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

regular articlepreemptive innovation we consider the problem faced by firms investing in r d when the first implementation of an innovation imparts an extreme first mover advantage effectively spoiling the market for later entrants we establish the existence of an equilibrium in threshold rules and show that the equilibrium quality level for the implemented innovation stochastically decreases as the number of firms increases furthermore in the presence of alternative r d methods competition can induce the firms to select the least efficient r d method journal of economic literature classification numbers c72 d83 l15 o31

patent pools as a solution to efficient licensing of complementary patents some experimental evidence production requiring licensing groups of complementary patents implements a coordination game among patent holders who can price patents by choosing among combinations of fixed and royalty fees summed across patents these fees become the total producer cost of the package of patents royalties because they function as excise taxes add to marginal costs resulting in higher prices and reduced quantities of the downstream product and lower payoffs to the patent holders using fixed fees eliminates this inefficiency but yields a more complex coordination game in which there are multiple equilibria which are very fragile in that small mistakes can lead the downstream firm to not license the technology resulting in inefficient outcomes we report on a laboratory market investigation of the efficiency effects of coordinated pricing of patents in a patent pool we find that pool like pricing agreements can yield fewer coordination failures in the pricing of complementary patents

sustainable corporate finance this paper presents and illustrates the concept of sustainable corporate finance sustainability is a well established concept in the disciplines of environmental economics and business ethics the paper uses a broader definition of what is called the firm to pinpoint sustainability to the finance literature the concept of sustainable finance is compared to traditional and behavioral finance four criteria are used to systematically analyze the basic differences first on the order is the theory of the firm the definition of the firm is reconsidered by integrating behavioral aspects and by expanding financial analysis to a three dimensional goal setting secondly a closer look is taken at the assumed behavior of economic agents and its consequences for the applied methodology the shareholders paradigm is discussed against the background of growing stakeholder importance finally the fourth criterion deals with the different ethical framework and its implication for financial behavior

contest design and optimal endogenous entry this paper derives the effort maximizing contest rule and the optimal endogenous entry in a context where potential participants bear fixed entry costs the organizer is allowed to design the contest under a fixed budget with two strategic instruments he sets the value of the prize purse and arranges a monetary transfer entry subsidy or fee for each participating contestant in other words the budget can either be used to subsidize participation or an entry fee can be charged to fund the prize purse the results show that the optimally designed contest attracts exactly two participating contestants in its unique subgame perfect equilibrium when there is a positive fixed entry cost and extracts all the surplus from participating contestants the study also shows that the direction and amount of the monetary transfer depend on the magnitude of the entry cost the contest organizer subsidizes entry when contestants bear substantial entry costs but charges an entry fee to fund the prize purse whenever the entry cost is sufficiently low

prizes and lemons procurement of innovation under imperfect commitment the literature on r d contests implicitly assumes that contestants submit their innovation regardless of its value this ignores a potential adverse selection problem the present paper analyzes the procurement of innovations when the procurer cannot commit to never bargain with innovators who bypass the contest we compare xed prize tournaments with and without entry fees and optimal scoring auctions with and without minimum score requirement our main result is that the optimal xed prize tournament is more pro table than the optimal auction since preventing bypass is more costly in the optimal auction

bidding behavior in a symmetric chinese auction abstract this paper purposes a symmetric all pay auction where the bidders compete neither for an object nor the object itself but for a lottery on receive that lottery is determined endogenously through the bids this auction is known as chance auction or more popularly as chinese auction the model considers the possibility that for some bidders the optimal strategy is to bid zero and to rely on luck it showed that bidders become less aggressive when the lottery satisfies a variational condition it was also shown that luck factor is decisive to determine if the expected payoff in chinese auction is bigger or smaller than expected payoff in standard all pay auction

financial intermediation and endogenous growth an endogenous growth model with multiple assets is developed agents who face random future liquidity needs accumulate capital and a liquid but unproductive asset the effects of introducing financial intermediation into this environment are considered conditions are provided under which the introduction of intermediaries shifts the composition of savings toward capital causing intermediation to be growth promoting in addition intermediaries generally reduce socially unnecessary capital liquidation again tending to promote growth

