Perfection of the Jury Rule by Rule-Reforming Voters

With no authority to change the constitution, a jury does the next best thing: it adopts the optimal rule given the constitution. At equilibrium, some jurors, called the rule reformers, vote independent of their information producing the second-best rule. The remaining jurors vote on the basis of their information enabling aggregation of the dispersed information. Arising from this asymmetric voting in a simultaneous jury game is an equivalence class of asymmetric strong Nash equilibria in pure strategies at which the information aggregation is at its best. Thus, the strategic act of rule reforming enables individual rationality to yield collective rationality. The coordination problem, as to which juror would play which role, can be solved by letting the jurors make a non-binding pre-play agreement specifying each juror’s role; the agreement is self enforcing. The results hold for any voting rule, and any costs of erroneous conviction and acquittal.