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

do too many cooks always spoil the stew an experimental analysis of rent seeking and the role of a strategic buyer laboratory methods are used to evaluate the effects of institutional arrangements and rent defending activity on rent seeking auction outcomes in part nash equilibrium predictions are a useful behavioral guide as predicted more rents are dissipated in perfectly discriminating auctions where the high bidder wins than in lotteries where relative bids determine the chance of winning also as predicted the introduction of a rent defending buyer reduces social costs nevertheless the social costs of rent seeking consistently exceed predicted levels moreover individual bidding especially by buyers deviates markedly from nash predictions

on the emergence of a classic work a short history of the impact of gordon tullock s welfare costs of tariffs monopolies and theft gordon tullock s welfare costs of tariffs monopolies and theft is by now widely regarded to be a classic work in public choice however like many classic papers it was not always so highly regarded it was rejected at several journals before finding its way to print and arguably took two or three decades to be fully appreciated this paper discusses developments in the public choice and rent seeking literatures that helped bring tullock s paper to its status as a classic work in political economy

contests as selection mechanisms the impact of risk aversion abstract we investigate how individual risk preferences affect the likelihood of selecting the more able contestant within a two player tullock contest our theoretical model yields two main predictions first an increase in the risk aversion of a player worsens her odds unless she already has a sufficiently large advantage second if the prize money is sufficiently large a less able but less risk averse contestant can achieve an equal or even higher probability of winning than a more able but more risk averse opponent in a laboratory experiment we confirm both the non monotonic impact and the compensating effect of risk aversion on winning probabilities our results suggest a novel explanation for the gender gap and the optimality of limited monetary incentives in selection contests

distributional preferences in probabilistic and share contests we analyze nash equilibria of probabilistic and share contests where players have distributional preferences if players are sufficiently similar distributional preferences create multiple equilibria for the case of only mildly heterogeneous players equilibrium effort can be lower as well as higher than effort exerted by players with selfish preferences these findings can explain the following three anomalies observed in empirical tests of probabilistic and share contests the large variance of effort levels overspreading individual spending that exceeds the nash equilibrium prediction overspending and aggregate spending that exceeds the value of the prize overdissipation if players are sufficiently heterogeneous the game has a unique equilibrium that is more egalitarian than the selfish nash equilibrium it turns out that the less talented competitor may win the larger share of the prize if his inequality aversion is sufficiently strong we analyze how the equilibria evolve if the number of players becomes larger and how sequential moves influence behavior two new insights follow from the analysis of the sequential move game first sequential moves act as a coordination device in case of multiple simultaneous equilibria and second inequality aversion of the more egalitarian player can be used as a commitment device for low effort this effect can reverse the conventional wisdom that the underdog should lead

strategic entry deterrence and terrorism theory and experimental evidence using a two stage rent seeking framework we present a simple model of strategic entry terrorism deterrence and test the model using laboratory experiments our contest success function highlights the potential for strategic spillovers the theory illustrates that relative to a cooperative outcome negative externalities lead to over spending on deterrence and positive externalities lead to under spending on deterrence our experimental results are broadly consistent subjects in the negative externality treatment had higher expenditures in contrast to theoretical predictions participation decisions while primarily driven by the probability of winning a contest were influenced by a subject s ability to participate in multiple contests

risk aversion and bargaining some preliminary results game theoretic models of bargaining can be thought of as falling into two broad classes a uiomatic and strategic i in all of these models the preferences of the bargainers are represented by their von neumann morgenstern utility functions a series of recent experiments has shown that these models lack descriptive power in a number of important respects in particular very clear focal point effects have been observed of a kind that will be described in somewhat more detail below that cannot be accounted for within the framework of these classical game theoretic models at the same time the success of these classical models in the theoretical economics literature rests on the intuitively appealing qualitative predictions that they make in a variety of circumstances some of these qualitative predictions may prove to have descriptive power even though other aspects of the same model do not since these models are stated in terms of the von neumann morgenstern utilities of the bargainers their qualitative predictions are inevitably involved with the bargainers risk postures

gordon tullock and experimental economics gordon tullock s research has substantially influenced the development of economic science in general and experimental economics in particular we present the first comprehensive survey of this significant achievement we show how tullock s research in bioeconomics influenced later developments in neuroeconomics and how his pioneering work on rent seeking generated a literature of laboratory tests of his hypothesis we also describe tullock s own experiments and draw attention to his early insights on trust games

