The nucleolus of a standard tree game revisited: a study of its monotonicity and computational properties
| Autor: | Jos A. M. Potters, Michael Maschler, Hans Reijnierse |
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| Rok vydání: | 2009 |
| Předmět: |
Statistics and Probability
Scheme (programming language) Economics and Econometrics Class (set theory) education.field_of_study Nucleolus Group (mathematics) Population ComputingMilieux_PERSONALCOMPUTING Monotonic function Interpretation (model theory) Tree (data structure) Mathematics (miscellaneous) Statistics Probability and Uncertainty education computer Mathematical economics Social Sciences (miscellaneous) computer.programming_language Mathematics |
| Zdroj: | International Journal of Game Theory. 39:89-104 |
| ISSN: | 1432-1270 0020-7276 |
| DOI: | 10.1007/s00182-009-0176-3 |
| Popis: | This paper introduces yet another algorithm to compute the nucleolus of a standard tree game. One advantage of this algorithm is that it provides a very intuitive interpretation of the nucleolus, under which the players participate in a joint enterprize in which each group sends a member to help the community. Another advantage is that it demonstrates monotonicity properties of the nucleolus within this class of games. As a consequence the nucleolus of a tree game can be extended to a population monotonic allocation scheme. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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