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.
Shubik, Martin and Van der Heyden, Ludo, "Logrolling and Budget Allocation Games" (1977). Cowles Foundation Discussion Papers. 677.