The design of rent-seeking competitions

In the standard Tullock model of rent-seeking as a noncooperative game, aggregate expenditures by seekers can equal, exceed, or fall short of total rents depending on what is assumed about the number of seekers and the marginal return to a seeker's investment. If the supply of an input into the rent-seeking process is controlled by a politician who receives payment from seekers for it, the indeterminacy of the process becomes a less serious problem. He supplies it and designs the rent-seeking game to maximize his wealth. The author derives expressions for the number of seekers and the marginal return parameter which maximize the politician's wealth in one-input and two-input rent-seeking processes.     

Measuring rent-seeking

Public Choice - Some 30 years ago Gordon Tullock, in his capacity as Editor of Public Choice, made a pointed effort to motivate researchers to measure and quantify resource investments in...     

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.     

Cooperative rent-seeking

The paper introduces a concept of “efficiency set” in the context of group decisions and analyses its properties. If the set contains a single element, then the Borda rule finds it. Otherwise, the group needs a value function to choose from the efficient alternatives. Two value functions, with considerations for the number of participants who are badly affected by the choice, have been discussed. It turns out that the consistency axiom of group choice imposes a constraint, on the form of the value function, with questionable normative significance.     

Stackelberg rent-seeking

In this paper I present a formal analysis of rent-seeking games in which the players do not move simultaneously. I consider rent-seeking situations where the players are risk neutral and may value the prize differently. The subgame perfect equilibrium outcome in this Stackelberg game provides several surprising and interesting results. I extend the problem to deal with cases of incomplete information concerning the value a player has for the politically contestable rent.     

Influencing rent-seeking contests

This paper shows that a policy that uniformly increases contestants’ effort costs can lead to an increase in total effort. In asymmetric settings, this “levels the playing field” and therefore encourages weaker players (who otherwise would have stayed out) to enter. Paradoxically, a contest designer whose only objective is to maximize total effort may thus wish to make rent-seeking “more difficult.” These results suggest that the often-lamented bureaucratic red tape might in fact be a rational response to the problem of attracting lobbyists to participate in a contest.     

The strategic advantage of interdependent preferences in rent-seeking contests

We study rent-seeking contests, where the set of players contains two groups of players – one with independent preferences and the other with (negatively) interdependent preferences. It turns out that the latter experience a strategic advantage in general two-player contests and in n-player-contests with non-increasing marginal efficiency. For general n-player contests with increasing marginal efficiency, the strategic advantage prevails provIDed convexity of contest technologies is sufficiently weak. For strongly convex contest technologies, other types of equilibria exist, including one where indivIDualists receive strictly higher pay-off.     

A rent-seeking model of TELs

Tax and expenditure limits or TELs are constitutional or statutory constraints on the fiscal powers of government. Since the taxpayer revolt beginning in the late 1970s, TELs have been introduced in twenty-three states. In recent years a number of studies attempting to test the impact of TELs have found little evidence that TELs significantly reduced the growth of state government. In this study we challenge the implicit Leviathan model that underlies most of these studies, and offer an alternative rent-seeking model. Econometric tests provide support for this rentseeking model, and indicate that TELs have been significant in reducing the growth of state government, at least in the short run. “... the very principle of constitutional government requires it to be assumed, that political power will be abused to promote the particular purpose of the holder; not because it always is so, but because such is the natural tendency of things, to guard against which is the especial use of free institutions”     

A multi-winner nested rent-seeking contest

Public Choice - This paper considers a symmetric imperfectly discriminating rent-seeking contest in which there may be several winners. We first demonstrate a serious flaw in previous work and then...     

A general analysis of rent-seeking games

In this paper we reconsider the basic model of “efficient rent seeking.” We stress the importance of the shape of the players' reaction curve in order to understand the impact of the technology of rent-seeking on the structure of the outcome of the game. We give a complete characterization of the pure strategy equilibria. Moreover, the possibility of preemption by a Stakelberg leader is discussed according to the nature of the technology of rent-seeking available to the agents.     

University admission requirements as rent-seeking

The paper argues that admission requirements into public universities are best viewed as rent-seeking by several groups, in contrast to the conventional rationing rationale. The rents are principally nonfinancial for some of the groups. The paper concludes by showing why admission requirements are not set too high.Discussions with Joe Jadlow, Scott Turner and Larkin Warner, and comments by colleagues on an earlier version in our departmental Workshop helped clarify the issues. I thank them, emphasizing that the normal caveat is not pro forma.     

A generalized model of rent-seeking behavior

In this paper I present a formal analysis of rent-seeking games in which the players' valuations for the prize are represented as vectors. The players in this game are risk neutral and may not be indifferent to who wins the contestable rent if it is someone else. Both Tullock's original rent-seeking model and the public goods rent-seeking model by Katz et al. turn out to be special cases of this more general model.     

Some empirical evidence on rent-seeking

We tested for the capture of net gains by winners in rent-seeking competitions, using the most prominent announcements of government favors in the Canadian economy over a twelve-year period. Stockholders' returns were not significantly different from zero. One possible explanation is that government assists firms only when assistance creates political gains. Refusing to transfer economic rents to firms maximmizes the resources available to serve political purposes. This kind of behavior by government officials would imply that government has market power, which is consistent with several well-known theories of government.     

How organizational structure can reduce rent-seeking

In multi-tiered organizations, individuals can engage in unproductive rent-seeking activities both within and between the divisions of the organization. Nevertheless, a multi-tiered organizational structure can induce efficiency gains by decreasing rent-seeking. We present a model of production and simultaneous internal and external rent-seeking, assuming a logistic contest success function. In equilibrium, there is generically either internal or external rent-seeking, but not both. A multi-tiered organization leads to less rent-seeking and higher welfare, even though the production technology gives no reason for any specific organizational structure. Our findings constitute a new efficiency rationale for multi-tiered organizations.     

Risk aversion in two-period rent-seeking games

This work analyzes a two-period rent-seeking game, with the aim of studying the effect of risk aversion on the optimal choices made by the rent-seekers. We first prove that the equilibrium in two-period rent-seeking games always is unique. The analysis also shows that more risk aversion reduces the investment in the rent-seeking game in a two-period framework without introducing the additional condition of prudence, required in one-period models. Similarly, the introduction of a risky rent, instead of a given rent, implies, in the two-period framework, a reduction in investment under the condition that the rent-seekers are risk averse. Moreover, with risk aversion, larger first-period wealth increases investment in the rent-seeking game and larger second-period wealth reduces it. When both first-period and second-period wealth increase, investment in the rent-seeking game declines if the rent-seeker is risk averse and imprudent. Lastly, when a risky level of second-period wealth is introduced, the rent-seeker increases (reduces) investment in the rent-seeking game if he is risk averse and prudent (imprudent).

     

Endogenous sharing rules in collective-group rent-seeking

This paper examines the possibility of endogenous determination of intra-group sharing rules in a collective-group rent-seeking game. Collective-group rent-seeking is considered as a two-stage Nash-Cournot game in which sharing rules are determined prior to individual decision on voluntary contribution. The solution is subgame perfect and is obtained by backward induction. In competition between two groups of the same size, the Nash equilibrium sharing rule of each group is to distribute rent to each according to relative effort. Total rent-seeking outlays in this case are equal to those obtained by Tullock (1980). When more than two groups compete for a rent, the sharing rule based on relative effort is again likely to be the Nash equilibrium strategy of each group. The amount of total rent-seeking outlays is also equal to that in Tullock (1980). In a nutshell, the rent is substantially dissipated if sharing rules are endogenously determined.