3 problems

Let $F$ be a generalized social welfare function on three alternatives satisfying the assumptions of Arrow's theorem, and suppose its Boolean choice functions are monotone threshol…

Let a generalized social welfare function (GSWF) on three alternatives satisfy the independent conditions of Arrow's theorem, and let $\epsilon>0$. Suppose that the probability of…

Let $n$ be odd, let $f$ be the AND function, let $g=f'$ be its dual function, and let $h$ be the majority function. These three choice functions define the GSWF in the example. Mos…