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Social choice and the closed convergence topology

Chichilnisky, Graciela - Volkswirtschaftliche Fakultät, … - 1990

This paper revisits the aggregation theorem of Chichilnisky (1980), replacing the original smooth topology by the … closed convergence topology and responding to several comments (N. Baigent (1984, 1985, 1987, 1989), N. Baigent and P. Huang … both the closed convergence topology and the smooth topology. Because of their contractibility, these spaces satisfy the …

Persistent link: https://www.econbiz.de/10005836223

Properties of critical points and operators in economics

Chichilnisky, Graciela; Kalman, P.J. - Volkswirtschaftliche Fakultät, … - 1977

The study of the local characteristics of equilibrium positions generated by the constrained maximization of some criterion functions (such as utility, profit, cost, etc.) goes back to Antonelli's paper [2] of 1886. Certain local properties have been proved to be particularly fruitful for...

Persistent link: https://www.econbiz.de/10005617056

Group Actions on Spin Manifolds

Chichilnisky, Graciela - Volkswirtschaftliche Fakultät, … - 1972

A generalization of the theorem of V. Bargmann concerning unitary and ray representations is obtained and is applied to the general problem of lifting group actions associated to the extension of structure of a bundle. In particular this is applied to the Poincare group 'P' of a Lorentz manifold...

Persistent link: https://www.econbiz.de/10005619514

Stress Testing Linkages between Banks in the Netherlands

van Lelyveld, Iman; Liedorp, Franka; Pröpper, Marc - Volkswirtschaftliche Fakultät, … - 2008

Assessing the stability of the financial sector is becoming more common in many countries. This paper presents two useful approaches, applied to the Netherlands. First we discuss the results of a contagion analysis of the Dutch interbank market. We use various ways to measure linkages between...

Persistent link: https://www.econbiz.de/10005621311

Topoloy and economics: the contributions of S. Smale

Chichilnisky, Graciela - Volkswirtschaftliche Fakultät, … - 1993

], and of non-cooperative equilibrium in game theory as formalized by Nash (1950). This article aim to show that topology is …

Persistent link: https://www.econbiz.de/10005621494

Nonlinear functional analysis and optimal economic growth

Chichilnisky, Graciela - Volkswirtschaftliche Fakultät, … - 1977

A problem of existence and characterization of solutions of optimal growth models in many sector economies is studied The social utility to be optimized is a generalized form of a preference depending additively on consumption at the different dates of the planning period. The optimization b...

Persistent link: https://www.econbiz.de/10005621632

Continuous representation of preference

Chichilnisky, Graciela - Volkswirtschaftliche Fakultät, … - 1980

In this paper we study a utility representation for preferences, and we price its continuity, using a topology for … existence of an E-threshold is also not required here. These results are possible due to properties of the order topology … introduced in Chichilnisky (1977). As we shall now discuss, this topology has quite desirable features for the study of …

Persistent link: https://www.econbiz.de/10005621995

Social choice and the topology of spaces of preferences

Chichilnisky, Graciela - Volkswirtschaftliche Fakultät, … - 1980

Social choice theory is concerned with providing a rationale for social decisions when individuals have diverse opinions. Voting is an obvious way in which societies aggregate individual preferences to obtain social ones. The procedure of voting registers individual comparisons between...

Persistent link: https://www.econbiz.de/10005622080

Topological complexity of manifolds of preferences

Chichilnisky, Graciela - Volkswirtschaftliche Fakultät, … - 1986

The problem of endowing preferences with manifold structures emerged from discussions with Gerard Debreu in 1975 . Time has shown that such structures can be useful in understanding the behavior of economic systems . In Chichilnisky (1976) spaces of smooth preferences were endowed with a Hilbert...

Persistent link: https://www.econbiz.de/10005623317

General equilibrium and social choice with increasing returns

Chichilnisky, Graciela - Volkswirtschaftliche Fakultät, … - 1990

preferences with a standard topology. …

Persistent link: https://www.econbiz.de/10005623380