the optimal allocation of prizes in tournaments of heterogeneous agents tournaments are widely used in organizations explicitly or implicitly to reward the best performing employees for example by promotion or bonuses and or to penalize the worst performing employees for example by demotion withholding bonuses or unfavorable job assignments these incentive schemes can be interpreted as various prize allocations based on the employees relative performance while the optimal prize allocation in tournaments of symmetric agents is relatively well understood little is known about the impact of the allocation of prizes on the effectiveness of tournament incentive schemes for heterogeneous agents we show that while multiple prize allocation rules are equivalent when agents are symmetric in their ability the equivalence is broken in the presence of heterogeneity under a wide range of conditions loser prize tournaments that is tournaments that award a low prize to relatively few bottom performers are optimal for the firm the reason is that low ability agents are discouraged less in such tournaments as compared to winner prize tournaments awarding a high prize to few top performers and hence can be compensated less to meet their participation constraints jel m52 j33 j24

general equilibrium with price intervention policies a computational approach abstract three alternative formulations of general equilibrium under price intervention policies are presented in a computational framework in the first minimum or ceiling prices are supported by a government marketing agency revenues are recycled to consumers in the minimum price case and losses covered by lump sum taxes in the ceiling case similarities to general equilibrium with taxes are stressed in the second sector specific minimum prices are considered similar to harris todaro equilibria in the third government price supports operate through market interventions existence is discussed numerical examples presented and possible policy applications outlined

digging for golden carrots an analysis of research tournaments contracting for research is often infeasible because research inputs are unobservable and research outcomes cannot be verified by a court sponsoring a research tournament can resolve these problems a model is presented in which contestants compete to find the innovation of highest value to the tournament sponsor the winner receives a prespecified prize the tournament game has a unique subgame perfect equilibrium free entry is not optimal because equilibrium effort by each researcher decreases in the number of contestants an optimally designed research tournament balances the probability of overshooting the first best quality level against the probability of falling short copyright 1995 by american economic association

recommender systems as mechanisms for social learning this article studies how a recommender system may incentivize users to learn about a product collaboratively to improve the incentives for early exploration the optimal design trades off fully transparent disclosure by selectively overrecommending the product or spamming to a fraction of users under the optimal scheme the designer spams very little on a product immediately after its release but gradually increases its frequency she stops it altogether when she becomes sufficiently pessimistic about the product the recommender s product research and intrinsic naive users seed incentives for user exploration and determine the speed and trajectory of social learning potential applications for various internet recommendation platforms and implications for review ratings inflation are discussed

an unintended consequence of book tax conformity a loss of earnings informativeness increasing the conformity between accounting earnings and taxable income has been proposed to improve financial reporting and curtail aggressive tax planning we find however that increasing conformity results in earnings that are less informative our inquiry exploits a unique sample of firms forced to change from the cash method to the accrual method for tax purposes thereby increasing their book tax conformity we find that these firms experienced a decrease in earnings informativeness compared to control firms unaffected by the change to our knowledge this is the first evidence of tax law changes affecting the informativeness of accounting earnings

effort levels in contests with two asymmetric players a contest is a situation in which players compete with one another by expending effort to win a prize examples abound firms compete by spending rd 26 krueger 14 posner 20 rogerson 23 appelbaum and katz 1 hillman and riley 12 hirshleifer 13 ellingsen 8 nitzan 18 and baik 2 3 have studied rent seeking contests lazear and rosen 15 o keeffe viscusi and zeckhauser 19 and rosen 24 have examined performance incentives associated with reward schemes riley 22 has analyzed the war of attrition and auctions dixit 7 has considered strategic commitments in contests with different applications these are only a part of the literature on the theory of contests despite the vast literature however the effects of asymmetries between players have not been clarified except by harris and vickers 11 who analyze in a patent race model the strategic consequences of asymmetries the purpose of this paper is to examine the effects of asymmetries between two players on individual and total effort levels in a model with a logit form probability of winning function effort levels expended by the players deserve attention effort in a rent seeking contest is interpreted as social costs and thus total effort level is a measure of economic efficiency effort in an r d contest is interpreted as r d expenditures and thus effort levels determine the expected date of invention we focus on asymmetries between the players resulting from their different valuations of the prize their different abilities to convert effort into probability of winning or both such asymmetries are common in contests for example people in different locations may receive different

the beauty of bigness on optimal design of multi winner contests abstract this paper examines the variation in total effort expended by participants when prizes are awarded in a grand contest as opposed to a number of subcontests when contestants are homogeneous under a mild and plausible condition regular contest technology a grand contest generates more effort than any set of subcontests when no restrictions are placed on the contest technology the results further demonstrate an increasing return to scale property such that each individual responds to a proportional increase in the number of contestants and the number of each prize by increasing individual effort therefore when a collection of identical subcontests forms a grand contest the total effort always increases and the grand contest leads to a higher rent dissipation rate our results apply to a wide variety of competitive activities such as high profile sports e g diving and gymnastics in the olympic games the internal labor market and the quota system for public resource allocation

self selection and the efficiency of tournaments when exogenously imposed rank order tournaments have incentive properties but their overall efficiency is reduced by a high variance in performance bull schotter and weigelt 1987 however since the efficiency of performance related pay is attributable both to its incentive effect and to its selection effect among employees lazear 2000 it is important to investigate the ex ante sorting effect of tournaments this paper reports results from an experiment analyzing whether allowing subjects to self select into different payment schemes helps in reducing the variability of performance in tournaments we show that when the subjects choose to enter a tournament the average effort is higher and the between subject variance is substantially lower than when the same payment scheme is imposed sorting is efficiency enhancing since it increases the homogeneity of the contestants we suggest that the flexibility of the labor market is an important condition for a higher efficiency of relative performance pay

