In a repeated two-person zero-sum game with incomplete information on one side, the values vn of the n-stage games converge to the value v\infty of the infinite game with worst case error \sim(ln n/n)1/3.

This paper gives a concrete example of a nondictatorial, coalitionally strategyproof social choice function for countably infinite societies. The function is defined for those profiles such that for each alternative, the coalition that prefers it the most is gdescribable.h The gdescribableh...