Equilibrium: Difference between revisions
It seems that a cabal equilibrium is the same thing as a strong Nash equilibrium; make a change to this effect.
(Adding to Category:Game theory and linking to w:List of types of equilibrium#Game theory) |
(It seems that a cabal equilibrium is the same thing as a strong Nash equilibrium; make a change to this effect.) |
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The word "'''equilibrium'''" refers, among other things, to concepts of game theory. The most well-known equilibrium in game theory is the [[Nash equilibrium]].▼
== Types of equilibria ==
{{wikipedia|List of types of equilibrium#Game theory}}
According to https://en.wikipedia.org/w/index.php?title=List_of_types_of_equilibrium&oldid=1076576484#Game_theory
▲The word "'''equilibrium'''" refers, among other things, to concepts of game theory. The most well-known equilibrium in game theory is the Nash equilibrium.
<blockquote>
* [[Correlated equilibrium]], a solution concept in game theory that is more general than Nash equilibrium
* [[Nash equilibrium]], the basic solution concept in game theory
** [[Quasi-perfect equilibrium]], a refinement of Nash Equilibrium for extensive form games due to Eric van Damme
** [[Sequential equilibrium]], a refinement of Nash Equilibrium for games of incomplete information due to David M. Kreps and Robert Wilson
** [[Perfect Bayesian equilibrium]], a refinement of Nash equilibrium for games of incomplete information that is simpler to use than sequential equilibrium
* [[Symmetric equilibrium]], an equilibrium where all players use the same strategy
* [[Trembling hand perfect equilibrium]] assumes that the players, through a "slip of the hand" or tremble, may choose unintended strategies
** [[Proper equilibrium]] due to Roger B. Myerson, where costly trembles are made with smaller probabilities
</blockquote>
According to some editors on [[electowiki]]:<ref>https://electowiki.org/w/index.php?title=Equilibrium&oldid=11149</ref>:
'''Nash equilibria''' are situations where each player has chosen a strategy and no single player could improve his situation by unilaterally changing strategy while all the other players keep their strategies.▼
<blockquote>
'''Cabal equilibria''' are situations where each player has chosen a strategy and no ''subset of players'' could simultaneously change behaviour (while those outside that subset keep their strategies) in a way that no player in that subset is worse off and at least one in the subset is better off.▼
▲'''Nash equilibria''' are situations where each player has chosen a strategy and no single player could improve
▲'''Cabal equilibria''' or [[w:Strong Nash equilibrium|strong Nash equilibria]] are situations where each player has chosen a strategy and no ''subset of players'' could simultaneously change behaviour (while those outside that subset keep their strategies) in a way that no player in that subset is worse off and at least one in the subset is better off.
All cabal equilibria are Nash equilibria but not vice versa.
</blockquote>
The term "cabal equilibrium" was devised by Peter de Blanc. It is difficult to find online by that name elsewhere.
== Strong equilibrium ==
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[[Category:Voting theory]]
[[Category:Game theory]]
[[Category:Game theory equilibrium concepts|*]]
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