contests with multiple rounds this paper studies contests where players have the flexibility to add to their previous efforts after observing their rivals most recent effort in an intermediate stage it is found that 1 contrary to previous findings the stackelberg outcome where the underdog leads and the favorite follows cannot be an equilibrium 2 there are multiple subgame perfect equilibria all occurring on the underdog s usual one shot reaction function in between and including the one shot cournot nash and stackelberg outcome with the favorite leading 3 the total equilibrium effort is typically greater than or equal to what a one shot cournot nash play would predict and 4 in settings where players can choose whether or not to disclose their early actions to the rival both the favorite and the underdog disclose in equilibrium applications in sports lobbying and r d races are discussed

patenting in the shadow of competitors this article empirically examines the patenting behavior of new biotechnology firms that have different litigation costs i show that firms with high litigation costs are less likely to patent in subclasses with many other awards particularly those of firms with low litigation costs this pattern is consistent with the literature on costly litigation which suggests that firms that have high litigation costs will take greater precautions to avoid litigation these results are robust to a variety of control variables and modifications that seek to test alternative explanations

designing optimal sales contests a theoretical perspective sales contests are commonly used by firms as a short term motivational device to increase salespeople s efforts conceptually sales contests and piece rate schemes such as salary commission or quotas differ in that in sales contests payment to salespeople is based on relative rather than absolute sales levels using the agency theoretic framework where the firm is risk neutral and the salespeople are risk averse we examine how a firm should design an optimal contest to maximize its profit through stimulating salespeople s efforts specifically we investigate how many salespeople should be given awards and how the reward should be allocated between the winners three commonly used sales contest formats are studied in the first format termed as rank order tournament there are many winners and the amount of reward is based on relative rank achieved with larger amounts awarded to higher ranks we also examine two special cases of rank ordered tournament a multiple winners format where the reward is shared equally and a winner take all format where a single winner gets the entire reward we model salespeople s behavior by considering utility of the reward from achieving one of the winning ranks in the contest and assessing incremental chances of winning by exerting more effort the analysis was done for two situations based on whether the total reward is large enough for salespeople to participate in the effort maximizing sales contest or not the analysis shows that factors impacting contest design include the salespeople s degree of risk aversion number of salespeople competing in the contest and degree of sales uncertainty which reflects strength of the sales effort relationship the results show that salespeople exert lower effort when there are larger numbers of participants or when sales uncertainty is high we find that the rank order tournament is superior to the multiple winners contest format in a multiple winners format the salesperson whose performance is just sufficient to win is better off than any of the other winners as he exerts the least effort to win but obtains as high a reward as any other winners specific recommendations on contest designs are obtained assuming that sales follow either a logistic or uniform distribution assuming that sales outcome is logistically distributed and the contest budget is high enough to ensure participation our analysis shows that the total number of winners in a sales contest should not exceed half the number of the contestants this result is due to the symmetric nature of the logistic distribution our analysis also indicates that the total number of winners should be increased and the spread decreased when salespeople are more risk averse when salespeople are more risk averse their marginal values for higher rewards become smaller the spread should increase with ranks when rate of risk tolerance is high and decrease with ranks when the rate of risk tolerance is lower in the extreme case of risk neutral salespeople the optimal design is a winner take all format we also conclude that since the probability of winning the contest decreases with number of contestants the optimal number of winners should increase and interrank spread decrease when there are a larger number of participants if the firm does not allocate a large enough budget for salespeople to participate in the effort maximizing sales contest then the firm may increase the number of winners to more than half the sales force increasing the number of winners and decreasing the spread are required to encourage the salespeople to participate particularly when there are many participants who are risk averse a counterintuitive result is that the number of winners should be reduced and the spread increased when sales uncertainty is high increasing sales uncertainty leads to lower equilibrium effort levels while keeping the expected utility of the contest rewards the same therefore increased uncertainty results in higher participation incentive the firm should thus relatively reduce the number of winners in high uncertainty situations under the assumption of uniformly distributed sales the recommendation is that a winner take all contest induces maximum efforts regardless of the level of risk aversion number of players or the degree of uncertainty when the winner take all format does not meet the participation constraint our analysis recommends offering a big reward to the top salesperson and a small reward to many other sales people the small reward should be just sufficient to ensure that all salespeople participate consistent with logistic distribution the spread should decrease when salespeople are more risk averse or there are more players but should increase when sales uncertainty is larger these results highlight that some of the conclusions drawn may be sensitive to distributional assumptions

a multi winner nested rent seeking contest 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 go on to suggest an alternative method for analyzing the contest in contrast to the previous work we show that the value of the rent is fully dissipated in equilibrium as the number of players becomes large

multiperson tournaments an experimental examination modern hierarchical organizations like corporations must motivate agents to work hard given their pyramid structure it is not surprising that one commonly used motivator is the promotion tournament in such tournaments agents compete to advance to positions at higher organizational levels though these tournaments are common little research has empirically looked at the interface of organizational structure and tournament design this paper aims to take a step in filling this void by comparing the performance of various tournament designs using controlled laboratory techniques

inventory pooling under heavy tailed demand risk pooling has been studied extensively in the operations management literature as the basic driver behind strategies such as transshipment manufacturing flexibility component commonality and drop shipping this paper explores the benefit of risk pooling in the context of inventory management using the canonical model first studied in eppen eppen gd 1979 effects of centralization on expected costs in a multi location newsboy problem management sci 25 5 498 501 specifically we consider a single period multilocation newsvendor model where n different locations face independent and identically distributed demands and linear holding and backorder costs we show that eppen s celebrated result i e that the expected cost savings from centralized inventory management scale with the square root of the number of locations depends critically on the light tailed nature of the demand uncertainty in particular we establish that the benefit from pooling relative to the decentralized case in term