shipwrecks and treasure hunters we examine dynamic search as a game in which two rivals explore an island for a hidden prize of known value in every period until its discovery the players decide how much of the unsearched area to comb if a player finds the prize alone he wins it and the game ends players have a per period discount factor and costs proportional to the area they search first as a benchmark for efficiency we solve the one player search problem second in the two player setting we show that typically there is inefficient over search a result akin to the tragedy of the commons however for players with intermediate levels of patience there is the possibility of inefficient under search as players incorporate the expected future payoffs in their current search decisions finally with patient players several counterintuitive results can arise for example players might be better off searching a larger island or looking for a less valuable prize

beyond the bounded instrumentality in current corporate sustainability research toward an inclusive notion of profitability we argue that the majority of the current approaches in research on corporate sustainability are inconsistent with the notion of sustainable development by defining the notion of instrumentality in the context of corporate sustainability through three conceptual principles we show that current approaches are rooted in a bounded notion of instrumentality which establishes a systematic a priori predominance of economic organizational outcomes over environmental and social aspects we propose an inclusive notion of profitability that reflects the return on all forms of environmental social and economic capital used by a firm this inclusive notion of corporate profitability helps to redefine corporate profitability as if sustainability matters in that it overcomes the bounded instrumentality that impairs current research on corporate sustainability we apply this notion to different car manufacturers and develop conceptual implications for future research on corporate sustainability

finance as a driver of corporate social responsibility finance is grease to the economy therefore we assume that it may affect corporate social responsibility csr and the sustainability of economic development too this paper discusses the transmission mechanisms between finance and sustainability we find that there is no simple one to one relationship between financial development and sustainable development but there are various often indirect linkages it appears that most of the literature concentrates on the role of public shareholders when it comes to changing corporate policy and performance in a more sustainable direction however this focus neglects the potential impact of the credit channel and private equity on a firm s non financial policies and performance these very powerful mechanisms can govern business policies and practices therefore there appears to be much more scope for finance to promote socially and environmentally desirable activities and to discourage detrimental activities than has been acknowledged in the academic literature so far

the effect of process management on different types of innovations an analytical modeling approach abstract we investigate the trade off between r d efficiency and creativity during the development of a new product a firm s ability to balance efficiency with innovation positively affects its capacity to maintain its competitiveness although the trade off between efficiency and creativity has long been discussed in terms of practical application little analytical research has been performed to enhance theoretical understanding to redress this gap in the literature we present an extreme value model that accounts for innovation type and competition intensity and offer a set of theoretical and practical insights to demonstrate that the effects of process management depend on the nature of the innovation employed we show that the inverse relationship between efficiency and creativity is more pronounced if r d projects represent paradigm shifting innovations rather than incremental innovations we then demonstrate how competition drives firms to decrease investment in innovation activities and improve process efficiency to maximize profit our results suggest that process management activities are less recommended for firms that pursue radical innovation and the acceleration of growth

the strategic equivalence of rent seeking innovation and patent race games abstract we establish the strategic equivalence of a variety of rent seeking contests innovation tournaments and patent race games the results allow us to disentangle negative and positive externalities and to apply theorems and results intended for rent seeking games to other games and vice versa we conclude with several examples that highlight the practical utility of our results

