We present two new notions of evolutionary stability, the truly evolutionarily stable state (TESS) and the generalized evolutionarily stable equilibrium (GESE). The GESE generalizes the evolutionarily stable equilibrium (ESE) of Joosten [1996]. An ESE attracts all nearby trajectories...

We show that the playing sequence-the order in which players update their actions-is a crucial determinant of whether the best-response dynamic converges to a Nash equilibrium. Specifically, we analyze the probability that the best-response dynamic converges to a pure Nash equilibrium in random...

We show that the playing sequence-the order in which players update their actions-is a crucial determinant of whether the best-response dynamic converges to a Nash equilibrium. Specifically, we analyze the probability that the best-response dynamic converges to a pure Nash equilibrium in random...

We show that the playing sequence--the order in which players update their actions--is a crucial determinant of whether the best-response dynamic converges to a Nash equilibrium. Specifically, we analyze the probability that the best-response dynamic converges to a pure Nash equilibrium in...

We define the axioms of quantum game theory and show that classical, Nashian, game theory is a special case of quantum game theory. In our more general framework, we prove the insufficiency of the von Neumann Morgenstern utility, because it is not uniquely defined. Relating utility to the time...

In this work, we develop an equilibrium model for price formation of securities in a market composed of two populations of different types: the first one consists of cooperative agents, while the other one consists of non-cooperative agents. The trading of every cooperative member is assumed to...

Using the formalism of quantum theory we prove that the von Neumann entropy satisfies the conditions of the von Neumann--Morgenstern utility. We extend the entropy observable using the ensemble of statistical physics to derive a number of important functional relationships. The ensemble is then...

Contrary to the customary view that the celebrated Nash-equilibrium theorem in Game Theory is paradigmatic for non-cooperative games, it is shown that, in fact, it is essentially based on a particularly strong cooperation assumption. Furthermore, in practice, this cooperation assumption is...

I study two-player undiscounted repeated games with imperfect private monitoring. When strategies are restricted to those implementable by nite automata, fewer equilibrium outcomes are possible. When only two-state automata are allowed, a simple strategy, "Win-Stay, Lose-Shift," leads to...

Local interactions refer to social and economic phenomena where individuals' choices are influenced by the choices of others who are `close' to them socially or geographically. This represents a fairly accurate picture of human experience. Furthermore, since local interactions imply particular...