the optimal prize structure of symmetric tullock contests we show that the optimal prize structure of symmetric n player tullock tournaments assigns the entire prize pool to the winner provided that a symmetric pure strategy equilibrium exists if such an equilibrium fails to exist under the winner take all structure we construct the optimal prize structure which improves existence conditions by dampening efforts if no such optimal equilibrium exists no symmetric pure strategy equilibrium induces positive efforts

book tax conformity earnings persistence and the association between earnings and future cash flows abstract calls for eliminating differences between accounting earnings and taxable income in the us have been debated extensively proponents of increased book tax conformity argue that tax compliance will increase and earnings quality will improve opponents argue that earnings quality will decline we examine whether the level of required book tax conformity affects earnings persistence and the association between earnings and future cash flows we develop a comprehensive book tax conformity measure and find that earnings have lower persistence and a lower association with future cash flows when conformity is higher our evidence suggests that increased book tax conformity may reduce earnings quality

tax incidence analysis of developing countries an alternative view misleading conclusions can be drawn from studies of tax incidence that ignore the special features of developing countries incorporating these features can sometimes reverse the incidence pattern of taxes relative to what is often taken to be conventional wisdom even where patterns are not reversed quantitative differences can be substantial the newer views of incidence have implications for tax restructuring options being considered in several developing countries the proposed restructuring may appear to lead only to a more regressive tax system because of improper incidence analysis copyright 1991 by oxford university press

tournaments and office politics evidence from a real effort experiment in many environments tournaments can elicit more effort from workers except perhaps when workers can sabotage each other because it is hard to separate effort ability and output in many real workplace settings the empirical evidence on the incentive effect of tournaments is thin there is even less evidence on the impact of sabotage because real world acts of sabotage are often subtle manifestations of subjective peer evaluation or office politics we discuss a real effort experiment in which effort quality adjusted output and office politics are compared under piece rates and tournaments our results suggest that tournaments increase effort only in the absence of office politics competitors are more likely to sabotage each other in tournaments and as a result workers actually provide less effort simply because they expect to be the victims of sabotage adjusting output for quality with the rating of an independent auditor shrinks the incentive effect of the tournament even further since output tends to become more slipshod

contests for experimentation we study contests for innovation with learning about the innovation s feasibility and opponents outcomes we characterize contests that maximize innovation when the designer chooses a prize sharing scheme and a disclosure policy a public winner takes all contest dominates public contests where any success is immediately disclosed with any other prize sharing scheme as well as winner takes all contests with any other disclosure policy yet jointly modifying prize sharing and disclosure can increase innovation in a broad class of mechanisms it is optimal to share the prize with disclosure following a certain number of successes under simple conditions a hidden equal sharing contest is optimal

sharing productive knowledge in internally financed r d contests we examine the optimal design of two stage research and development r d joint ventures at the second stage researchers choose r d effort levels independently in an attempt to achieve an innovation in the first stage researchers have an opportunity to share endowments of productive knowledge initial pecuniary resources are limited so rewards for disclosing knowledge and succeeding at the second stage must be financed from successful innovation we derive conditions under which full sharing of knowledge and the socially desired levels of r d effort can be motivated and examine the optimal incentive structure when this ideal outcome cannot be implemented full sharing will always be motivated at the first stage but inefficient r d effort will be induced to foster information sharing

economic contests comparative reward schemes contests are situations in which an individual s reward depends on his performance relative to others students are graded on a curve the candidate with the most votes gets the political office the underling who performs best is promoted to the executive position contests are useful in dealing with indivisible rewards reducing monitoring costs and minimizing risks from common uncertainties they are employed to sort potential participants and once they have entered to induce appropriate effort from them with monitoring precision and prize spreads as potential choice variables optimal contest structures are derived for fair and unfair contests among equal and unequal participants the converse problems of climbing low ability individuals enter the contest designed for high ability candidates and slumming are shown to be manageable

contest functions theoretical foundations and issues in estimation contest functions alternatively contest success functions determine probabilities of winning and losing as a function of contestants e ort they are used widely in many areas of economics that employ contest games from tournaments and rent seeking to conflict and sports we first examine the theoretical foundations of contest functions and classify them into four types of derivation stochastic axiomatic optimally derived and microfounded the additive form which includes the ratio or tullock functional form can be derived in all four di erent ways we also explore issues in the econometric estimation of contest functions including concerns with data endogeneity and model comparison

evidence for the possible information loss of conforming book income and taxable income abstract recent corporate accounting reporting scandals and aggressive corporate tax shelters have led for calls for regulatory reform one such call is to conform or reduce the gap between the calculation of book and taxable income proponents of conformity focus on perceived benefits while ignoring possible costs we examine one possible cost the loss in information content to investors if one measure is removed from the information set we provide evidence for this possible loss by examining the relative and incremental information content over the past 20 years of book and estimated taxable income for a large sample of firms we find that book income exhibits significantly greater relative explanatory power while both exhibit significant incremental explanatory power conforming the two measures at a minimum results in the loss of incremental explanatory power and if book income is conformed to the tax rules a 50 percent loss in the explanatory power of earnings

learning while voting determinants of collective experimentation this paper combines dynamic social choice and strategic experimentation to study the following question how does a society a committee or more generally a group of individuals with potentially heterogeneous preferences experiment with new opportunities each voter recognizes that during experimentation other voters also learn about their preferences as a result pivotal voters today are biased against experimentation because it reduces their likelihood of remaining pivotal this phenomenon reduces equilibrium experimentation below the socially efficient level and may even result in a negative option value of experimentation however one can restore efficiency by designing a voting rule that depends deterministically on time another main result is that even when payoffs of a reform are independently distributed across the population good news about any individual s payoff increases other individuals incentives to experiment with that reform due to a positive voting externality

