571-595. * Thomas, B. (1985a) On evolutionarily stable sets. ''Journal of Mathematical Biology'' 22:105—115. * Thomas, B. (1985b) Evolutionary stable sets in mixed-strategist models. ''Theoretical Population Biology'' 28:332-341. Evolutionary game theory {{gametheory-stub