The Two-dimensional Model of Jury Decision Making

This paper discusses a two-dimensional jury model. It combines the idea of winning a maximum of votes in a voting game with utility maximization that derives from the winning proposition. The model assumes a first mover, the plaintiff, and a second-mover, the counsel of the defendant. Typically, these agents represent parties that have conflicting interests. Here they face a jury that consists of three groups of voters such that no single group has a majority of votes. Each group is characterized by homogeneous preferences on three alternatives that describe the possible outcomes. The outcome is selected by a simple majority of the jury members. The agents are interested in both gaining the support of a majority of jury members and seeing their preferred alternative selected as outcome. It will be demonstrated that equilibrium decision making can be derived for this model.