cheating in contests i introduction competition to win the rewards attendant to ranking first in a contest motivates effort or performance by agents in all manner of tasks of course competition is also often valued for its own sake as well as for eliciting output from the contestants as evidenced by the popularity of activities as diverse as sports poker tournaments singing contests and the plethora of reality television programs featuring a contest to be the last contestant standing at the end of the season virtually every contest is characterized by rules sometimes implicit regarding acceptable and unacceptable behavior executives within a firm compete for promotion based on their performance but accounting fraud violation of government regulations or simply unprofessional or unethical business conduct unacceptable to the firm may disqualify an individual athletes may cheat by using performance enhancing drugs or banned equipment e g a corked baseball bat firms in a rent seeking contest may go beyond legal forms of buying political influence lobbying to unacceptable bribery wherever competition motivates a desirable activity or productive effort it may also motivate undesirable and therefore prohibited behavior that is cheating that the organizer of the contest must attempt to police if enforcement is sufficiently costly and imperfect cheating will play a role in this article we model cheating behavior in a symmetric rank order tournament contest we ask how the degree of cheating responds to the parameters of the tournament e g the payoff spread the distribution of the random component of output the probability of being caught cheating and the number of contestants and we identify how particular aspects of the design of contests affect cheating since the pioneering work of lazear and rosen 1981 nalebuff and stiglitz 1983 o keeffe viscusi and zeckhauser 1984 and others a large body of literature has modeled the incentives of agents in contests or rank order tournaments the distinguishing features of these models are that contestants are compensated based on the rank of their output compared with others rather than the level of output compensation levels or prizes are set in advance and output or rank is determined by a combination of costly effort and random noise the somewhat distinct literature on all pay auctions differs in that no random component contributes to the outcome and therefore equilibrium behavior may be characterized by mixed strategies see e g baye kovenock and de vries 1996 baye and hoppe 2003 discuss the strategic equivalence of rent seeking innovation and patent race games which are all essentially contests in which each player expends resources in an attempt to win a prize however to our knowledge there have been only limited efforts discussed below to model contestants incentives to cheat in models of contests in our model cheating is deterred through a random audit or inspection process cheating increases a contestant s output but the more a contestant cheats the more likely his cheating will be detected in the event an audit occurs many of the results of our model are quite intuitive the extent of cheating decreases as the probability of detection grows the degree of the randomness increases or the penalty if caught cheating increases however several results are surprising we find that although increasing monitoring intensity drives down the level of cheating it may decrease productive effort in the contest this occurs because effort falls if it becomes more likely that the effort will not determine the outcome and when monitoring is increased from a low level this increases the probability that the outcome of the contest is determined by disqualification we find that the level of cheating is reduced when a contestant can win by default that is if the discovery of cheating on the part of the contestant who finished first results in the next highest ranking contestant winning by default the incentive to cheat is weaker than if no prize is awarded when the top ranked contestant is found to have cheated

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

asset specificity and economic organization abstract this paper examines the optimization problem of firm and market organization in which both production cost and transaction cost differences are expressed as a function of asset specificity in general markets enjoy advantages by aggregating the demands of many buyers thereby realizing economies of scale or scope such production cost savings need to be assessed in relation to the transaction cost advantages that internal organization sometimes enjoys over markets in adapting to changed circumstances as it turns out both production cost economies and the transaction cost differences between firm and market organization vary systematically with the characteristics of the investments this paper employs a unified framework to assess the choice of organization form the condition of asset specificity is featured

what money canʼt buy efficient mechanism design with costly signals i study the ex ante efficient allocation of a set of quality heterogeneous objects to a number of heterogeneous risk neutral agents agents have independent private values which represent the maximum cost they are willing to sustain to obtain an object of unitary quality the designer faces a trade off between allocative efficiency and cost of screening because the cost sustained is wasted the optimal mechanism ranks agents based on their marginal contribution to social surplus and distributes objects to higher ranked agents the ranking is independent of the scarcity of objects or the extent of their heterogeneity if the hazard rates of the distributions of values are increasing agents are ranked according to their expected values if hazard rates are decreasing and agents are symmetric the objects are allocated to the agents that sustain the highest costs in general optimal mechanisms combine both pooling and screening of values

the estimation of models of labour market behaviour in this paper we view the labour market experience of individuals as a process of movement between the states of employment and unemployment we note that there are three main ways of sampling members of the labour force namely sampling the members of a specific state sampling the people entering or leaving a state and sampling the population regardless of state the joint distribution of observable and unobservable characteristics of individuals depends on the mode of sampling adopted we examine this dependence and its implications for the interpretation of estimates of models of labour market behaviour

