We show in this paper that none of the existing static evolutionary stability concepts (ESS, CSS, uninvadability, NIS) is sufficient to guarantee dynamic stability in the weak topology with respect to standard evolutionary dynamics if the strategy space is continuous. We propose a new concept,...

The theory of melioration, originally formulated for individual decision-making contexts, is formally extended to a game theoretic framework. This paper proves the existence of a distribution that is a melioration strategy on the part of all players. Further, the question of stability of such a...

In mechanism design problems under incomplete information, it is generally difficult to find decision problems that are first best implementable. A decision problem under incomplete information is first best implementable if there exists a mechanism that extracts the private information and...

Two subjects have to repeatedly choose between two alternatives, A and B, where payoffs of an A or B-choice depend on the choices made by both players in a number of previous choices. Locally, alternative A gives always more payoff than alternative B. However, in terms of overall payoffs...