2022/05/31 by Emilio De Santis, De Santis, Emilio, Fabio Spizzichino +1
Decision Sciences · Economics, Econometrics and Finance · Mathematics · #60E15 #91B12 #91B14 #Auction Theory and Applications #Combinatorics (math.CO) #FOS: Mathematics #Game Theory and Applications #Game Theory and Voting Systems #Probability (math.PR) #math.CO #math.PR #msc:60E15 #msc:91B12 #msc:91B14
paper · pdf · doi:10.48550/arxiv.2205.15679
24 pages
arxiv created 2022/05/31 · openalex publication_date 2022/05/31 · arxiv updated 2022/06/01 · openalex created_date 2022/06/13 · openalex updated_date 2026/07/28
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.