Maximal elements and equilibria of generalized games for 𝒰-majorized and condensing correspondences
In this paper, we first give an existence theorem of maximal elements for a new type of preference correspondences which are 𝒰-majorized. Then some existence theorems for compact (resp., non-compact) qualitative games and generalized games in which the constraint or preference correspondences are 𝒰-...
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| Format: | Article |
| Language: | English |
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Wiley
1999-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171299221795 |
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| _version_ | 1832560248865423360 |
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| author | George Xian-Zhi Yuan E. Tarafdar |
| author_facet | George Xian-Zhi Yuan E. Tarafdar |
| author_sort | George Xian-Zhi Yuan |
| collection | DOAJ |
| description | In this paper, we first give an existence theorem of maximal elements for a new type of preference correspondences which are 𝒰-majorized. Then some existence theorems for compact (resp., non-compact) qualitative games and generalized games in which the constraint or preference correspondences are 𝒰-majorized (resp., Ψ-condensing) are obtained in locally convex topological vector spaces. |
| format | Article |
| id | doaj-art-6a55868a71ae40ceb0ef06a1dea24717 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1999-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-6a55868a71ae40ceb0ef06a1dea247172025-02-03T01:28:01ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251999-01-0122117918910.1155/S0161171299221795Maximal elements and equilibria of generalized games for 𝒰-majorized and condensing correspondencesGeorge Xian-Zhi Yuan0E. Tarafdar1Department of Mathematics, Statistics and Computing Science, Dalhousie University, Halifax, Nova Scotia B3H 3J5, CanadaDepartment of Mathematics, The University of Queensland, Brisbane 4072, AustraliaIn this paper, we first give an existence theorem of maximal elements for a new type of preference correspondences which are 𝒰-majorized. Then some existence theorems for compact (resp., non-compact) qualitative games and generalized games in which the constraint or preference correspondences are 𝒰-majorized (resp., Ψ-condensing) are obtained in locally convex topological vector spaces.http://dx.doi.org/10.1155/S0161171299221795Ψ-condensing mappings𝒰 class𝒰-majorizedopen lower sectionslower semicontinuousupper semicontinuousfixed pointmathematical economicsmaximal elementselection theoremequilibrium pointabstract economygeneralized game. |
| spellingShingle | George Xian-Zhi Yuan E. Tarafdar Maximal elements and equilibria of generalized games for 𝒰-majorized and condensing correspondences International Journal of Mathematics and Mathematical Sciences Ψ-condensing mappings 𝒰 class 𝒰-majorized open lower sections lower semicontinuous upper semicontinuous fixed point mathematical economics maximal element selection theorem equilibrium point abstract economy generalized game. |
| title | Maximal elements and equilibria of generalized games for
𝒰-majorized and condensing correspondences |
| title_full | Maximal elements and equilibria of generalized games for
𝒰-majorized and condensing correspondences |
| title_fullStr | Maximal elements and equilibria of generalized games for
𝒰-majorized and condensing correspondences |
| title_full_unstemmed | Maximal elements and equilibria of generalized games for
𝒰-majorized and condensing correspondences |
| title_short | Maximal elements and equilibria of generalized games for
𝒰-majorized and condensing correspondences |
| title_sort | maximal elements and equilibria of generalized games for 𝒰 majorized and condensing correspondences |
| topic | Ψ-condensing mappings 𝒰 class 𝒰-majorized open lower sections lower semicontinuous upper semicontinuous fixed point mathematical economics maximal element selection theorem equilibrium point abstract economy generalized game. |
| url | http://dx.doi.org/10.1155/S0161171299221795 |
| work_keys_str_mv | AT georgexianzhiyuan maximalelementsandequilibriaofgeneralizedgamesforumajorizedandcondensingcorrespondences AT etarafdar maximalelementsandequilibriaofgeneralizedgamesforumajorizedandcondensingcorrespondences |