In this paper we will solve some linear programming problems by solving systems of differential equations using game theory. The linear programming problem must be a classical constraints problem or a classical menu problem, i.e. a maximization/minimization problem in the canonical form with all...

In the paper, we re-investigate the long run behavior of an adaptive learning process driven by the stochastic replicator dynamics developed by Fudenberg and Harris (1992). It is demonstrated that the Nash equilibrium will be the robust limit of the adaptive learning process as long as it is...

In this paper, infinitely repeated prisoner's dilemma game as a benchmark being used to build a new model as the payoff matrix of an evolutionary game dynamics, with the comparative study of game performances between the behavior- pattern “tit for tat” and the behavior-pattern “always...

We study an example of infinitely repeated games in which symmetric duopolistic firms produce experience goods. After consuming the products, short-run consumers only observe imperfect public information about product quality. We characterize perfect public equilibrium payoff set E(δ) of firms...

In this paper, infinitely repeated prisoner's dilemma game as a benchmark being used to build a new model as the payoff matrix of an evolutionary game dynamics, with the comparative study of game performances between the behavior- pattern “tit for tat” and the behavior-pattern “always...

While folk theorems for dynamic renewable common pool resource games sustain cooperation as an equilibrium, the possibility of reverting to violence to appropriate the resource destroys the incentives to cooperate, because of the expectation of conflict when resources are sufficiently depleted....

Neuroeconomics focuses on brain imaging studies mapping neural responses to choice behavior. Economic theory is concerned with choice behavior but it is silent on neural activities. We present a game theoretic model in which players are endowed with an additional structure - a simple "nervous...

This paper studies the question of how well we understand segregation. The point of departure is Schelling’s spatial proximity model in one dimension. By introducing noise I show that segregation emerges as the long run prediction of neighborhood evolution, both when residents have...

This paper proposes an axiomatic approach to study two-player infinitely repeated games. A solution is a correspondence that maps the set of stage games into the set of infinite sequences of action profiles. We suggest that a solution should satisfy two simple axioms: individual rationality and...

n this paper we propose a pluralistic and multi-dimensional ap- proach to cooperation. Specifically, we seek to show that, in certain settings, less unconditional forms of cooperation may be combined with more gratuitous ones. Starting with the prisoner’s dilemma game, the evolution of...