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Similarities and differences between success and decisiveness

Author
Freixas, J.; Pons, M.
Type of activity
Presentation of work at congresses
Name of edition
5th Workshop on Cooperative Games in Multiagent Systems
Date of publication
2014
Presentation's date
2014-05-05
Book of congress proceedings
The Fifth Workshop on Cooperative Games in Multiagent Systems
First page
1
Last page
15
Publisher
AA Publications
Project funding
Game theory: mathematical foundations and applications
Repository
http://hdl.handle.net/2117/24568 Open in new window
URL
http://aamas2014.lip6.fr/proceedings/workshops/AAMAS2014-W17/p13.pdf Open in new window
Abstract
We consider binary voting systems in which a probability distribution over coalitions is known. In this broader context decisiveness is an extension of the Penrose-Banzhaf index and success an extension of the Rae index for simple games. Although decisiveness and success are conceptually different we analyze their numerical behavior. The main result provides necessary and sufficient conditions for the ordinal equivalence of them. Indeed, under anonymous probability distributions they become ordi...
Citation
Freixas, J.; Pons, M. Similarities and differences between success and decisiveness. A: Workshop on Cooperative Games in Multiagent Systems. "The Fifth Workshop on Cooperative Games in Multiagent Systems". Paris: AA Publications, 2014, p. 1-15.
Keywords
Decisiveness, Rankings, Single peaked preferences, Success
Group of research
GRTJ - Game Theory Research Group

Participants

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