This paper proves core-equivalence theorems for exchange economies without ordered preferences, defined on locally convex Riesz commodity spaces such that the price space is a lattice. Properness assumptions are borrowed from some recent equilibrium existence results

General Equilibrium Analysis is a systematic exposition of the Walrasian model of economic equilibrium with a finite number of agents, as formalized by Arrow, Debreu and McKenzie at the beginning of the fifties and since then extensively used, worked and studied. Existence and optimality of...

The primary aim of this book is to present notions of convex analysis which constitute the basic underlying structure of argumentation in economic theory and which are common to optimization problems encountered in many applications. The intended readers are graduate students, and specialists of...

We show that if K is a closed cone in a finite dimensional vector space X, then there exists a one-to-one linear operator T : X - C[0,1] such that K is the pull-back cone of the positive cone of C[0,1], i.e., K = T (C+ [0,1]). This problem originated from questions regarding arbitrage free...

Despite the large number of its references, this paper is less a survey than a systematic exposition, in an unifying framework and assuming convexity as well on the consumption side as on the production side, of the different equilibrium concepts elaborated for studying provision of public...

Focussing on their analysis of the optimal public goods provision problem, this paper follows the parallel development of equilibrium models and mechanism design after the accommodation of Samuelson's definition of collective goods to the general equilibrium framework. Both paradigms lead to the...