A characterization of random min–max domains and its applications
We show that a random rule on a top-connected single-peaked domain is unanimous and strategy-proof if and only if it is a random min–max rule. As a by-product of this result, it follows that a top-connected single-peaked domain is tops-only for random rules. We further provide a characterization of the random min–max domains.
Roy, Souvik and Sadhukhan, Soumyarup, "A characterization of random min–max domains and its applications" (2019). Journal Articles. 652.