optimal prizes in dynamic elimination contests theory and experimental evidence abstract this paper investigates the implications of different prize structures on effort provision in dynamic two stage elimination contests theoretical results show that for risk neutral participants a structure with a single prize for the winner of the contest maximizes total effort while a structure with two appropriately chosen prizes a runner up prize and a final prize ensures incentive maintenance across stages in contrast a structure with two prizes may dominate a winner takes all contest in both dimensions if participants are risk averse evidence from laboratory experiments is largely consistent with these predictions suggesting that contest design should account for risk attitudes of participants

dissipation of contestable rents by small numbers of contenders the theory of rent seeking with its origins in the observations of gordon tullock 1967 or to use jagdish bhagwati s 1982 proposed term the theory of directly unproductive profit seeking activities is concerned with the potentially adverse effects on resource allocation of incentives to cap ture and defend artificially contrived rents and transfers the scope for so cial loss proposed by the theory derives from the relation between the value of a contestable prize and the value of the resources attracted into the con test to determine the beneficiary of the prize underlying this social loss is a specification of how rational behavior by optimizing agents links the value of the prize sought to the resources expended it has been traditional to assume competitive behavior in describing the activities of lobbying and influence seeking then if some further condi tions are satisfied l the total value of the resources expended precisely equals the value of the prize sought so dissipation is complete 2 conse quently the social cost associated with contestability of a rent can be in ferred from the value of the rent itself and the detailed and hard to come by information on individual outlays made in the course of the contest be comes unnecessary by basing their analyses on competitive dissipation contributors to the rent seeking literature see the review by robert tollison 1982 have been able to presume that the observed value of a contested rent is an exact measure of the associated social cost of monopoly power or regu lation similarly in the trade theoretic literature where the rights contested are to quota premia or revenues from trade taxes krueger 1974 bhagwati

two stage team rent seeking experimental analysis this paper presents a two stage team rent seeking model with a contest prize that is not excludable among winning team members when early effort is a perfect substitute for late effort early actors can free ride on their late moving teammates however when early and late efforts are complements all team members exert positive effort levels asymmetries in early effort reduce effort choices for all late movers the theory is tested with laboratory experimental methods although subjects overinvest relative to the nash equilibrium in all treatments chosen effort levels provide limited support for the model early movers exerted higher effort in the complement treatment and second stage effort choices were broadly consistent with best response functions surprisingly in both single shot and repeated play environments early movers in the substitute treatment did not free ride choosing effort levels similar to those of late movers

risk aversion and overbidding in first price sealed bid auctions new experimental evidence bidding above the risk neutral nash equilibrium in first price sealed bid auctions has traditionally been ascribed to risk aversion later studies however offer other explanations and even argue that risk aversion plays no or a minor role in a novel experimental design we directly test the relationship between risk aversion and overbidding by systematically varying the distribution of risk attitudes in auction markets we find a significant relationship between our measure of risk aversion and overbidding jel d44 c91

simultaneous decision making in competitive and cooperative environments we experimentally investigate simultaneous decision making in two contrasting environments a competitive environment a contest and a cooperative environment a voluntary contribution mechanism we find that the cooperative nature of the voluntary contribution mechanism spills over to the contest decreasing sub optimal overbidding in the contest however contributions to the public good are not affected by simultaneous participation in the contest there is a significant negative correlation between decisions made in competitive and cooperative environments i e more cooperative subjects tend to be less competitive and vice versa this correlation can be rationalized by heterogeneous social preferences towards inequality but not by bounded rationality theory

an equilibrium model of city size abstract this paper develops an equilibrium model of city size in which population distribution real prices and real wages are determined two possible modifications are considered one involving externalities the partial equilibrium changes resulting from these modifications are derived and seen to be quite different from the general equilibrium changes finally the paper suggests that site specific factors of production must be introduced into any consistent model of city size

overbidding and overspreading in rent seeking experiments cost structure and prize allocation rules we study experimentally the effects of cost structure and prize allocation rules on the performance of rent seeking contests most previous studies use a lottery prize rule and linear cost and find both overbidding relative to the nash equilibrium prediction and significant variation of efforts which we term overspreading we investigate the effects of allocating the prize by a lottery versus sharing it proportionally and of convex versus linear costs of effort while holding fixed the nash equilibrium prediction for effort we find the share rule results in average effort closer to the nash prediction and lower variation of effort combining the share rule with a convex cost function further enhances these results we can explain a significant amount of non equilibrium behavior by features of the experimental design these results contribute towards design guidelines for contests based on behavioral principles that take into account implementation features of a contest

