On the limits to rent-seeking waste

The general equilibrium framework developed in this paper for analyzing the limits to rent-seeking waste goes beyond the existing literature by incorporating tax-financed, public subsidies and rent-protecting activities into a rent-seeking environment. We show that the limits to rent-seeking waste depend on the extent to which government subsidizes rent seekers and rent defenders through tax-financed grants, contracts and favors. As observed by Tullock (1967), the diversion of resources toward efforts to acquire a monopoly rent causes a social waste in addition to the excess burden of monopoly pricing measured by the Harberger triangle. In the absence of government subsidies to rent-seeking and under competitive conditions, this additional waste cannot exceed the maximum monopoly rent attainable. However, if government subsidizes expenditures on rent-seeking, then the additional waste can exceed the Tullock rectangle of monopoly rent and, in the limit, equal the economy's maximum potential social surplus.Rent avoidance expenditures reduce the rent to be captured and thus discourage rent-seeking. If rent avoidance is a relatively efficient mechanism for transferring consumer surplus to rent granters, then rent-seeking expenditures are displaced by less wasteful expenditures on rent defending. As a result, under competitive conditions, unsubsidized demand for private rent protection may be socially efficient. Nonetheless, the upper limit to rent-seeking waste depends on constitutionally determined maximum rates of public subsidies to rent-seeking and rent-avoidance activities.     

Crowding-out in productive and redistributive rent-seeking

This paper presents a general rent-seeking model in which participants decide on entry before choosing their levels of efforts. The conventional wisdom in the rent-seeking literature suggests that the rent dissipation increases with the number of potential participants and with their productivity of effort. In this paper, we show that this result of the rent-seeking literature is far from general and applies only when participants are relatively weak and enter the game with certainty. In the presence of strong competitors, the expected total dissipation actually decreases, since participation in the game is less frequent. We further consider the impact of competitors’ exit option, distinguishing between “redistributive rent-seeking” and “productive rent-seeking” situations. In redistributive rent-seeking, no social loss results from the fact that all competitors exit the race. In productive rent-seeking, instead, lack of participation creates a social loss (the “lost treasure” effect), since valuable rents are left unexploited. We show that the lost-treasure effect perfectly counterbalances the reduction in rent dissipation due to competitors’ exit. Hence, unlike redistributive rent-seeking, in productive rent-seeking the total social loss remains equal to the entire rent even when parties grow stronger or the number of players increases.     

寻租与反寻租:一个理论模型

本文试图对国内学术界偏好使用却又屡被误用的寻租理论作出学术澄清.本文认为,完整、准确的寻租理论应由如下四个命题组成:1.市场主体价值指向的租金非仅一种而是有三种,即分别由创新原因、自然原因和管制原因引致的垄断租金;2.市场主体追求创新租金的寻利行为是自由竞争条件下的正和博弈,而其追逐管制租金的寻租行为则是在不完全竞争条件下的负和博弈;3政府进行制度创新,引导市场主体从寻租走向寻利,可以实现反寻租的目的;4.由于政府同样具有理性经济人特征,通过制度创新进行反寻租有可能引起新的寻租,陷入反寻租的悖论.     

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.     

X-efficiency,rent-seeking and social costs

This paper investigates shifts in cost functions of monopoly and regulated firms operating under conditions of X-inefficiency and rent-seeking behavior. We show that X-inefficiency and rent seeking have significantly different implications for economic welfare. Distinctions are drawn between pecuniary and real X-inefficiency and between sunk and continuing rent-seeking costs. In general, for a given cost shift rent-seeking behavior implies larger social costs than does X-inefficiency theory. However, cost shifts caused by either X-inefficiency or rent seeking are observationally equivalent. This implies empirically measured cost shifts cannot unambiguously be attributed to either cause.     

