Academic Journal
Stability for Coalition Structures in Terms of the Proportional Partitional Shapley Value
| Title: | Stability for Coalition Structures in Terms of the Proportional Partitional Shapley Value |
|---|---|
| Authors: | Carreras Escobar, Francisco, Magaña Nieto, Antonio |
| Contributors: | Universitat Politècnica de Catalunya. Departament de Matemàtiques, Universitat Politècnica de Catalunya. ALBCOM - Algorísmia, Bioinformàtica, Complexitat i Mètodes Formals |
| Source: | UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) |
| Publisher Information: | Springer Science and Business Media LLC, 2024. |
| Publication Year: | 2024 |
| Subject Terms: | Coalition structure, Teoria de, 05 social sciences, 0211 other engineering and technologies, Classificació AMS::91 Game theory, Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs, economics, 02 engineering and technology, Jocs, Jocs cooperatius (Matemàtica), social and behavioral sciences::91A Game theory, TU cooperative game, 0502 economics and business, Shapley value, Jocs, Teoria de, Stability, Game theory, Classificació AMS::91 Game theory, economics, social and behavioral sciences::91A Game theory, Cooperative games (Mathematics), Proportional partitional |
| Description: | Many coalitional values have been introduced in the literature on cooperative games over the last decades, and especially since 2000. The multiplicity of options suggests the convenience of testing the existence of stable coalition structures, in the sense of Hart and Kurz (1983, Econometrica), when payments are made using some of these values. We recall their concept of $$\gamma$$ γ –stability and give results for the proportional partitional Shapley value, introduced by Alonso–Meijide et al (2015, Discrete Appl. Math.), which shares the utility of any coalition proportionally to the Shapley value of the involved players in the original game. |
| Document Type: | Article |
| File Description: | application/pdf |
| Language: | English |
| ISSN: | 2366-6161 0943-0180 |
| DOI: | 10.1007/s41412-024-00143-8 |
| Access URL: | https://hdl.handle.net/2117/418096 https://doi.org/10.1007/s41412-024-00143-8 |
| Rights: | CC BY |
| Accession Number: | edsair.doi.dedup.....b1740134e990a0d9c743aa9d603c49d5 |
| Database: | OpenAIRE |
| ISSN: | 23666161 09430180 |
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| DOI: | 10.1007/s41412-024-00143-8 |