competition among contests when several contests compete for the participation of a common set of players a contest s allocation of prizes not only induces incentive effects but also participation effects our model predicts that an increase in the sensitivity with which contest outcomes depend on players efforts makes flatter prize structures more attractive to participants in equilibrium contests that aim to maximize the number of participants will award multiple prizes if and only if this sensitivity is sufficiently high moreover the prize awarded to the winner is decreasing in the contests sensitivity we provide empirical evidence from professional road running using race distance as a measure of sensitivity we show that steeper prize structures are more attractive to top ranked runners in longer that is less sensitive races in line with our theory longer races do in fact offer steeper prize structures

patents versus ex post rewards a new look abstract economic studies that aim at comparing the patent system social efficiency versus an ex post reward system rest on an outdated view of patents they assume that firms use the patent system only in order to be granted a short term commercial monopoly rent this assumption is convenient because it allows straightforward comparisons between patents and rewards but it is not confirmed by empirical studies which stress that in many industries most firms use patents as strategic devices to trade technologies and to ease r d collaborations this change leads to rethinking the framework of the patent reward debate

commuting patterns and firm decentralization since most employed individuals must travel between home and work on a daily basis work place commuting has provided the point of departure for the monocentric model of residential location alonso 1964 mills 1972 muth 1969 one of the major behavioral assumptions of the monocentric model is that consumers prefer less commuting to more all else equal hence the model predicts that workers will take advantage of any opportunity to reduce their commutes in the monocentric situation in which all employment is located at the central business district cbd no such opportunity arises however decentralized firm location enables workers to shorten their commutes as firms have left the cbd to move into the residential area the monocentric model thus predicts that if firms have decentralized workers should have very short commutes in longrun equilibrium however significant commuting persists in the face of large scale firm decentralization such commuting leads to the belief that frictions with respect to residential and job mobility exist which prevent workers from achieving the long run equilibrium solution predicted by the monocentric model in this paper i hypothesize that individuals with greater job and residential mobility will have shorter commutes given decentralized firm location residential and job mobility are further hypothesized to be functions of socio economic and employment characteristics the results show sex income race household responsibilities and job mobility to be important in determining commuting behavior the monocentric model is based on a separation of the house and work place theoretically this separation can be measured either in terms of commuting time or distance however most tests of the monocentric model have used commuting distance hamilton 1982 blackley and follain 1987 the time vs distance issue is explicitly addressed in this paper by using both measures in the estimations the results

unemployment insurance and male unemployment duration in canada a model of unemployment duration is estimated with weekly micro data on canadian men entitlement provisions in the unemployment insurance program and demand conditions are found to have a significant effect on the probability of leaving unemployment the probability of a worker leaving unemployment declines with the duration of unemployment holding unemployment insurance entitlement constant when entitlement is allowed to vary the probability of leaving first falls and then generally rises with unemployment duration these results are robust with respect to allowing for person specific unobserved heterogeneity and alternative specifications of duration dependence

selection of entrepreneurs in the venture capital industry an asymptotic analysis we study a model of entrepreneurs who compete in an auction like setting for venture capital vc funding in a setting where limited capital dictates that the vc can only finance the best entrepreneurs with asymmetric information vcs can only assess entrepreneurs by the progress of development which in equilibrium reveals the quality of the new technology using an asymptotic analysis we prove that in attractive industries having a large number of entrepreneurs competing for vc funding could lead to underinvestment in technology by entrepreneurs as the effort exerted by losing entrepreneurs is wasted the study then proceeds to characterize the conditions under which a greater number of competing entrepreneurs is better the model also demonstrates that vcs could possibly increase their payoff by concentrating on a single industry in addition the study also provides some insights on the effects of multiple investments by vcs and the effects of competition among vcs on the same investments

a bivariate duration model for job mobility of two earner households abstract in recent years we have observed an increasing interest in the job mobility patterns of employed persons a new issue in this context is the mutual dependence of job mobility choice of workers who belong to the same household in the present paper we focus on bivariate duration models of stock sampled data in which dependence is induced through mixing we apply the estimation method on the basis of an empirical study on the mutual dependence of job mobility of workers belonging to a two earner household in the netherlands an interesting empirical result is that the marginal willingness to pay for a reduction in commuting time in a two wage earner household is higher than that usually found for single earner workers

