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Equilibrium Concepts

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Nash Equilibrium

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A situation in a strategic game where no player can benefit by changing their strategy while the other players keep theirs unchanged. It is reached when each player's strategy is optimal given the strategies of the other players.

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Correlated Equilibrium

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A game theory solution concept that allows players to correlate their strategies through a random signal and then decide on an action. It is reached when no player has the incentive to deviate from the recommended strategy after observing the signal.

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Evolutionarily Stable Strategy (ESS)

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A strategy which, if adopted by a population in a game, cannot be invaded by any alternative strategy. It is reached when a mutant strategy cannot overtake a population.

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Pareto Efficiency

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A state of allocation of resources in which it is impossible to make any one individual better off without making at least one individual worse off. It is reached when no further mutual benefits can be attained by changing strategy.

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Risk-dominant Equilibrium

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An equilibrium in which the strategy secure against the least favorable contingency is chosen. It is reached when players have to coordinate and tend to choose the strategy that has the highest payoff in the event of miscoordination.

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Cournot Equilibrium

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An equilibrium in an oligopoly market where firms choose quantities to produce independently and simultaneously, and no firm can increase profit by changing output alone. It is reached when firms choose their best response functions in quantity selection.

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Dominant Strategy Equilibrium

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An equilibrium where one strategy is better than any other strategy for one player, regardless of how that player's opponents may play. It is reached when at least one player has a dominant strategy.

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Bayesian-Nash Equilibrium

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An extension of Nash Equilibrium for games with incomplete information where players have beliefs about the types of other players. It is reached when players choose strategies that are optimal given their beliefs and the strategies of the others.

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Stackelberg Equilibrium

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A situation in a game where one player (the leader) moves first and the other players (the followers) move sequentially. It is reached when the leader optimizes his strategy, taking into account the followers' reactions.

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Bertrand Equilibrium

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An equilibrium in an oligopoly market where firms compete by setting prices simultaneously, and each firm assumes other firms won’t change prices. It is reached when neither firm can profit by solely changing their price.

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