Evolutionarily stable set
Encyclopedia
In game theory
an evolutionarily stable set (ES set), sometimes referred to as evolutionary stable sets, is a set of strategies
, which score equally against each other, each of which would be an evolutionarily stable strategy
(ESS) were it not for the other members of the set. ES sets were first defined by Thomas (1985ab)
Game theory
Game theory is a mathematical method for analyzing calculated circumstances, such as in games, where a person’s success is based upon the choices of others...
an evolutionarily stable set (ES set), sometimes referred to as evolutionary stable sets, is a set of strategies
Strategy (game theory)
In game theory, a player's strategy in a game is a complete plan of action for whatever situation might arise; this fully determines the player's behaviour...
, which score equally against each other, each of which would be an evolutionarily stable strategy
Evolutionarily stable strategy
In game theory and behavioural ecology, an evolutionarily stable strategy , which is sometimes also called an evolutionary stable strategy, is a strategy which, if adopted by a population of players, cannot be invaded by any alternative strategy that is initially rare. An ESS is an equilibrium...
(ESS) were it not for the other members of the set. ES sets were first defined by Thomas (1985ab)
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.