Logrolling and Budget Allocation Games

In this paper we approach the concept of logrolling by examining a voting system where choices are made among sets of competing projects as a game in characteristic function form. We translate the question: “Will there be prices for votes on different projects which clear the market?” into a different, but equivalent question: “Is the formal game we have described a market game?” We show that in general the answer is no, unless all voters have virtually the same preferences.