tournament rewards and heavy tails abstract heavy tailed fluctuations are common in many environments such as sales of creative and innovative products or the financial sector we study how the presence of heavy tails in the distribution of shocks affects the optimal allocation of prizes in rank order tournaments a la lazear and rosen 1981 while a winner take all prize schedule maximizes aggregate effort for light tailed shocks prize sharing becomes optimal when shocks acquire heavy tails increasingly so following a skewness order extreme prize sharing rewarding all ranks but the very last is optimal when shocks have a decreasing failure rate such as power laws hence under heavy tailed uncertainty typically associated with strong inequality in the distribution of gains providing incentives and reducing inequality go hand in hand

interim performance feedback in multistage tournaments the optimality of partial disclosure workers competing in a tournament for a prize e g a promotion often perform sequentially in multiple stages when the firm is privately informed about the workers performance it can sharpen incentives by strategically disclosing the intermediate results but the policies that enhance final stage effort may dampen incentives at the intermediate stage in our model the optimal disclosure policy has a simple form disclose only if all workers perform poorly this result offers a novel justification for partial disclosure in performance feedback also it contrasts with the existing literature that focuses on the extreme policies of full disclosure and no disclosure

contracting with repeated moral hazard and private evaluations a repeated moral hazard setting in which the principal privately observes the agent s output is studied the optimal contract for a finite horizon is characterized and shown to require burning of resources these are only burnt after the worst possible realization sequence and the amount is independent of both the length of the horizon and the discount factor for the infinite horizon it is shown that there is no loss from restricting the analysis to contracts in which the agent receives a constant efficiency wage and no feedback until he is fired furthermore optimal contracts cannot be replicated by short term contracts a family of fixed interval review contracts is characterized longer review intervals are preferable but harder to implement comparative statics on the review length are carried out finally these contracts are shown approximate first best if players are very patient jel d82 d86

quitters never win the adverse incentive effects of competing with superstars internal competition may motivate worker effort yet the benefits of competition may depend critically on workers relative abilities large skill differences may reduce efforts i use panel data from professional golf tournaments and find that the presence of a superstar is associated with lower performance on average golfers first round scores are approximately 0 2 strokes worse when tiger woods participates relative to when woods is absent the overall tournament effect is 0 8 strokes the adverse superstar effect varies with the quality of woods s play there is no evidence that reduced performance is attributable to media attention intensity or risky strategy adoption

multiple prize contests the optimal allocation of prizes abstract multiple prize contests are important in various fields of economics ranging from rent seeking over labour economics patent and r d races to tendering for governmental projects hence it is crucial to understand the incentive effects of multiple prizes on effort investment this survey attempts to outline compare and evaluate the results from the literature while a first prize always results in a positive incentive to invest effort second and later prizes lead to ambiguous effects depending on the objective function the characteristics of the individuals and the type of contest a different prize allocation is optimal

the information content of losses abstract this study hypothesizes that because shareholders have a liquidation option losses are not expected to perpetuate they are thus less informative than profits about the firm s future prospects the results are consistent with the hypothesis they also show that the documented increase in the earnings response coefficent as the cumulation period increases appears to be due exclusively to the effect of losses the liquidation option effect extends to profitable cases where earnings are low enough to make the option attractive alternating explanations for the low informativeness of losses such as mean reversal of earnings are not supported by the tests

financial reporting tax costs and book tax conformity abstract we investigate the role of book tax conformity in firms financial reporting activities using a unique set of publicly traded firms that were forced to switch for tax purposes from the cash method to the accrual method prior to the mandated change little trade off existed between tax planning and financial reporting goals for these firms after the change recognition criteria for tax and financial reporting purposes became more alike increasing the trade off between financial reporting and tax objectives our results suggest that required use of the accrual method for tax purposes causes firms to defer income for financial statement purposes

asymmetric tournaments equal opportunity laws and affirmative action some experimental results this paper assesses whether affirmative action programs and equal opportunity laws affect the output of economic agents more precisely we find that equal opportunity laws and affirmative action programs always benefit disadvantaged groups equal opportunity laws also increase the effort levels of all subjects and hence the profits of the tournament administrator usually the firm the effects of affirmative action programs depend on the severity of a group s cost disadvantage when the cost disadvantage is severe these programs significantly increase effort levels and hence profits the opposite is true when the disadvantage is slight

how many winners are good to have on tournaments with sabotage abstract from an employer s perspective a tournament should induce agents to exert productive activities but refrain from destructive ones we experimentally test the predictive power of a tournament model which suggests that within a reasonable framework productive and destructive activities are influenced neither by the number of agents taking part in the tournament nor by the fraction of the winner prizes our results clearly confirm that sabotage in tournaments indeed occurs while tournament size has virtually no effect on behavior a balanced fraction of winner and loser prizes appears to enhance productive activities

corporate income tax incidence in the presence of sector specific unemployment abstract this paper explores the implications of sector specific unemployment in the analysis of the corporate income tax incidence the analysis builds on a modified harris todaro framework in which the corporate wage is indexed to commodity prices while the noncorporate wage is flexible we present the sufficient conditions under which a tax burden falls more heavily upon capital and contrast them with the original harberger results also examined in this paper is the incidence of unemployment benefits and their effects on the unemployment rate

up or out rules in the market for lawyers we examine how up or out rules operate as a screening device in the market for lawyers using data on large new york law firms we show that firm growth is a slow and uncertain process because performance as an associate is not an especially informative signal about whether a lawyer will make a good partner and because the costs of mistaken promotion are relatively high a newly hired associate is unlikely to be a suitable partner and the screening process is relatively imprecise firm growth therefore contributes between 5 7 of the present value of profits of a law firm

