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Homology groups and decomposition of the game complex | ||
| AUT Journal of Mathematics and Computing | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 15 مرداد 1403 | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2024.20822.1216 | ||
| نویسندگان | ||
| Neda Shojaee* ؛ Aidin Fallah | ||
| Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Iran | ||
| چکیده | ||
| In this paper, we introduce a novel simplicial complex named Game Complex for finite non-cooperative games in the strategic form. We prove that the number of Nash equilibrium in non-cooperative games with more than two players is the rank of the first homology group of the game complex. Furthermore, we give a decomposition of the game complex. | ||
| کلیدواژه‌ها | ||
| Nash equilibrium؛ Hodge operator | ||
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آمار تعداد مشاهده مقاله: 117 |
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