Sources
Help build the largest human-edited directory on the web.
Submit a site - Become an editor
Wikipedia. Licensed under the GNU Free Documentation License.
Are you an expert in this subject? Join the discussion and share your knowledge at Wikipedia.org.
Stochastically stable equilibrium
From Wikipedia, the free encyclopedia
| Stochastically stable equilibrium | |
|---|---|
| A solution concept in game theory | |
| Relationships | |
| Subset of: | Evolutionarily stable state |
| Significance | |
| Proposed by: | Dean Foster, Peyton Young |
| Used for: | Evolutionary game theory |
| Example: | Stag hunt |
In game theory, a stochastically stable equilibrium is a refinement of the evolutionarily stable state in evolutionary game theory, proposed by Dean Foster and Peyton Young. An evolutionary stable state S is also stochastically stable if under vanishing noise the probability that the population is in the vicinity of state S does not go to zero.
The concept is extensively used in models of learning in populations, where "noise" is used to model experimentation or replacement of unsuccessful players with new players (random mutation). Over time, as the need for experimentation dies down or the population becomes stable, the population will coverge towards a subset of evolutionarily stable states. Foster and Peyton have shown that this subset is the set of states with the highest potential.
- Dean P. Foster and H. Peyton Young: "Stochastic Evolutionary Game Dynamics", Theoretical Population Biology 38(2), pp. 219–232(1990) Abstract
 |
This game theory-related article is a stub. You can help Wikipedia by expanding it. |