Cooperative and noncooperative games have no representation of players's basis utilities. Basis utility is the natural reference point on a player's utility scale that enables the determination the marginal utility of any payoff or allocation. A player's basis utility can be determined by an...

Shapley proved the existence of an ordinal, symmetric and efficient solution for three-player bargaining problems. Ordinality refers to the covariance of the solution with respect to order-preserving transformations of utilities. The construction of this solution is based on a special feature of...

Due to the externalities, in normal form games a deviation changes the payoff of all players inducing a retaliation by the remaining or residual players. The stability of an outcome depends on the expectations potential deviators have about this reaction, but so far no satisfactory theory has...

In John Nash’s proofs for the existence of (Nash) equilibria based on Brouwer’s theorem, an iteration mapping is used. A continuous— time analogue of the same mapping has been studied even earlier by Brown and von Neumann. This differential equation has recently been suggested as a...

We identify and investigate the basic `hold-up' problem which arises whenever each party to a contingent contract has to pay some ex-ante cost for the contract to become feasible. We then proceed to show that, under plausible circumstances, a `contractual solution' to this hold-up problem is not...

We investigate the role that self-control problems modeled as time-inconsistent, present-biased preferences and a person's awareness of those problems might play in leading people to develop and maintain harmful addictions. Present-biased preferences create a tendency to over-consume addictive...

The study of evolutionary dynamics was so far mainly restricted to finite strategy spaces. In this paper we show that this restriction is in most cases unnecessary. We give a mild condition under which the continuous time replicator dynamics are well defined for infinite strategy spaces....

This paper builds a model of fragmented duopsony in backward agriculture following Basu and Bell (1991) in which the purchasers (traders) have captive markets each but compete in a contested market. We focus on the formation of captive markets through trader-farmer interlinkage in the form of...

In this paper we use a non cooperative equilibrium selection approach as a notion of stability in link formation games. Specifically, we follow the global games approach first introduced by Carlsson and van Damme (1993), to study the robustness of the set of Nash equilibria for a class of link...

We propose a quantum-like description of markets and economics. The approach has roots in the recently developed quantum game theory. Quantum Zeno paradoxes and noncomutative quantum mecanics are also discussed.