“…As a consequence, in each state there is some alternative that has a higher utility than a in A [ B, and therefore a must be chosen with probability zero 5 E.g. Frolich, Oppenheimer and Moore [16] and Dufwenberg and Muren [9] (choices in a dictator games concentrated on giving nothing or 50/50), Sura, Shmuelib, Bosec and Dubeyc [35] (bimodal distributions in ratings, such as Amazon), Plerou, Gopikrishnan, and Stanley [30] (phase transition to bimodal demand "bulls and bears"-in financial markets), Engelmann and Normann [13] (bimodality on maximum and minimum effort levels in minimum effort games), McClelland, Schulze and Coursey [26] (bimodal beliefs for unlikely events and willingness to insure).…”