Privately informed seekers of an uncertain rent

Two departures from antecedent rent-seeking models are invoked: a rent of unknown size is sought, and rent seekers obtain private imperfect estimates of this size. A symmetric equilibrium for a fixed number of rent seekers is characterized, and shown to underdissipate the rent. Then a model of the decision to obtain private information and participate in the rent-seeking contest is built. The symmetric equilibrium participation probability equates expected profit to participation costs. A simple formula for underdissipation results: dissipation is incomplete precisely by the expected aggregate participation costs. If an award mechanism can attain a lower level of dissipation for a fixed number of seekers, then it will raise the endogenous probability of participation, and as a result will dissipate less rent in the equilibrium with an endogenous number of seekers.     

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).

     

The number of rent-seekers and aggregate rent-seeking expenditures: An unpleasant result

I examine a rent-seeking contest in which the winner gets a minimum rent but also gets an additional rent which is an increasing function of his lobbying expenditure. I give real-world examples of such rent-seeking competitions. Contrary to the standard result in the rent-seeking literature, I obtain the perverse result that aggregate rent-seeking expenditures may be inversely related to the number of rent-seekers. However, I note that even if this result holds, the cost of administering rent-seeking competitions may imply that society is better off with fewer contenders than with an infinitely large number of contenders, although the optimal number may not be the smallest number.     

Rent-seeking and pesticide legislation

This paper provides a test of the Appelbaum and Katz (1987) rent-seeking model, in which rents are endogenous. The Appelbaum-Katz model is theoretically modified to correspond to our empirical application, in which rent-seeking and rent-avoiding coalitions are attempting to influence legislators' votes on pesticide regulations. Probit estimations are used to analyze the legislators' votes on two bills to amend pesticide legislation (a proxy for rent). Empirical results generally support the rent-seeking determinants identified in the model. Tobit estimation is used to investigate campaign contributions by the coalitions to the legislators. These contributions are a proxy for rent-seeking activities. Again, the model is supported.     

Rent seeking and rent setting with asymmetric effectiveness of lobbying

This paper provides a more general model of the determination of rent-seeking costs by combining the following features: endogenous rent determination, asymmetric effectiveness of contending agents in their lobbying efforts, and multiple periods. In doing so, the paper generalizes some aspects of the work of Applelbaum and Katz (1987), Rogerson (1982), Leininger (1992) and Kohli (1992). Some results obtained are: (i) in the short run, when the regulator's salary is higher than in an alternative occupation, both the per unit cost of rent-seeking and the total rent set by regulator are highest for the same value of the relative effectiveness parameter; (ii) in the long run, an increase in the effectiveness parameter leads to a reduction in the social costs of rent seeking; (iii) in a repeated game, the equilibrium rent is lower the higher is the regulator's discount factor.     

Rent-seeking with scarce talent: A model of preemptive hiring

In a standard rent-seeking contest, players optimally employ resources in an attempt to obtain the rent. Typically, it is assumed that these resources may be hired at any desired level at some exogenous per-unit cost. In practice, these resources often consist of scarce, talented individuals. We model a rent-seeking contest with scarce talent and find that talent scarcity leads to preemptive hiring by the player receiving the larger rent. This player hires all available talent and wins the contest with probability 1. This is true even when the difference in rents is small.     

Rent dissipation when rent seekers are budget constrained

In the original Tullock (1975, 1980) game, an individual bidder's probability of winning with a bid b is proportional to b^R, where the exponent reflects economies of scale in rent seeking. Different interpretations can be given to these probabilities. First, one may view R as a reflection of the political culture. Alternatively, one may view R as a choice variable for a politician. Intuition suggests that a society with a high tolerance for the selling of political favors and politicians who are receptive to rent seeking would both induce greater rent-seeking expenditures than other societies, all else equal. This paper shows that a lower value of R can actually lead to more rent dissipation than a higher value. This paper also reinforces two points concerning rent seeking. First, the analysis confirms the robustness of under-dissipation of rents, even in the face of entry. Second, it points out the importance of distinguishing between rent-seeking expenditures and rent dissipation. When bidders must borrow, for example, total expenditure may understate rent dissipation.     