dynamic r d competition with learning to account for the possibility that firms are unsure about the ease of innovation we formulate a differential game of r d competition with an unknown hazard rate we show as time passes with success firms become more pessimistic about eventual innovation reducing their r d investment and possibly exiting the race an increase in the number of competing firms tends to increase firms r d intensities for given beliefs but because beliefs evolve at different rates depending on the number of firms in the race time paths of r d investment intensity are not unambiguously ordered with respect to the number of competing firms

incidence analysis of a sector specific minimum wage in a two sector harris todaro model in this paper we explore the incidence of a sector specific minimum wage in a two sector harris todaro model with intersectorally mobile capital in addition to the output and substitution effects in harberger s tax incidence analysis an additional effect reflecting the endogenously generated unemployment arises in the harris todaro case we also explore the functional incidence issue numerically for mexico by using general equilibrium computational techniques in a number of the calculations reported capital more than bears the income loss from unemployment caused by the sector specific minimum wage

optimal tournament contracts for heterogeneous workers abstract we consider a rank order tournament between workers with different abilities under malcomson s self commitment property the employer optimally uses individual tournament prizes to extract rents from the workers without the self commitment property individual prizes are used to make the asymmetric competition less uneven by discriminating against the more able worker i e he is offered a lower winner prize than the less able worker in this spirit individual prizes serve as a substitute for handicaps

negatively correlated bandits we analyse a two player game of strategic experimentation with two armed bandits either player has to decide in continuous time whether to use a safe arm with a known pay off or a risky arm whose expected pay off per unit of time is initially unknown this pay off can be high or low and is negatively correlated across players we characterize the set of all markov perfect equilibria in the benchmark case where the risky arms are known to be of opposite type and construct equilibria in cut off strategies for arbitrary negative correlation all strategies and pay offs are in closed form in marked contrast to the case where both risky arms are of the same type there always exists an equilibrium in cut off strategies and there always exists an equilibrium exhibiting efficient long run patterns of learning these results extend to a three player game with common knowledge that exactly one risky arm is of the high pay off type

the optimal allocation of prizes in contests we study a contest with multiple not necessarily equal prizes contestants have private information about an ability parameter that affects their costs of bidding the contestant with the highest bid wins the first prize the contestant with the second highest bid wins the second prize and so on until all the prizes are allocated all contestants incur their respective costs of bidding the contest s designer maximizes the expected sum of bids our main results are 1 we display bidding equlibria for any number of contestants having linear convex or concave cost functions and for any distribution of abilities 2 if the cost functions are linear or concave then no matter what the distribution of abilities is it is optimal for the designer to allocate the entire prize sum to a single first prize 3 we give a necessary and sufficient conditions ensuring that several prizes are optimal if contestants have a convex cost function

incidence analysis of financing unemployment benefits in a partially unionized economy the incidence of unemployment benefits are analysed under alternative financing modes in a two sector general equilibrium model with a segmented labour market where one sector is unionized and queue unemployment exists specific tax incidence as well as balanced budget incidence are analysed the main results are i the distributional effects are identical irrespective of which factor is taxed in the union sector ii the distributional effects are also identical irrespective of which factor is taxed in the non union sector and iii labour gains by a uniform ui tax on capital in both sectors and may or may not gain from a uniform labour tax while capital owners lose in both cases thus what matters for the incidence outcome is which sector and not which factor that is taxed

auctionin entry into tournaments a research tournament model with heterogeneous contestants is presented for a large class of contests the optimal number of competitors is two this insight makes designing the tournament easier and highlights the importance of selecting highly qualified contestants while customary uniform price and discriminatory price auctions are intuitively appealing mechanisms for solving this adverse selection problem in practice they generally will not be efficient mechanism for selecting contestants instead we propose an alternative auction format that is equally simple to implement and efficiently selects the most qualified contestants to compete regardless of the form of contestant heterogeneity

justifying the first order approach to principal agent problems it is of interest to know when the incentive compatibility conditio n in principal agent problems can be replaced by the condition that the agent s expected utility be stationary in effort the mirrlees rogerson conditions do not work if the principal can observe more than one observable statistic also the mirrlees rogerson assumption that the distribution function of output is convex in the agent s action is unsatisfactory even in the context of the basi c model it is too restrictive the paper presents a suite of conditio ns that are applicable to the multistatistic case and replaces the objectionable convex distribution function assumption copyright 1988 by the econometric society

on the moral hazard problem without the first order approach abstract we study the moral hazard problem without the first order approach or other common structure we present sufficient conditions under which the shadow value of simultaneously tightening the minimum payment and individual rationality constraints has a simple and intuitive expression we then show how this expression can be used to perform comparative statics exercises in which we study i the effect of a change in the agent s wealth on the well being of the principal and ii the effects of the outside option and minimum payment on the effort level optimally implemented

personnel economics past lessons and future directions presidential address to the society of labor economists san francisco may 1 1998 in 1987 the journal of labor economics published an issue on the economics of personnel since then personnel economics defined as the application of labor economics principles to business issues has become a major part of labor economics now accounting for a substantial proportion of papers in this and other journals much of the work in personnel economics has been theoretical in large part because the data needed to test these theories have not been available in recent years a number of firm based data sets have surfaced that allow personnel economics to be tested using two such data sets i give support to the implications of theories that relate to life cycle incentives tournaments piecework incentives pay compression and peer pressure i conclude that personnel economics is real it is far more than a set of clever theories it has relevance to the real world additionally firm based data make asking and answering new kinds of questions feasible the value of research in this area is h

