Non-cooperative games | Game theory equilibrium concepts

Mertens-stable equilibrium

In game theory, Mertens stability is a solution concept used to predict the outcome of a non-cooperative game. A tentative definition of stability was proposed by Elon Kohlberg and Jean-François Mertens for games with finite numbers of players and strategies. Later, Mertens proposed a stronger definition that was elaborated further by Srihari Govindan and Mertens. This solution concept is now called Mertens stability, or just stability. Like other refinements of Nash equilibriumused in game theory stability selects subsets of the set of Nash equilibria that have desirable properties. Stability invokes stronger criteria than other refinements, and thereby ensures that more desirable properties are satisfied. (Wikipedia).

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Nash equilibrium | Solution concept | Cohomology | Sequential equilibrium | Backward induction | Extensive-form game | Closure (topology) | Admissible decision rule | Homotopy | Subgame perfect equilibrium | Game theory | Quasi-perfect equilibrium | Strategic dominance | Proper equilibrium | Čech cohomology | Boundary (topology) | Normal-form game