voting by committees with exit

Societies use voting rules to make decisions. The elections of representatives in democratic societies, the public positions taken up by political parties on different issues, or the admission of new members in a society are some examples of this. For this last example, Barberà et al. (1991) Mathematical Social Sciences 54 (2007) 152–175 www.elsevier.com/locate/econbaseWe 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 to 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 a