On cyclic and nontransitive probabilities

Pavle Vuksanovic, A. J. Hildebrand

Motivated by classical nontransitivity paradoxes, we call an $n$-tuple $(x_1,\dots ,x_n)\in [0,1{]}^n$ \textit{cyclic} if there exist independent random variables $U_1,\dots ,U_n$ wit…