attracting skeptical buyers negotiating for intellectual property rights expropriable disclosures of knowledge to prospective buyers may be necessary to facilitate the sale of intellectual property ip in principle confidentiality agreements can protect disclosures by granting the seller rights to sue for unauthorized use in practice sellers often waive confidentiality rights we provide an incomplete information explanation for the waiver of confidentiality rights that are valuable in complete information settings waiving sacrifices the protective value of confidentiality to gain greater buyer participation buyer skepticism which reduces participation arises endogenously from three elements asymmetric information regarding seller ip rent dissipation from competition for ip and ex post costs from expropriation lawsuits

the impact of managerial change on performance the role of team heterogeneity when a key responsibility of a manager is to allocate more or less attractive tasks to subordinates these subordinates have an incentive to work hard and demonstrate their talents as a new manager is less well acquainted with these talents this incentive mechanism is reinvigorated after a management change but only when the team is suciently homogenous otherwise a new manager quickly makes similar choices as the old one did we investigate this hypothesis using a large data set on coach dismissals in the german football league where the selection of players is indeed a key task of the coach indeed we nd substantial evidence that coach replacements enhance team performance only in homogenous teams moreover from a methodological point of view we argue that there is typically a negative selection bias when evaluating succession eects which might reconcile previous ndings of no or even negative eects with the vast number of dismissals

the selection efficiency of tournaments abstract we discuss tournaments in terms of their efficiency as probabilistic mechanisms that select high quality alternatives players in a noisy environment we characterize the selection efficiency of three such mechanisms contests binary elimination tournaments and round robin tournaments depending on the shape of the distribution of players quality the number of players and noise level the results have implications as to how and under what circumstances the efficiency of tournament based selection can be manipulated

incentivizing r d prize or subsidies abstract this paper studies the optimal design of r d contests a sponsor e g the us department of defense or the world health organization wants to improve the quality of the winning products to do so it partitions its budget between two schemes an inducement prize and efficiency enhancing subsidies to the firms competing in the contest prizes and subsidies have different functions and they provide complementary incentives in the optimally designed contest subsidies increase while the prize decreases if the innovation process is more challenging further sensible conditions are identified under which the optimal contest implements either a handicapping scheme by preferentially subsidizing the underdog or a national champion scheme by favoring the favorite our analysis yields a number of useful implications and sheds light on an array of r d incentive schemes such as the dod s design competitions and vaccine development incentives

political culture and discrimination in contests abstract many economic and political decisions are the outcome of strategic contests for a given prize the nature of such contests can be determined by a designer who is driven by political considerations with a specific political culture the main objective of this study is to analyze the effect of political culture and of valuation asymmetry on discrimination between the contestants the weights assigned to the public well being and the contestants efforts represent the political culture while discrimination is an endogenous variable that characterizes the mechanism allocating the prize we consider situations under which the optimal bias of the designer is in favor of the contestant with the larger or smaller prize valuation and examine the effect of changes in the political culture and in valuation asymmetry on the designer s preferred discrimination between the contestants focusing on the two most widely studied types of contest success functions deterministic all pay auctions and logit csfs we show that an all pay auction is always the preferred csf from the point of view of the contest designer this result provides a new political economic micro foundation to some of the most commonly used models in the contest literature

ranking games and gambling when to quit when you re ahead it is common for rewards to be given on the basis of a rank ordering so that relative performance amongst a cohort is the criterion in this paper we formulate an equilibrium model in which an agent makes successive decisions on whether or not to gamble and is rewarded on the basis of a rank ordering of the final position amongst competing players one application of this model is to the behavior of mutual fund managers who are paid depending on funds under management which in turn are greatly influenced by annual or quarterly rank orderings our model deals with a situation in which fund managers can elect either to pick stocks or to use a market tracking strategy in equilibrium the distribution of the final position will have a negative skew we explore how this distribution depends on the number of players the probability of success when gambling the structure of the rewards and on information regarding the performance of other players

identification results for duration models with multiple spells the purpose of this paper is to investigate the identifiability of duration models with multiple spells we prove that the results of elbers and ridder 1982 and heckman and singer 1984 can be generalized to multi spell models with lagged duration dependence we also prove that without lagged duration dependence the identification result does not depend on moment conditions or tail conditions on the mixing distribution this result is in contrast to ridder s 1990 result for single spell models

