Symmetric equilibrium

Symmetric equilibrium

In game theory, a symmetric equilibrium is an equilibrium where both players use the same strategy (possibly mixed) in the equilibrium. In the Prisoner's Dilemma game pictured to the right, the only Nash equilibrium is ("D", "D"). Since both players use the same strategy, the equilibrium is symmetric.

Symmetric equilibria have important properties. Only symmetric equilibria can be evolutionarily stable states in single population models.

ee also

*Symmetric game


Wikimedia Foundation. 2010.

Игры ⚽ Нужно решить контрольную?

Look at other dictionaries:

  • Equilibrium — is the condition of a system in which competing influences are balanced and it may refer to:cienceBiology* Equilibrioception, the sense of balance present in humans and animals * Homeostasis, the ability of an open system, especially living… …   Wikipedia

  • Symmetric game — In game theory, a symmetric game is a game where the payoffs for playing a particular strategy depend only on the other strategies employed, not on who is playing them. If one can change the identities of the players without changing the payoff… …   Wikipedia

  • Determination of equilibrium constants — Equilibrium constants are determined in order to quantify chemical equilibria. When an equilibrium constant is expressed as a concentration quotient, it is implied that the activity quotient is constant. In order for this assumption to be valid… …   Wikipedia

  • Nash equilibrium — A solution concept in game theory Relationships Subset of Rationalizability, Epsilon equilibrium, Correlated equilibrium Superset of Evolutionarily stable strategy …   Wikipedia

  • Markov perfect equilibrium — A solution concept in game theory Relationships Subset of Subgame perfect equilibrium Significance Proposed by …   Wikipedia

  • Non-equilibrium thermodynamics — Thermodynamics …   Wikipedia

  • Correlated equilibrium — A solution concept in game theory Relationships Superset of Nash equilibrium Significance Proposed by …   Wikipedia

  • Manipulated Nash equilibrium — MAPNASH A solution concept in game theory Relationships Subset of Nash equilibrium, Subgame perfect equilibrium Significance …   Wikipedia

  • Epsilon-equilibrium — A solution concept in game theory Relationships Superset of Nash Equilibrium Significance Used for …   Wikipedia

  • Coalition-proof Nash equilibrium — The concept of coalition proof Nash equilibrium applies to certain noncooperative environments in which players can freely discuss their strategies but cannot make binding commitments [1]. It emphasizes the immunization to deviations that are… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”