the provision of incentives in firms i ncentives are the essence of economics despite many wide ranging claims about their supposed importance there has been little empirical assessment of incentive provision for workers the purpose of this paper is to critically overview existing work on the provision of incentives since the interests of workers and their employers are not always aligned a large theoretical literature has emphasized how firms design compensation contracts to induce employees to operate in the firm s interest this literature has reached into many areas of compensation and has pointed to a multitude of different mechanisms that can be used to induce workers to act in the interests of their employers these include piece rates options discretionary bonuses promotions profit sharing efficiency wages deferred compensation and so on my objective here is to evaluate this literature in the light of a growing empirical literature on compensation where possible i will address the literature from two perspectives first an underlying assumption of this literature is that individuals respond to contracts that reward performance accordingly i consider whether agents behave in this way and whether these responses are always in the firm s interest second i address whether firms write contracts with these responses in mind in other words do contracts look like the predictions of the theory incentives are provided to workers

venture capital financing moral hazard and learning we consider the provision of venture capital in a dynamic agency model the value of the venture project is initially uncertain and more information arrives by developing the project the allocation of the funds and the learning process are subject to moral hazard the optimal contract is a time varying share contract which provides intertemporal risk sharing between venture capitalist and entrepreneur the share of the entrepreneur reflects the value of a real option the option itself is based on the control of the funds the dynamic agency costs may be high and lead to an inefficient early stopping of the project a positive liquidation value explains the adoption of strip financing or convertible securities finally relationship financing including monitoring and the occasional replacement of the management improves the efficiency of the financial contracting

optimal contracts for experimentation this paper studies a model of long term contracting for experimentation we consider a principal agent relationship with adverse selection on the agent s ability dynamic moral hazard and private learning about project quality we find that each of these elements plays an essential role in structuring dynamic incentives and it is only their interaction that generally precludes efficiency our model permits an explicit characterization of optimal contracts

biased contests for symmetric players in a biased contest one of the players has an advantage in the winner determination process we characterize a novel class of biased contest success functions pertaining to such contests and provide necessary and sufficient conditions for zero bias to be a critical point of arbitrary objectives satisfying certain symmetry restrictions we however challenge the common wisdom that unbiased contests are always optimal when contestants are symmetric ex ante or even ex post we show that contests with arbitrary favorites i e biased contests of symmetric players can be optimal in terms of various objectives such as expected aggregate effort the probability to reveal the stronger player as the winner or expected effort of the winner

optimal design of research contests procurement of an innovation often requires substantial effort by potential suppliers motivating effort may be difficult if the level of effort and quality of the resulting innovation are unverifiable if innovators cannot benefit directly by marketing their innovations and if the buyer cannot extract up front payments from suppliers we study the use of contests to procure an innovation in such an environment an auction in which two suppliers are invited to innovate and then bid their prizes is optimal in a large class of contests if contestants are asymmetric it is optimal to handicap the most efficient one

carrots and sticks prizes and punishments in contests i introduction contests are widely used to model political lobbying sports competitions job promotions and r d races in most cases the contest s organizer has some control over the structure of rewards and punishments teachers determine who passes and who fails the exam a company sets rules about promotions and layoffs and sport governing bodies choose the number of teams advancing to a higher league and the number of those relegated to a lower one in this paper we characterize the optimal prize structure in a contest where the designer can use both rewards carrots and punishments sticks in order to motivate participants to exert effort 1 although both rewards and punishments are part of many existing incentive contracts the literature on contests focused on the incentive role of rewards because a contest that uses some punishments can be replicated by one that uses only rewards and yields the same incentives but this equivalence breaks down if the contest designer faces a budget constraint and if both rewards and punishments are costly the main focus of the present paper is to study contest design when the designer is budget constrained and it is costly to punish or reward players costly punishments appear in many situations for example in labor tournaments a firm usually incurs costs when firing workers who perform poorly e g worker compensation production disruption loss of clients and usually face search and replacement costs e g think about a faculty denying tenure to some candidates in other instances punishments are less costly to implement e g relegation in sport tournaments and we also briefly deal with this set up we assume here that the designer has a limited budget which means that costly punishments cannot be arbitrarily high subject to her budget constraint the designer determines the number and size of prizes punishments in order to maximize the participants expected total effort in particular some prizes can be positive rewards or negative punishments given the prize structure players choose their effort levels in order to maximize their expected payoff it is important to note that in a contest with n participants the marginal effect of each of n prizes on the participants total effort is different and can be either positive or negative if the marginal effect of the k th prize is positive its value given a budget constraint should be positive reward or zero and if the marginal effect is negative its value should be negative punishment or zero thus given that the contest designer has a limited budget he will prefer to distribute the entire prize sum to the prize with the highest marginal effect on the participants total effort relative to its cost in this paper we show that the relative effectiveness of punishments compared to rewards crucially depends on the curvature of the distribution of player abilities exploiting results about normalized spacings among order statistics developed by barlow and prochan 1966 we first revisit one of the main results in moldovanu and sela 2001 if punishment is not feasible the optimal prize structure offers a single reward to the top performer if rewards are not feasible we then show that the designer should only punish the player with the lowest performance if the distribution of abilities has an increasing hazard or failure rate if this last condition is not satisfied more punishments may be optimal if the designer can punish as well as reward the optimal prize structure will depend on the relative marginal cost of punishments and on the distribution of the players abilities for example if the marginal cost of punishments is the same as the marginal cost of rewards it is optimal to punish the worst performing player if the distribution of abilities is convex if that player is punished even high types will work hard to avoid performing worst because they know that there is a relatively high probability that competitors also have high types

the incentive effect of coarsening the competition structure in a tournament the incentive effect of coarsening the competition structure in a tournament is studied by coarsening the competition structure we mean that coarser performance measure is used while finer information is available examples include letter grades or grade classes when finer numeric grades are available coarsening the competition structure has two countervailing incentive effects while it reduces the likelihood that marginal effort changes the result the reward change will be bigger once the result is changed we provide a sufficient condition on the performance distribution for the reduction of work incentive by coarsening log concavity of the density

