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A generalization of continuity and convexity conditions for correspondences in economic equilibrium theory

Urai, K., and Hayashi, T. (2000) A generalization of continuity and convexity conditions for correspondences in economic equilibrium theory. Japanese Economic Review, 51 (4). pp. 583-595. ISSN 1352-4739 (doi:10.1111/1468-5876.00172)

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Abstract

Fixed-point theorems for multi-valued mappings and economic equilibrium existence theorems are generalized from the viewpoint that the continuity and/or convexity assumptions on a mapping may be replaced by weaker local conditions on the vector field defined by the mapping. The generalization gives us natural conditions on individual (possibly non-ordered) preferences or aggregated demand behaviours so that we may obtain several extensions of recent results in social and game-theoretic equilibrium theories.

Item Type:Article
Status:Published
Refereed:Yes
Glasgow Author(s):Hayashi, Prof Takashi
Authors: Urai, K., and Hayashi, T.
College/School:College of Social Sciences > Adam Smith Business School > Economics
Journal Name:Japanese Economic Review
ISSN:1352-4739
Published Online:18 December 2002

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