The applications of equilibriua of abstract economics
碩士 === 國立彰化師範大學 === 數學系 === 90 === In this paper, we apply a existence theorem of maximal elements for a family in which domains may not be compact to establish the existence theorem of abstract economics. We can apply it to three parts. One is to establish the existence theorem of Nash t...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
2002
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| Online Access: | http://ndltd.ncl.edu.tw/handle/95055276046676544378 |
| Summary: | 碩士 === 國立彰化師範大學 === 數學系 === 90 === In this paper, we apply a existence theorem of maximal elements for a family in which domains may not be compact to establish the existence theorem of abstract economics. We can apply it to three parts. One is to establish the existence theorem of Nash type equilibrium problem for multivalued mappings with noncompact domains and subject to two constraint. And the existence theorem of this problem include the Nash equilibrium theorem. Another is to establish the existence theorems and give a unified approach of system of generalized vector quasi-equilibrium problems. The other is to apply which to minimax inequality for a family of (multivalued) functions. Furthermore, the Ky-Fun minimax inequality is included in our existence theorem.
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