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Monotonicity of Power in Weighted Voting Games with Restricted Communication

Title data

Napel, Stefan ; Nohn, Andreas ; Alonso-Meijide, José Maria:
Monotonicity of Power in Weighted Voting Games with Restricted Communication.
In: Mathematical Social Sciences. Vol. 64 (2012) Issue 3 . - pp. 247-257.
ISSN 0165-4896
DOI: https://doi.org/10.1016/j.mathsocsci.2012.05.008

Abstract in another language

Indices that evaluate the distribution of power in simple games are commonly required to be monotonic in voting weights when the game represents a voting body such as a shareholder meeting, parliament, etc. The standard notions of local or global monotonicity are bound to be violated, however, if cooperation is restricted to coalitions that are connected by a communication graph. This paper proposes new monotonicity concepts for power in games with communication structure and investigates the monotonicity properties of the Myerson value, the restricted Banzhaf value, the position value, and the average tree solution.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: powermeasurement; weightedvoting; restrictedcommunication; monotonicity; centrality; Myerson value; position value; average tree solution
Subject classification: C71
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
500 Science
500 Science > 510 Mathematics
Date Deposited: 12 Feb 2016 09:12
Last Modified: 03 May 2017 08:12
URI: https://eref.uni-bayreuth.de/id/eprint/30225