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Monotonicity of Power in Games with A Priori Unions

Title data

Alonso-Meijide, José Maria ; Bowles, Carlos ; Holler, Manfred J. ; Napel, Stefan:
Monotonicity of Power in Games with A Priori Unions.
In: Theory and Decision. Vol. 66 (2009) Issue 1 . - pp. 17-37.
ISSN 1573-7187
DOI: https://doi.org/10.1007/s11238-008-9114-2

Abstract in another language

Power indices are commonly required to assign at least as much power to a player endowed with some given voting weight as to any player of the same game with smaller weight. This local monotonicity and a related global property however are frequently and for good reasons violated when indices take account of a priori unions amongst subsets of players (reflecting, e.g., ideological proximity). This paper introduces adaptations of the conventional mono- tonicity notions that are suitable for voting games with an exogenous coalition structure. A taxonomy of old and new monotonicity concepts is provided, and different coalitional versions of the Banzhaf and Shapley-Shubik power indices are compared accordingly.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: monotonicity; voting power; coalitional values; coalition structures; a priori unions
Subject classification: 91A12, 91A80
Institutions of the University: Faculties
Faculties > Faculty of Law, Business and Economics
Faculties > Faculty of Law, Business and Economics > Department of Economics
Faculties > Faculty of Law, Business and Economics > Department of Economics > Chair Economics IV
Faculties > Faculty of Law, Business and Economics > Department of Economics > Chair Economics IV > Chair Economics IV - Univ.-Prof. Dr. Stefan Napel
Result of work at the UBT: Yes
DDC Subjects: 300 Social sciences
300 Social sciences > 320 Political science
300 Social sciences > 330 Economics
Date Deposited: 12 Feb 2016 10:20
Last Modified: 03 May 2017 08:12
URI: https://eref.uni-bayreuth.de/id/eprint/30231