The incidence of overdissipation in rent-seeking contests

Tullock's analysis of rent seeking and overdissipation is reconsidered. We show that, while equilibrium strategies do not permit overdissipation in expectation, for particular realizations of players' mixed strategies the total amount spent competing for rents can exceed the value of the prize. We also show that the cross-sectional incidence of overdissipation in the perfectly discriminating contest ranges from 0.50 to 0.44 as the number of players increases from two to infinity. Thus, even though the original analysis of overdissipation is flawed, there are instances in which rent-seekers spend more than the prize is worth.     

The solution to the Tullock rent-seeking game when R>2: Mixed-strategy equilibria and mean dissipation rates

In Tullock's rent-seeking model, the probability a player wins the game depends on expenditures raised to the power R. We show that a symmetric mixed-strategy Nash equilibrium exists when R>2, and that overdissipation of rents does not arise in any Nash equilibrium. We derive a tight lower bound on the level of rent dissipation that arises in a symmetric equilibrium when the strategy space is discrete, and show that full rent dissipation occurs when the strategy space is continuous. Our results are shown to be consistent with recent experimental evidence on the dissipation of rents.     

Inefficient redistribution and inefficient redistributive politics

This paper examines the effect of inefficient redistribution in Myerson’s (American Political Science Review 87:856–869, 1993) model of redistributive politics. Regardless of the absolute levels of the efficiency of political parties’ transfers to different voter segments, parties have incentive to (stochastically) shift resources away from voter segments with large relative efficiency gaps between the two parties’ transfers towards voter segments with smaller relative efficiency gaps. Because of this dependence on relative, and not absolute, levels of efficiency, the parties’ optimal strategies may lead to large discrepancies between the sum of the budgetary transfers and the sum of the effective transfers.