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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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.
|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|
|Published Online:||18 December 2002|