classroom games rent seeking and the inefficiency of non market allocations economics is often taught at a level of abstraction that can hinder some students from gaining basic intuition however lecture and textbook presentations can be complemented with classroom exercises in which students make decisions and interact the approach can increase interest in and decrease skepticism about economic theory this feature offers short descriptions of classroom exercises for a variety of economics courses with something of an emphasis on the more popular undergraduate courses suggestions for future columns and comments on past ones should be sent to charles holt c o journal of economic perspectives department of economics university of virginia charlottesville virginia 22903 3288

reexamining efficient rent seeking in laboratory markets given millner and pratt s 1989 finding of behavior inconsistent with theory we reexamine efficient rent seeking in experimental markets we show that a when r 3 no nash equilibrium exists and therefore behavior has no theoretical benchmark to judge consistency and b when r 1 with a new experimental design utilizing an explicit expected payoff matrix rent seeking behavior is consistent with both nash equilibrium and dissipation hypotheses

when less is more rationing and rent dissipation in stochastic contests this paper shows how to maximize revenue when a contest is noisy we consider a case where two or more contestants bid for a prize in a stochastic contest where all bidders value the prize equally we show that whenever a tullock contest yields under dissipation the auctioneer s revenue can be increased by optimally fixing the number of tickets in particular in a stochastic contest with proportional probabilities it is possible to obtain almost full rent dissipation we test this hypothesis with a laboratory experiment the results indicate that as predicted revenue is significantly higher in a lottery with rationing than in a standard lottery on the other hand an alternative rationing mechanism that does not limit total expenditures fails to increase revenue relative to a standard lottery

controlling preferences for lotteries on units of experimental exchange in an experimental setting when outcomes are stochastically related to actions predictions of equilibrium behavior depend not only on the participants preference orderings of outcomes but also on their orderings of lotteries on outcomes as well we introduce and test a reward structure that can be utilized in any experimental setting to allow the experimenter to decree beforehand the subjects preferences for lotteries on experimental outcomes we show analytically that the proposed reward structure can induce subjects to behave as if they have the decreed preference function defined on experimental outcomes empirical tests using two different choice settings provide evidence to support this ability to control preferences

an experimental test for risk aversion abstract this paper evaluates an experimental method to measure attitudes to risk in individual subjects the method is applied to study the degree of risk aversion of 46 subjects the results lead us to reject a working hypothesis of risk neutrality for such experimental subjects

rent seeking in groups abstract rent seeking contests between groups involve conflicts of interests at the levels of individuals groups and the society as a whole we conduct a series of economic experiments to study the behavior of groups and individuals competing against each other in rent seeking contests we find substantial over contribution to rent seeking relative to the equilibrium predictions of standard models regardless whether individuals compete against other individuals groups compete against other groups or individuals compete against groups

risk averse rent seekers and the social cost of monopoly power there is now quite general recognition that the social cost of monopoly power encompasses the resources expended by individuals seeking to become the beneficiaries of monopoly rents however since the activity of rent seeking is generally not observable direct estimates of resources expended in quests to acquire monopoly power are usually impossible to come by 1 as a consequence the indirect approach of taking the observed value of monopoly rents as indicative of the unobserved value of the resources expended in rent seeking is quite generally adopted in approaches to evaluation of the social cost of such activity

an experimental investigation of efficient rent seeking the debate about the measurement of the amount of rent dissipated in rent seeking activities is unable to be answered by observations from the naturally occurring environment current theoretical investigations have indicated that a number of factors will affect the amount of rent that can be assumed to be dissipated by rent seeking the theory of efficient rent seeking predicts that the number of rent seekers their risk posture their ability to enter and exit the rent seeking process and the manner in which the probability of receiving a rent is determined will affect the amount of rent that is dissipated

formal informal sector interaction in rural credit markets abstract the majority of small cultivators in the less developed countries are not regarded as credit worthy by the formal sector financial institutions and are forced to borrow from the moneylenders in the informal credit market this paper shows that when such borrowers differ in their likelihood of default and the moneylenders are asymmetrically informed about the client specific degree of risk the policy of providing cheap credit through the formal sector can generate adverse composition effects which worsen the terms of credit and the availability of loans in the informal sector

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