Showing papers in "Journal of Mathematical Economics in 1988"

TL;DR: In this paper, the authors consider a general equilibrium model of an economy with increasing returns to scale or more general types of nonconvexity in production, where the firms are instructed to set their prices according to general pricing rules which are supposed to have bounded losses.

TL;DR: In this article, the authors consider the problem of fair division in economies where the amount to be divided may vary and show that there is no solution to this problem jointly satisfying the following requirements: (i) Paretooptimality; (ii) resource monotonicity; an increase in the aggregate endowment should benefit all agents; (iii) individual rationality from equal division: all agents should be better off than at equal division.

TL;DR: In this article, the authors present the results obtained in this issue, which are mainly concerned with the following questions: (i) behavior of the producer in the presence of increasing returns, (ii) existence of equilibria in a disaggregated framework, and (iii) marginal cost pricing.

TL;DR: In this article, the authors studied the existence and smoothness of demand functions with an infinite number of commodities and proved that the demand function is always defined for a dense set of prices and convenient incomes.

TL;DR: In this paper, the authors report an extension of the second welfare theorem when both convexity and differentiability assumptions are violated, and consider the general setting of a topological vector space of commodities.

TL;DR: This article provided a result on the existence of equilibria in economies with non-convex production sets, where the principal assumption is a boundary condition and an income hypothesis on a subset of the production sets.

TL;DR: May's conditions characterizing simple majority voting are used to determine what sets of properties force social choice rules to be computable as mentioned in this paper. But these conditions still permit uncomputable rules, and they allow discussion of degrees of computational complexity within the class of computable rules.

TL;DR: In this paper, it is shown that if firms adopt price setting behaviors then, under certain assumptions, there exists an equilibrium even in an economy with non-convex technologies.

TL;DR: In this article, the authors propose a concept of competitive equilibrium at which producers are quantity-takers, which combines voluntary trading with a condition of minimality on output prices, and prove its existence without imposing convexity assumption on either individual or aggregate production sets.

TL;DR: Does there exist a direct communication scheme yielding the same equilibrium payoffs?

TL;DR: In this paper, the price supportability of Pareto optima and existence of competitive equilibrium are established when consumption sets as well as preferences are uniformly proper consumption sets can be different from the non-negative cone.

TL;DR: In this paper, the fundamental theorems of welfare economics in a very general setting without assuming that the positive cone has a non-empty interior or preferences are uniformly proper are presented.

TL;DR: In this article, it was shown that the value of a non-atomic vector measure game need not be a linear combination of the measures μ 1,…,μ n (this is in contrast to all the values known to date).

TL;DR: In this paper, the authors show that marginal (cost) pricing equilibria need not exist without the survival assumption and show that without survival assumption, marginal equilibrices do not exist.

TL;DR: In this paper, the existence results of Dierker et al. and Kamiya (1988) were deduced from the main theorem of Bonnisseau and Cornet (1988).

TL;DR: In this paper, it was shown that the value of a non-atomic vector measure game need not be a linear combination of the measures of a vector of non-negative measures.

TL;DR: In this article, the existence of a quasi-equilibrium when preferences are Mackey continuous is shown. But the existence is not proved for the case where preferences are continuous. And the relationship between equilibria and optima in the model is not explored.

TL;DR: In this article, it was shown that the set of decision makers, who must choose from X, includes non-expected utility decision makers who are risk averse in some weaker notions.

TL;DR: In this article, the authors give a necessary and sufficient condition on production sets under which average cost pricing is compatible with voluntary trading, and show that this condition defines a class of production sets whose properties are related to supportable cost functions and Aumann-Shapley average cost prices.

TL;DR: In this paper, a generalization of convexity called projective-convexity is introduced, which extends models for consumer preference and consumer budgeting and proves a separation theorem for projectively convex sets.

TL;DR: In this paper, a closed set Y in Rl such that for all y in the boundary of Y, Clarke's normal cone to Y at y is equal to Rl+ was constructed.

TL;DR: In this paper, the authors study an economy in which prices for some commodities are linked to other flexible prices and show the existence of a non-trivial unemployment equilibrium which entails a reasonable relationship between equilibrium prices and unemployment probabilities.

TL;DR: In this paper, a market game derived from an l-glove market with population measure μ is considered and a complete characterization of the range of the μ-values of v (where μ varies) is given.

TL;DR: In this article, it was shown that the set of attainable production plans is homeomorphic to the closed unit ball of R ln (resp. R ( l − 1) n ).

TL;DR: In this paper, the authors consider an economy with two sectors, the first consisting of competitively behaving consumers and producers; the second, noncompetitive, sector, the P-sector, consists of firms (P- firms) producing commodities (Pgoods) that are not produced in the competitive sector, and they receive their gross output levels and the market prices of their inputs as decision parameters.

TL;DR: In this article, it is shown that the set of non-manipulated equilibria need not be arc-connected, and that they can be obtained by advantageous reallocations of coalition's endowments.