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Showing papers in "Journal of Mathematical Economics in 1978"



Journal ArticleDOI
TL;DR: In this article, the authors define matrices with quasi-strictlydominant diagonal blocks or quasi-dominant diagonal blocks on the basis of general matrix norms including the spectral norm and derive several theorems on such matrices.

39 citations


Journal ArticleDOI
TL;DR: In this paper, the authors studied the number of fixed price equilibria and their continuity with respect to the price system in an exchange economy and showed that the graph of the equilibrium correspondence, when prices and initial endowments vary, is a piecewise continuously differentiable manifold.

30 citations


Journal ArticleDOI
TL;DR: Sondermann and Neuefeind as mentioned in this paper formalized an economy with a continuum of traders as follows: there is given a metric space d of consumer characteristics; d will consist, for example, of preferences-endowments pairs or utility functions pair or utility pairs pairs; by using utility functions we are free to assume when necessary that utility functions possess a C-type metric or even a c' linear structure.

26 citations



Journal ArticleDOI
TL;DR: In this paper, the authors derive general results on the asymptotic behavior of two dynamic processes that are of interest in the theory of intertemporal resource allocation, related to the turnpike theory of optimal allocation.

18 citations


Journal ArticleDOI
Yves Balasko1
TL;DR: In this article, Thom's envelope theory is used to study the qualitative properties of the Debreu mapping, i.e., the restriction of the projection (p, ω )↦ ω to the equilibrium manifold.

15 citations





Journal ArticleDOI
TL;DR: In this article, necessary and sufficient conditions for optimal saving in a stochastic neo-classical one-good world with discrete time are derived for optimal savings in a one-world setting.

Journal ArticleDOI
TL;DR: In this paper, the authors consider a set of utility functions defined on P, the closure of the positive orthant of Rl that satisfy the differentiable monotonicity and differentiable convexity conditions and show that the demand function derived from such a utility function is piecewise smooth.

Journal ArticleDOI
TL;DR: In this article, the revealed preference question was studied in the simple case of a two-element (H and T ) state space, and it was shown that the possible revelations of P T / P H are precisely those of the form P T/P H e ∪ K k = 1 (γ k, δ k ) for some algebraic numbers γ k,δ k.

Journal ArticleDOI
TL;DR: In this paper, it is proved that all equilibrium states are characterised by the vanishing of the Jacobian of the payoff functions of the market game, and that under suitable initial conditions the process is a contraction mapping, implying convergence to equilibrium.

Journal ArticleDOI
TL;DR: In this article, the boundary behavior of supply functions of producers who maximize profit on a convex set was studied and sufficient conditions for a weaker approximability condition of some points in the graph of the normal cone correspondence were given.

Book ChapterDOI
TL;DR: In this paper, Arrow and Hahn [3] formally considered a general equilibrium model for these types of consumers and proved the existence of a general equilibria for these consumers.


Journal ArticleDOI
TL;DR: This article showed that the no critical point hypothesis can be dropped and the class of regular economies, for which the equilibria are locally continuous functions of the parameters of the economy, can be extended.



Journal ArticleDOI
TL;DR: In this paper, the state of an economy is described by a production plan and a distribution on the product space of agents' characteristics and the commodity space, and an ordering on the set of states is introduced and after a study of the structure of this ordering it is shown that the close relationship between price equilibria and optimal states remains true in this framework.