A decision scheme (Gibbard, 1977) maps profiles of strict preferences over a set of social alternatives to lotteries over the social alternatives. A decision scheme is weakly strategy-proof if it is never possible for a voter to increase expected utility (for some vNM utility function consistent...

Power indices have been used to evaluate the allocation of power in a wide range of voting situations. While they use the language of game theory known measures of a priori voting power are hardly more than statistical expectations assuming the random behaviour of the players. We introduce a...

A number of incremental electoral reforms have not measurably improved government performance in California. In this research note, we simulate and map electoral outcomes under a simple form of proportional representation: 16 five-seat districts for the 80-seat California Assembly. In addition...