Aggregate information, common knowledge, and agreeing not to bet
I consider a gamble where the sum of the distributed payoffs is proportionate to the number of participants. I show that no subset of the population can agree to participate in the bet, if the size of the group is commonly known. Repeated announcements of the number of the participants leads the population to agree not to bet.
Göteborg University. School of Buisness, Economics and Law
Department of Economics