Farsightedness (game theory)

Farsightedness (game theory)

In game-theory, farsightness refers to players’ ability to consider the long-term consequences of their strategies, beyond immediate payoffs, often formalized as farsighted stability where players anticipate future moves and stable outcomes.

In static games, players optimize payoffs based on current information, as in the nash-equilibrium, but farsightedness involves anticipating dynamic or repeated interactions, such as in coalition games like hedonic games where preferences shape long-term alliances. For example, in a repeated prisoner's-dilemma, a farsighted player might cooperate to encourage future cooperation, unlike the one-shot case where defection prevails. Similarly, a player might refuse a small immediate payoff to build a more valuable alliance later.

Applications In evolutionary-game-theory, farsightedness contrasts with myopic adaptation, where strategies adjust based on immediate fitness. A farsighted strategy might aim for an evolutionarily-stable-strategy (ESS) that withstands long-term mutant challenges. In coalition settings, farsighted players assess how current choices affect future stability, rejecting short-term gains for long-term benefits, as seen in hedonic games. Farsighted stability captures this by modeling chains of responses predicting stable configurations.

See also * [[evolutionary-game-theory]] * [[cooperative-game-theory]] * Hedonic games * [[subgame-perfect-equilibrium]] * [[repeated-game]] * [[evolutionarily-stable-strategy]]

References

<references />