An extreme point characterization of strategy-proof and unanimous probabilistic rules over binary restricted domains

作者：Peters Hans^*; Roy Souvik; Sadhukhan Soumyarup; Storcken Ton

来源：Journal of Mathematical Economics, 2017, 69: 84-90.

DOI：10.1016/j.jmateco.2017.01.003

• Strategy-proofness
• Probabilistic rules
• Binary restricted domains
• Single-dipped domains

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.

• 出版日期2017-3