Existence and construction of voting situations concordant with ranking patterns

Abstract

Referring to a standard context of voting theory, and to the classic notion of voting situation, here we show that it is possible to observe any arbitrary set of elections' outcomes, no matter how paradoxical it may appear. On this purpose we use results, presented in a recent paper of us, that hinge on the concept of ranking pattern concordant with a probability model for non-negative random variables and on a related role of special load-sharing models. Our results here will be obtained by suitably extending those therein, and by converting them into the context of voting.