Voting for Voters: The Unanimity Case

Daniel Granot, Michael Maschler & Jonathan Shalev

We present a simplified model of the evolution of a society which is regulated by a formal unanimity voting procedure. We examine several protocols, which depend on whether admission or expulsion are permissible, and on the order with which they are implemented. Conditions which ensure the existence of pure-strategy perfect equilibrium profiles for some voting protocols, and counter examples for the existence of such profiles in other protocols are presented. Finally, we prove that the original founders would prefer a protocol in which expulsion precedes admission to protocols in which admission precedes expulsion, or the two are treated simultaneously.

May, 2000
Published in: 
International Journal of Game Theory 31 (2003), 155-202.