EconPapers    
Economics at your fingertips  
 

Harsanyi Power Solutions for Cooperative Games on Voting Structures

Encarnación Algaba, Sylvain Béal, Éric Rémila () and Philippe Solal
Additional contact information
Encarnación Algaba: Universidad de Sevilla = University of Seville
Éric Rémila: GATE Lyon Saint-Étienne - Groupe d'Analyse et de Théorie Economique Lyon - Saint-Etienne - ENS de Lyon - École normale supérieure de Lyon - Université de Lyon - UL2 - Université Lumière - Lyon 2 - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon - UJM - Université Jean Monnet - Saint-Étienne - CNRS - Centre National de la Recherche Scientifique

Post-Print from HAL

Abstract: This paper deals with Harsanyi power solutions for cooperative games in which partial cooperation is based on specific union stable systems given by the winning coalitions derived from a voting game. This framework allows for analyzing new and real situations in which there exists a feedback between the economic influence of each coalition of agents and its political power. We provide an axiomatic characterization of the Harsanyi power solutions on the subclass of union stable systems arisen from the winning coalitions from a voting game when the influence is determined by a power index. In particular, we establish comparable axiomatizations, in this context, when considering the Shapley-Shubik power index, the Banzhaf index and the Equal division power index which reduces to the Myerson value on union stable systems. Finally, a new characterization for the Harsanyi power solutions on the whole class of union stable systems is provided and, as a consequence, a characterization of the Myerson value is obtained when the equal power measure is considered.

Date: 2019
References: Add references at CitEc
Citations: View citations in EconPapers (4)

Published in International Journal of General Systems, 2019, 48 (6), pp.575-602. ⟨10.1080/03081079.2019.1615908⟩

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
Working Paper: Harsanyi power solutions for cooperative games on voting structures (2019)
Working Paper: Harsanyi power solutions for cooperative games on voting structures (2018) Downloads
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-02129929

DOI: 10.1080/03081079.2019.1615908

Access Statistics for this paper

More papers in Post-Print from HAL
Bibliographic data for series maintained by CCSD ().

 
Page updated 2025-03-22
Handle: RePEc:hal:journl:halshs-02129929