1. Continuously stable strategies, neighborhood superiority and two-player games with continuous strategy space.
- Author
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Cressman, Ross
- Subjects
- *
GAME theory , *DECISION making , *GAMES , *RISK , *SOCIAL dominance , *NEIGHBORHOODS , *POPULATION , *DECISION theory , *ECONOMIC competition - Abstract
The continuously stable strategy (CSS) concept, originally developed as an intuitive static condition to predict the dynamic stability of a monomorphic population, is shown to be closely related to classical game-theoretic dominance criteria when applied to continuous strategy spaces. Specifically, for symmetric and non symmetric two-player games, a CSS in the interior of the continuous strategy space is equivalent to neighborhood half-superiority which, for a symmetric game, is connected to the half-dominance and/or risk dominance concepts. For non symmetric games where both players have a one-dimensional continuous strategy space, an interior CSS is shown to be given by a local version of dominance solvability (called neighborhood dominance solvable). Finally, the CSS and half-superiority concepts are applied to points in the bargaining set of Nash bargaining problems. [ABSTRACT FROM AUTHOR]
- Published
- 2009
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