An extreme point characterization of strategy-proof and unanimous probabilistic rules over binary restricted domains
Journal of Mathematical Economics
We show that every strategy-proof and unanimous probabilistic rule on a binary restricted domain has binary support, and is a probabilistic mixture of strategy-proof and unanimous deterministic rules. Examples of binary restricted domains are single-dipped domains, which are of interest when considering the location of public bads. We also provide an extension to infinitely many alternatives.
Peters, Hans; Roy, Souvik; Sadhukhan, Soumyarup; and Storcken, Ton, "An extreme point characterization of strategy-proof and unanimous probabilistic rules over binary restricted domains" (2017). Journal Articles. 2664.