The Owen and Banzhaf-Owen values revisited
In this work, we consider games with coalitional structure. We afford two new parallel axiomatic characterizations for the well-known Owen and Banzhaf–Owen coalitional values. Two properties are common to both characterizations: a property of balanced contributions and a property of neutrality. The...
| Authors: | , , , |
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| Format: | article |
| Publication Date: | 2015 |
| Country: | España |
| Institution: | Universidad de Santiago de Compostela (USC) |
| Repository: | Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela |
| Language: | English |
| OAI Identifier: | oai:minerva.usc.gal:10347/38705 |
| Online Access: | https://hdl.handle.net/10347/38705 |
| Access Level: | Open access |
| Keyword: | Cooperative game Shapley value Banzhaf value Coalition structure Coalitional value Balanced contributions |
| Summary: | In this work, we consider games with coalitional structure. We afford two new parallel axiomatic characterizations for the well-known Owen and Banzhaf–Owen coalitional values. Two properties are common to both characterizations: a property of balanced contributions and a property of neutrality. The results prove that the main difference between these two coalitional values is that the former is efficient, while the latter verifies a property of 2-efficiency. |
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