Toward the late 1990s, several research groups independently began developing new, related theories in mathematical finance. These theories did away with the standard stochastic geometric diffusion "Samuelson" market model (also known as the Black-Scholes model because it is used in that most...

We present two new notions of evolutionary stability, the trulyevolutionarily stable state (TESS) and the generalized evolutionarilystable equilibrium (GESE). The GESE generalizes the evolutionar-ily stable equilibrium (ESE) of Joosten [1996]. An ESE attracts allnearby trajectories...

Agents interacting on a body of water choose between technologiesto catch …sh. One is harmless to the resource, as it allows full recovery;the other yields high immediate catches, but low(er) future catches.Strategic interaction in one ‘objective’resource game may induceseveral ‘subjective’...

We introduce a stochastic game in which transition probabilitiesdepend on the history of the play, i.e., the players’past action choices.To solve this new type of game under the limiting average reward crite-rion, we determine the set of jointly-convergent pure-strategy rewardswhich can be...