تقرير
Combinatorics on Social Configurations
| العنوان: | Combinatorics on Social Configurations |
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| المؤلفون: | Mermoud, Dylan Laplace, Popoli, Pierre |
| المصدر: | EPTCS 403, 2024, pp. 128-133 |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science |
| مصطلحات موضوعية: | Computer Science - Computer Science and Game Theory, Computer Science - Discrete Mathematics |
| الوصف: | In cooperative game theory, the social configurations of players are modeled by balanced collections. The Bondareva-Shapley theorem, perhaps the most fundamental theorem in cooperative game theory, characterizes the existence of solutions to the game that benefit everyone using balanced collections. Roughly speaking, if the trivial set system of all players is one of the most efficient balanced collections for the game, then the set of solutions from which each coalition benefits, the so-called core, is non-empty. In this paper, we discuss some interactions between combinatorics and cooperative game theory that are still relatively unexplored. Indeed, the similarity between balanced collections and uniform hypergraphs seems to be a relevant point of view to obtain new properties on those collections through the theory of combinatorial species. Comment: In Proceedings GASCom 2024, arXiv:2406.14588 |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.4204/EPTCS.403.27 |
| URL الوصول: | http://arxiv.org/abs/2406.16409 |
| رقم الأكسشن: | edsarx.2406.16409 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.4204/EPTCS.403.27 |
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