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...

We introduce a new solution concept for games in extensive form with perfect information: the valuation equilibrium. The moves of each player are partitioned into similarity classes. A valuation of the player is a real valued function on the set of her similarity classes. At each node a player...

This paper analyses the structure of the Internet marketplace and the business relationships of key players involved in network services provision. A brief overview of existing pricing policies and research work in this area is presented and some new issues are introduced. We believe that the...

This paper provides an evolutionary theory of reciprocity as an aspect of preference interdependence. It is shown that reciprocal preferences, which place negative weight on the payoffs of materialists and positive weight on the payoffs of sufficiently altruistic individuals can invade a...

It is known that every continuous time fictitious play process approaches equilibrium in every nondegenerate 2x2 and 2x3 game, and it has been conjectured that convergence to equilibrium holds generally for 2xn games. We give a simple geometric proof of this.

This paper consider the dynamic evolution of algorithmic (recursive) learning rules in a normal form game. It is shown that the system - the population frequencies - is globally stable for any arbitrary N-player normal form game, if the evolutionary process is algorithmic and the `birth process'...

We study a model in which two perfectly informed experts offer advice to a decision maker whose actions affect the welfare of all. Experts are biased and thus may wish to pull the decision maker in different directions and to different degrees. When the decision maker consults only a single...

The purpose of this paper is to illustrate how value iteration can be used in a zero-sum game to obtain structural results on the optimal (equilibrium) value and policy. This is done through the following example. We consider the problem of dynamic flow control of arriving customers into a...

Current analysis addresses an apparently critical issue of wealth circulation in the society. In the form of three persons game, we put the welfare-related burden on taxpayers. The Negotiator No.1 stands up for citizens’ legal and moral right to social services. The Negotiator No.2 proceeds...