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. (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: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Hayashi, Professor 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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