Frank H. Page, Jr.; Wooders, Myrna H. - Vanderbilt University Department of Economics - 2005
. Using the farsighted core as our stability notion, we show that if agents' payoffs are single-peaked and agents agree on the … partition of agents into clubs of optimal size, then a necessary and sufficient condition for the farsighted core to be nonempty … agents, then the farsighted core may be empty. Contrary to prior results in the literature involving myopic behavior, our …