An undominated Nash equilibrium for voting by committees with exit

We consider the problem of a society whose members choose, with a voting by committees, a subset of new members from a given set of candidates. After knowing the elected candidates, former members may decide either stay or exit the society. We analyze the voting behavior of members who take into acc...

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Bibliographic Details
Authors: Massó, Jordi|||0000-0003-3712-0041, Neme, Alejandro, Berga, Dolors|||0000-0002-4873-7904, Bergantiños, Gustavo|||0000-0003-2592-5213
Format: article
Publication Date:2007
Country:España
Institution:Universitat Autònoma de Barcelona
Repository:Dipòsit Digital de Documents de la UAB
Language:English
OAI Identifier:oai:ddd.uab.cat:142843
Online Access:https://ddd.uab.cat/record/142843
https://dx.doi.org/urn:doi:10.1016/j.mathsocsci.2007.03.004
Access Level:Open access
Keyword:Voting
Committees
Undominated Nash Equilibrium
Description
Summary:We consider the problem of a society whose members choose, with a voting by committees, a subset of new members from a given set of candidates. After knowing the elected candidates, former members may decide either stay or exit the society. We analyze the voting behavior of members who take into account the effect of their votes not only on the elected candidates, but also on the final composition of the society. For additive and monotonic preferences with dichotomous bads we construct a strategy profile that is an undominated pure strategy Nash equilibrium of the induced voting game.