In this paper we introduce basic notions of new economic model where preference relations on commodities set are represented by a group action on Euclidean space instead of utility function. Conditions that ensure the existence of individual demand functions and a general equilibrium in the...

This paper gives a proof of the existence of general equilibrium without the use of a fixed point theorem. Unlike other results of this type, the conditions we use do not imply that the set of equilibrium prices is convex. We use an assumption on the excess demand correspondence that is related...

A survey of the results relating to the application of gross substitutability in economic equilibrium theory. The topics considered include existence and uniqueness of equilibrium, comparative statics, coalition stability, and stability of price-adjustment tatonnement processes. The main...

We consider a game with a continuum of players where at most a finite number of them are atomic. Objective functions are continuous and admissible strategies may depend on the actions chosen by atomic players and on aggregate information about the actions chosen by non-atomic players. When...

We consider a game with a continuum of players where only a finite number of them are atomic. Objective functions and admissible strategies may depend on the actions chosen by atomic players and on aggregate information about the actions chosen by non-atomic players. Only atomic players are...

This paper provides a price equilibrium existence theorem in economies where commodities may be indivisible and aggregate excess demand functions may be discontinuous. We introduce a very weak notion of continuity, called recursive transfer lower semi-continuity, which is weaker than transfer...

This paper studies equilibria of second price auctions in independent private value envi- ronments with different participation costs. Two types of equilibria are identified: monotonic equilibria in which a bidder with a lower participation cost results in a lower cutoff for sub- mitting a bid,...

This paper studies equilibria of second price auctions when values and participation costs are both privation information and are drawn from general distribution functions. We consider the existence and uniqueness of equilibrium. It is shown that there always exists an equilibrium for this...

Psychological states side by side with the bounded rational expectations among social agents contributes to the pattern of consumptions in economic system. One of the psychological states are the envy – a tendency to emulate any gaps with other agents’ properties. The evolutionary game...

The main purpose of this paper is to remark that any definable continuous path linking two regular equilibria in a regular O-minimal equilibrium manifold intersects a finite number of definable connected components locally determined. We apply the cell decomposition theorem to decompose the...