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...

We demonstrate that in simple 2 X 2 games (cumulative) prospect theorypreferences can be evolutionarily stable, i.e. a population of players withprospect theory preferences can not be invaded by more rational players. Thisholds also if probability weighting is applied to the probabilities of...

We study how the framework of classical game theory changes whenthe preferences of the players are described by Prospect Theory (PT)and Cumulative Prospect Theory (CPT) instead of Expected UtilityTheory. Specically, we study the inuence of framing eects and probabilityweighting on the existence...

It is known that there are uncoupled learning heuristics leading to Nash equilibrium in all finite games. Why should players use such learning heuristics and where could they come from? We show that there is no uncoupled learning heuristic leading to Nash equilibrium in all finite games that a...

The alternating offers game due to Rubinstein (1982) had been used by Binmore (1980) and by Binmore et.al. (1986) to provide via its unique subgame perfect equilibrium an approximate non-cooperative support for the Nash bargaining solution of associated cooperative two-person bargaining games....

Many economic problems can be formulated as dynamic games in which strategically interacting agents choose actions that determine the current and future levels of a single capital stock. We study necessary conditions that allow us to characterize Markov perfect Nash equilibria (MPNE) for these...

Outcomes of the shallow lake interest conflict are presented in a number of different contexts: quasi-static and dynamic social planning, and quasi-static one-shot and repeated non-cooperative play. As the underlying dynamics are non-convex, the analysis uses geometrical-numerical methods: the...

We propose a dynamic model of decentralized many-to-one matching in the context of a competitive labor market. Through wage offers and wage demands, firms compete over workers and workers compete over jobs. Firms make hire-and-fire decisions dependent on the wages of their own workers and on the...

The term "rent-dissipation" is prominently used in the theory of rent-seeking and its (game) theoretical vehicle contest theory. While in a pure strategy Nash equilibrium of a contest with finitely many players full rent-dissipation cannot occur, this is not the case if the same contests are...

Attempts to curb illegal activity through regulation gets complicated when agents can adapt to circumvent enforcement. Economic theory suggests that conducting audits on a predictable schedule, and (counter-intuitively) at high frequency, can undermine the effectiveness of audits. We conduct a...