Scoring rules are compared by the equilibria that they generate for simple elections with three candidates and voters drawn from large Poisson distributions. A calculus for comparing pivot probabilities in Poisson voting games is applied. For a symmetric Condorcet cycle, nonsymmetric...

We study the effects of communication in Bayesian games when the players are sequentially rational but some combinations of types have zero probability. Not all communication equilibria can be implemented as sequential equilibria. We define the set of strong sequential equilibria (SSCE) and...

We consider a model of two-candidate elections with a one-dimensional policy space. Spending on campaign advertisements can directly influence voters' preferences, and contributors give the money for campaign spending in exchange for promised services if the candidate wins. we find that the...

Elements of an economic theory of political institutions are introduced. A variety of electoral systems are reviewed. Cox's threshold is shown to measure incentives for diversity and specialization of candidates' positions, when the number of serious candidates is given. Duverger's law and its...

Existence of equilibria is proven for Poisson games with compact type sets and finite action sets. Then three theorems are introduced for characterizing limits of probabilities in Poisson games when the expected number of players becomes large. The magnitude theorem characterizes the rate at...