designing multiperson tournaments with asymmetric contestants an experimental study is the right amount of effort exerted in multiperson tournaments where contestants have two different levels of initial endowments termed favorites and underdogs we develop theoretical predictions for the level of effort and the effect of varying the prize structure we test these predictions for three person tournaments using an economic experiment in a social environment where contest outcomes are publicly announced we find that both favorites and underdogs overexert effort relative to the theoretical point predictions moreover in the treatment with two favorites and one underdog favorites increase their effort when the number of prizes is increased from one to two contrary to the theory prediction we show that a generalized model that allows for psychological losses from losing for favorites and psychological gains from winning for underdogs because of social comparisons tracks the experimental results better than the standard theoretical model this paper was accepted by peter wakker decision analysis

some economic determinants of time series properties of earnings abstract the earnings time series literature in accounting focuses on the statistical characteristics of the processes which generate corporate earnings in order to further our understanding of earnings behavior this study investigates the question whether inter firm differences in these statistical characteristics autocorrelations and variances of earnings changes can be explained by economic factors various relationships between economic factors and earnings behavior are derived from the economic literature and examined empirically in this study findings indicate that autocorrelations and variability of annual earnings and earnings over equity changes are systematically associated with the following factors the type of product the height of industry barriers to entry a surrogate for degree of competition the degree of capital intensity operating leverage and the firm size

workaholics and dropouts in organizations this paper reports the results of experiments designed to test the theory of the optimal composition of prizes in contests in the aggregate the behavior of subjects is consistent with that predicted by the theory but we find that such aggregate results mask an unexpected compositional effect on the individual level whereas theory predicts that subject efforts are continuous and increasing functions of ability the actual efforts of our laboratory subjects bifurcate lowability workers drop out and exert little or no effort and high ability workers try too hard this bifurcation which is masked by aggregation can be explained by assuming loss aversion on the part of the subjects jel c92 d44 d72 d82 j31

the effort effects of prizes in the second half of tournaments abstract the theory of tournaments predicts that a worker s effort depends on the difference between the winning and losing prizes as well as the degree that increases in effort affect the probability of winning this paper tests these predictions using a data set from arabian horse racing jockeys increase their efforts lower their times in the second half of races when the amount of prize money lost by dropping a place is greater and when there is less distance between them and their closest competitors these findings are consistent with the theory

all pay contests this paper studies a class of games all pay contests which capture general asymmetries and sunk investments inherent in scenarios such as lobbying competition for market power labor market tournaments and r d races players compete for one of several identical prizes by choosing a score conditional on winning or losing it is weakly better to do so with a lower score this formulation allows for differing production technologies costs of capital prior investments attitudes toward risk and conditional and unconditional investments among others i provide a closed form formula for players equilibrium payoffs and analyze player participation a special case of contests is multiprize complete information all pay auctions

drive out fear unless you can drive it in the role of agency and job security in process improvement understanding the wide range of outcomes achieved by firms trying to implement total quality management tqm and similar process improvement initiatives presents a challenge to management theory a few firms reap sustained benefits from their programs but most efforts fail and are abandoned in this paper i study one dimension of this phenomenon the role of impending layoffs in determining employee commitment to process improvement currently the literature provides two opposing theories concerning the effect of job security on the ability of firms to implement change initiatives the drive out fear school argues that firms must commit to job security while the drive in fear school emphasizes the positive role that insecurity plays in motivating change in this study a contract theoretic model is developed to analyze the role of agency in process improvement the main insight of the study is that there are two types of job security internal and external that have opposing impacts on the firm s ability to implement improvement initiatives the distinction is useful in explaining the results of different case studies and can reconcile the two change theories

orchestrating rent seeking contests contests have different sometimes quite complex organisational structures in particular while most of the existing literature focusses on simultaneous contests multistage contests are also quite frequently encountered this paper seeks to provide a rationale for the latter by endogenising the choice of a contest structure which is made by an organiser of a contest interested in maximising the efforts expended by the contenders

the financing of innovation learning and stopping we consider the financing of a research project under uncertainty about the time of completion and the probability of eventual success we distinguish between two financing modes namely relationship financing where the allocation decision of the entrepreneur is observable and arm s length financing where it is unobservable we find that equilibrium funding stops altogether too early relative to the efficient stopping time in both financing modes the rate at which funding is released becomes tighter over time under relationship financing and looser under arm s length financing the tradeoff in the choice of financing modes is between lack of commitment with relationship financing and information rents with arm s length financing

revenue equivalence in asymmetric auctions abstract the revenue equivalence theorem is generalized to the case of asymmetric auctions in which each player s valuation is drawn independently from a common support according to his her distribution function

executive compensation and tournament theory empirical tests on danish data this article adds to the empirical literature on tournament theory as a theory of executive compensation i test several propositions of tournament models on a rich data set containing information about 2 600 executives in 210 danish firms during a 4 year period i ask are pay differentials between job levels consistent with relative compensation is pay dispersion between levels higher in noisy environments is the dispersion affected by the number of tournament participants is average pay lower in firms with more compressed pay structures does wider pay dispersion enhance firm performance most of the predictions gain support in the data

designing sales contests does the prize structure matter abstract sales contests are short term incentives that managers use to raise sales effort the extant marketing theory predicts that the optimal prize structure should have two characteristics 1 the number of prizewinners should be greater than one and 2 prize values should be unique and rank ordered however this theory has not been empirically examined this article presents two empirical studies that examine whether the prize structure of a sales contest affects sales performance in each study the authors investigate the incremental effects of introducing multiple prizewinners and unique rank ordered prizes into a sales contest the first study consists of two laboratory experiments in which participants make decisions that closely reflect the decision trade offs in the theoretical model of sales contests the second study consists of two field economic experiments in which trained salespeople sell fundraising sponsorships to companies the results across the experiments are remarkably consist

