The purpose of this paper is to consider the problem of optimal income taxation in the domain of progressive (convex) income tax function. This paper proves the existence of an optimal tax function and that the optimal marginal and average tax rates tend asymptotically to 100 percent as income...

A generalization of assignment games, called partitioning games, is introduced. Given a finite set N of players, there is an a priori given subset pi of coalitions of N and only coalitions in pi play an essential role. Necessary and sufficient conditions for the non-emptiness of the cores of all...

This paper provides an axiomatic model based on an extraneous random device generating objective probabilities for the derivation of expected utilities and subjective probabilities. Four basic axioms fully determine a real-valued utility function and a finitely additive subjective probability...

This paper attempts to define a new solution concept for n-person noncooperative games. The idea of the new concept is based on that of the von Neumann-Morgenstern stable set, or more precisely, rather on their interpretation of it which they call "standards of behavior." This new approach...

It is argued that although the pathological multiplicity of Nash equilibria of super games stated by the folk theorem can be removed by introducing limited observations into super games with a continuum of players, the consideration of super games in terms of the Nash equilibrium concept...

This paper applies the theory of the conventionally stable set to monopolistic and oligopolistic markets. A market model with a finite number of producers and a continuum of buyers is presented and then is formulated as a strategic game in which the producers' strategies are prices and the...

Initially we prove the nonemptiness of the core of an n-person game without side payments called a central assignment game. Next, we provide a market model with indivisible goods but without the transferable utility assumption. Applying the first result to the market model, we prove the...

In this paper we present a model of rental housing market in which houses are treated as indivisible commodities. We provide a recursive equation which determines a competitive equilibrium and argue that we can regard the competitive equilibrium as a representative of the set of all competitive...