Equilibrium points of random generalized games
In this paper, the concepts of random maximal elements, random equilibria and random generalized games are described. Secondly by measurable selection theorem, some existence theorems of random maximal elements for Lc-majorized correspondences are obtained. Then we prove existence theorems of rando...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1998-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171298001100 |
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| Summary: | In this paper, the concepts of random maximal elements, random equilibria
and random generalized games are described. Secondly by measurable selection theorem, some
existence theorems of random maximal elements for
Lc-majorized correspondences are obtained.
Then we prove existence theorems of random equilibria for non-compact one-person random
games. Finally, a random equilibrium existence theorem for non-compact random generalized
games (resp., random abstract economics) in topological vector spaces and a random equilibrium
existence theorem of non-compact random games in locally convex topological vector spaces
in which the constraint mappings are lower semicontinuous with countable number of players
(resp., agents) are given. Our results are stochastic versions of corresponding results in the
recent literatures. |
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| ISSN: | 0161-1712 1687-0425 |