Stouti, Abdelkader (2005) A generalized Amman's fixed point theorem and its application to Nash equlibrium. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 21 (2). pp. 107-112. ISSN 0866-0174
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Abstract
In this paper, we first give a generalization of Amann's fixed point theorem. By using the duality principle, we obtain the existence of the greatest fixed point for monotone set-valued maps. As application we apply our results to show that the set of Nash equilibrium of a subcategory of D'Orey's extended supermodular game has a least and a greatest elements.
| Item Type: | Article |
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| Uncontrolled Keywords: | Fixed points, set-valued map, supermodular game, Nash equilibrium. |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | Zsolt Baráth |
| Date Deposited: | 31 Jan 2024 12:46 |
| Last Modified: | 31 Jan 2024 12:46 |
| URI: | http://real.mtak.hu/id/eprint/186838 |
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