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).

     

Returns to effort in rent-seeking games

In the traditional formulation of rent-seeking games, increasing returns to effort are characterized by an exponent r>1. However, when the value of the rent is normalized to 1, the players’ effort levels A and B will typically be less than 1. Thus, when A<1 and r>1, the value of A ^r decreases as r increases, contradicting the interpretation of r>1 as representing increasing returns to effort. This apparent defect in the mathematization of the problem seems to suggest that a different interpretation of r is required whenever A<1, upsetting the uniformity and elegance of the model. In this short note, we demonstrate that the perceived problem is illusory, and that the usual interpretation of r is satisfactory for all values of A.     

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.     

An analysis of rent-seeking games with relative-payoff maximizers

In this paper, we introduce relative-payoff maximizing firms into the Tullock model of rent-seeking. These firms try to realize higher (expected) payoff than other firms. As a consequence of this, the outcome of the model changes: Firms, on average, will invest more in the rent-seeking process, the rate of dissipation of the rent becomes independent of the number of rent-seekers, dissipation becomes complete in cases where underdissipation prevails in the original model.     

On the incentives to establish and play political rent-seeking games

Legislators will enact programs that encourage rent-seeking only if they can thereby increase their chances of winning election, or of receiving contributions themselves. The paper shows rent-seeking to be electorally robust — both voters and contributors will often avoid a candidate who proposes to eliminate rent-seeking. Important exceptions arise, however, if contributions are more likely to help challengers than incumbents, and if legislators prefer that some firm rather than another receive governmental contracts.I thank an anonymous referee, members of the Public Choice Study Group at UC Irvine, and Stergios Skaperdas for their comments.     

Measuring rent-seeking

Public Choice - Some 30&nbsp;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...     

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.     

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.     

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.     

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.     

Scale economies and rent-seeking in legislative parties

This paper examines equilibrium legislative party size, based upon scale economies in producing political outcomes. Political production — finding policies legislators desire and vote-trading to pass them — has strong scale economies up to, but not far beyond, a majority of the voters. Either one or two parties is efficient, but a larger number is not. A single party's optimal long-run strategy is to benefit a dominant majority by avoiding the creation of an effective second party. But short-term rent-seeking is in legislators' and leaders' interests, which eventually causes a second effective party and a stable two-party equilibrium. Estimates of party size for the U.S. Congress suggest considerable short-term rent-seeking.     

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...     

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.