Winning coalitions in plurality voting democracies

René Brink (), Dinko Dimitrov and Agnieszka Rusinowska
Additional contact information
René Brink: VU University

Social Choice and Welfare, 2021, vol. 56, issue 3, No 4, 509-530

Abstract: Abstract We consider plurality voting games being simple games in partition function form such that in every partition there is at least one winning coalition. Such a game is said to be weighted if it is possible to assign weights to the players in such a way that a winning coalition in a partition is always one for which the sum of the weights of its members is maximal over all coalitions in the partition. A plurality game is called decisive if in every partition there is exactly one winning coalition. We show that in general, plurality games need not be weighted, even not when they are decisive. After that, we prove that (i) decisive plurality games with at most four players, (ii) majority games with an arbitrary number of players, and (iii) decisive plurality games that exhibit some kind of symmetry, are weighted. Complete characterizations of the winning coalitions in the corresponding partitions are provided as well.

Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://link.springer.com/10.1007/s00355-020-01290-y Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
Working Paper: Winning coalitions in plurality voting democracies (2021)
Working Paper: Winning coalitions in plurality voting democracies (2021)
Working Paper: Winning coalitions in plurality voting democracies (2021)
Working Paper: Winning Coalitions in Plurality Voting Democracies (2019)
Working Paper: Winning Coalitions in Plurality Voting Democracies (2019)
Working Paper: Winning Coalitions in Plurality Voting Democracies (2019)
Working Paper: Winning Coalitions in Plurality Voting Democracies (2019)
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:spr:sochwe:v:56:y:2021:i:3:d:10.1007_s00355-020-01290-y

Ordering information: This journal article can be ordered from
http://www.springer. ... c+theory/journal/355

DOI: 10.1007/s00355-020-01290-y

Access Statistics for this article

Social Choice and Welfare is currently edited by Bhaskar Dutta, Marc Fleurbaey, Elizabeth Maggie Penn and Clemens Puppe

More articles in Social Choice and Welfare from Springer, The Society for Social Choice and Welfare Contact information at EDIRC.
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().