Efforts in two-sided contests

The degree of rent dissipation is studied in extended two-sided contests that involve two types of efforts. While usual contestants expend resources in trying to win the contested prize, potential recipients of the rent-seeking efforts also participate in the contest. This is due to uncertainty regarding the source of power in the contest that induces the bureaucrats to expend resources to increase their share in the rent-seeking efforts by trying to appear as the party controlling the allocation of the prize. We show that the existing theoretical and empirical studies are incomplete and may underestimate the extent of rent dissipation.     

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.     

Contests with an unknown number of contestants

This paper studies rent-seeking contests where the contestants do not know the number of actively competing contestants. Two models are compared. In the first, all players are risk neutral; in the second, all have constant absolute risk aversion. If the expected fraction of active contestants is low, an increase in the number of potential contestants increases individual rent-seeking efforts. This effect is in contrast to the complete information case where individual rent-seeking efforts decrease in the number of contestants. The effect is more likely under risk neutrality, but also possible under risk aversion. Equilibrium rent seeking efforts are lower under risk aversion if and only if the expected fraction of active contestants is low.     

Asymmetric Rent-Seeking with More than Two Contestants

This article considers a rent-seeking model with N asymmetriccontestants. Each contestant may have a different valuation ofthe rent or a different relative ability to win the rent. Oneof the N contestants is selected as the winner based onTullock's probabilistic contest rule with constant returns toscale. A pure strategy Nash equilibrium solution is obtainedand its consequences are investigated.     

Risk aversion and rent-seeking: An extension and some experimental evidence

Theoretical investigations indicate that the risk attitudes of individuals will effect the amount of rent that can be assumed to be dissipated by rent-seeking activities. Following this line of investigation we extend Hillman and Katz's work to a small numbers case and demonstrate that the degree to which a monopoly rent is dissipated is dependent upon the structure of the risk attitudes of two risk averse individuals.Our earlier laboratory results were evaluated with respect to the risk neutral Cournot-Nash predictions. However, given the uncertainty present in the rent-seeking experiment, our ability to reject these risk neutral predictions may not be, in fact, a failure for the model but a result of risk aversion. In laboratory experiments in which we control for the relative risk attitudes of individual agents, we show that risk aversion matters. The relative risk aversion of individuals affects the level of rent-seeking activity and the extent to which rents are dissipated. In our experiments, the relatively less risk averse individuals dissipated relatively more rent.     

A general model of rent seeking for public goods

This paper generalizes the model of collective rent-seeking over a public good. Expanding the rent seeker's consumption bundle to include preferences over the public good and a private good, our results suggest collective rent-seeking is positively related to group size. Although free riding exists within a group, there is not a one-for-one tradeoff. In addition, rent seeking increases with wealth. Finally, total effort expended by both groups increases if either group increases in membership size, except in the case of an extremely lopsided contest. The key condition underlying these results is that the marginal utility of the public good is not inversely related to the private good.     

The measurability of budget related rent-seeking

It has been suggested that the extent of rent-seeking expenditures arising from attempts to influence budget allocations should be estimated by the absolute magnitude of the observed changes in allocation. Instead, we argue that it is the extent of theex ante prospective changes that determine the level of rent-seeking, and that in the presence of countervailing activity these may be quite unrelated to the ex post observed values. We further argue that the traditional rent-seeking model of competition for a pre-specified rent is inappropriate in this context.     

Rent-seeking contest when the prize increases with aggregate efforts

The objective of this article is to investigate contests in which efforts are productive. Tullock's standard rent-seeking model is extended by making the rent itself increase with the aggregate efforts. A positive externality is thereby introduced into the contest, because a contender's private effort in quest of the rent generates a benefit for other contenders. Coupled with a negative externality presented in the standard rent-seeking model, the net effect on the social efficiency of the contest is a priori ambiguous. It is shown that the extended contest generates socially wasteful, excessive aggregate efforts.