Manifolds of Preferences and Equilibria.

Abstract

Local and global properties of spaces of preferences are studied, with applications to general equilibrium, utility and demand analysis. Spaces of smooth, not necessarily convex or increasing preferences are proven to be representable as differentiable Hilbert manifolds. These structures of spaces of preferences are then used to extend results on the regularity of equilibria to economies where the agents are described by their preferences and endowments. Subspaces of preferences which give foliations of the commodity space and also subspaces of convex and increasing smooth preferences are shown to be submanifolds. Topological properties of these manifolds, and local and global properties of the demands and the utilities of the agents in relation to the underlying preferences are also studied. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1976
Accession Number
ADA036138

Entities

People

  • Graciela Chichilnisky

Organizations

  • Harvard University

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Algebraic Topology
  • Banach Space
  • Boundaries
  • Commodities
  • Construction
  • Coordinate Systems
  • Differential Topology
  • Economic Systems
  • Hilbert Space
  • Identities
  • Inequalities
  • Measure Theory
  • Numbers
  • Real Numbers
  • Theorems
  • Topology
  • United States

Fields of Study

  • Economics

Readers

  • Economics
  • Graph Algorithms and Convex Optimization.
  • Team-Based Human-Centered Cognitive Task Decision Making and Information Performance.

Technology Areas

  • Space