overconfidence and excess entry an experimental approach psychological studies show that most people are overconfident about their own relative abilities and unreasonably optimistic about their futures e g shelly e taylor and j d brown 1988 neil d weinstein 1980 when assessing their position in a distribution of peers on almost any positive trait like driving ability ola svenson 1981 income prospects or longevity a vast majority of people say they are above the average although of course only half can be if the trait is symmetrically distributed this paper explores whether optimistic biases could plausibly and predictably influence economic behavior in one particular setting entry into competitive games or markets many empirical studies show that most new businesses fail within a few years for example using plant level data from the u s census of manufacturers spanning 1963 1982 timothy dunne et al 1988 estimated that 61 5 percent of all entrants exited within five years and 79 6 percent exited within 10 years most of these exits are failures see also dunne et al 1989a 1989b d shapiro and r s khemani 1987

experimentation and project selection screening and learning firms must strike a delicate balance between the exploitation of well known business models and the exploration of risky untested approaches in this paper we study financial contracting between an investor and a firm with private information about its returns from exploration and exploitation the investor optimal mechanism offers contracts with different tolerance for failures to screen returns from exploitation and with different exposure to the project s revenues to screen returns from exploration we derive necessary and sufficient conditions for private information about returns from exploration to have zero value to the firm when these conditions fail private information about exploration may even decrease the firm s payoff

learning and information aggregation in an exit game we analyze information aggregation in a stopping game with uncertain common payos players learn from their own private experiences as well as by observing the actions of other players we give a full characterization of the symmetric mixed strategy equilibrium and show that information aggregates in randomly occurring exit waves observational learning induces the players to stay in the game longer the equilibria display aggregate randomness even for large numbers of players

novelty and disclosure in patent law the stringency of the novelty requirement in patent law affects the pace of innovation because it affects the amount of technical information that is disclosed among firms it also affects ex ante profitability of research we compare weak and strong novelty requirements from the standpoint of social efficiency we ask how our answer depends on the rule that determines which firm gets a patent when two firms have patents pending on the same technology the possible rules are first to invent which applies in the u s and first to file which applies everywhere else

the theory of moral hazard and unobservable behaviour part i principal agent models are studied in which outcomes conditional on the agent s action are uncertain and the agent s behaviour therefore unobservable for a model with bounded agent s utility conditions are given under which the first best equilibrium can be approximated arbitrarily closely by contracts relating payment to observable outcomes for general models it is shown that the solution may not always be obtained by using the agent s first order conditions as constraint general conditions of lagrangean type are given for problems in which contracts are finite dimensional 1 the moral hazard situation

last place aversion evidence and redistributive implications we present evidence from laboratory experiments showing that individuals are last place averse participants choose gambles with the potential to move them out of last place that they reject when randomly placed in other parts of the distribution in modified dictator games participants randomly placed in second to last place are the most likely to give money to the person one rank above them instead of the person one rank below last place aversion suggests that low income individuals might oppose redistribution because it could differentially help the group just beneath them using survey data we show that individuals making just above the minimum wage are the most likely to oppose its increase similarly in the general social survey those above poverty but below median income support redistribution significantly less than their background characteristics would predict jel codes h23 d31 c91

distributive politics and economic growth a crude distinction between economics and politics would be that economics is concerned with expanding the pie while politics is about distributing it in this paper we analyze the relationship between the two we focus on how an economy s initial configuration of resources shapes the political struggle for income and wealth distribution and how that in turn affects long run growth our main conclusion is that inequality is conducive to the adoption of growth retarding policies we derive this result from a simple political economy model of growth and present cross country evidence consistent with it the key feature of our model is that individuals differ in their relative factor endowments we distinguish between two types of factors an accumulated factor called capital and a nonaccumulated factor called labor growth is driven by the expansion of the capital stock which is in turn determined by individual saving decisions long run growth is endogenous as the aggregate production function is taken to be linearly homogeneous in capital and productive government services taken together the provision of government services is financed by a tax on capital because government services are productive a small tax on

performance in competitive environments gender differences even though the provision of equal opportunities for men and women has been a priority in many countries large gender differences prevail in competitive high ranking positions suggested explanations include discrimination and differences in preferences and human capital in this paper we present experimental evidence in support of an additional factor women may be less effective than men in competitive environments even if they are able to perform similarly in non competitive environments in a laboratory experiment we observe as we increase the competitiveness of the environment a significant increase in performance for men but not for women this results in a significant gender gap in performance in tournaments while there is no gap when participants are paid according to piece rate this effect is stronger when women have to compete against men than in single sex competitive environments this suggests that women may be able to perform in competitive environments per se

competitive experimentation with private information the survivor s curse we study a winner take all r d race between two firms that are privately informed about the arrival rate of an invention over time each firm only observes whether the opponent left the race or not the equilibrium displays a strong herding effect that we call a survivor s curse unlike in the case of symmetric information the two firms may quit the race nearly simultaneously even when their costs and benefits for research differ significantly

optimal dynamic information provision abstract we study a dynamic model of information provision a state of nature evolves according to a markov chain an advisor with commitment power decides how much information to provide to an uninformed decision maker so as to influence his short term decisions we deal with a stylized class of situations in which the decision maker has a risky action and a safe action and the payoff to the advisor only depends on the action chosen by the decision maker the greedy disclosure policy is the policy which at each stage minimizes the amount of information being disclosed in that stage under the constraint that it maximizes the current payoff of the advisor we prove that the greedy policy is optimal in many cases but not always