the assessment the economics of sport the study of sports economics has expanded rapidly in recent years in response to significantly increased demand for sport itself for economic analysis relevant to commercial litigation in sport for lively teaching material in schools and universities and for research into the incentive properties of sporting contests while much of the literature has focused on the issue of competitive balance and how to achieve it there have still been relatively few studies that apply the lessons of the economic theory of contests to the analysis of sports there remain huge opportunities both to develop our theoretical understanding of incentive mechanisms in sport and to conduct empirical research in the operation of incentives in sporting contests copyright 2003 oxford university press

project selection commitment and competition we examine project selection decisions of firms constrained in the number of projects they can handle at once a new project opportunity arises every period taking on a project requires a commitment of uncertain duration preventing the firm from selecting another project in subsequent periods until the commitment ends in our dynamic game when two firms are free of commitment they move sequentially in random order symmetric pure strategy markov perfect equilibria always exist in equilibrium the first mover strategically rejects some projects that are then selected by the second mover even when the value of the project is the same for both firms a monopolist rejects more projects and adopts ones of higher average quality compared to the duopolist duopolists select too few projects compared to their jointly optimal behavior we extend the model to allow for externalities asymmetry and n 2n 2 firms

a structural dynamic analysis of job turnover and the costs associated with moving to another job this paper provides an empirical analysis of the labor market behavior of employed individuals using a structural on the job search model the costs associated with moving to another job are allowed to be nonzero and may depend on the wage level it is shown that under certain conditions the optimal strategy has the reservation wage property the model is estimated using data on job durations and subjective responses concerning the search strategy the results reveal some strong sources of inflexibility of the labor market copyright 1992 by royal economic society

closed or open innovation problem solving and the governance choice scholars have recently highlighted the promise of open innovation in this paper we treat open innovation in it s different forms and manifestations as well as internal or closed innovation as unique governance forms with different benefits and costs we discuss how each governance form whether open or closed is composed of a set of instruments that access a different types of communication channels for knowledge sharing b different types of incentives and c different types of property rights for appropriating value from innovation we focus on the innovation problem as the central unit of analysis arguing for a match between problem types and governance forms which vary from open to closed and which support alternative forms of solution search in all the goal of this paper is to provide a comparative framework for managing innovation where we delineate and discuss four categories of open innovation governance forms markets partnerships contests and tournaments and user or community innovation and compare them with each other and with two internal or closed forms of innovation governance authority and consensus based hierarchy

nash equilibrium search for the best alternative in a recent paper weitzman econometrica 47 1979 641 654 described a policy of optimal search for the best alternative the present paper is concerned with the development and characterization of a policy of nash equilibrium search for the best alternative specifically it is shown that under certain monotonicity assumptions and under the assumption that firms have incomplete information regarding the results of rivals search behavior a nash equilibrium search policy exists and has the same form as weitzman s optimal search policy

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

difference in interim performance and risk taking with short sale constraints abstract absent much theory empirical works often rely on the following informal reasoning when looking for evidence of a mutual fund tournament if there is a tournament interim winners have incentives to decrease their portfolio volatility as they attempt to protect their lead while interim losers are expected to increase their volatility so as to catch up with winners we consider a rational model of a mutual fund tournament in the presence of short sale constraints and find the opposite interim winners choose more volatile portfolios in equilibrium than interim losers several empirical works present evidence consistent with our model however based on the above informal argument they appear to conclude against the tournament behavior we argue that this conclusion is unwarranted we also demonstrate that tournament incentives lead to differences in interim performance for otherwise identical managers and that mid year trading volume is inversely related to mid year stock return

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

the economic design of sporting contests what is the optimal number of entrants in a race or the optimal number of teams in a baseball league what is the optimal structure of prizes for a golf tournament or degree of revenue sharing for a football championship how evenly balanced should the competing teams be in the nascar or formula one championships what is the maximum number of entrants per nation to the olympic games that should be permitted what quota of qualifying teams to the soccer world cup should be allocated to the developing nations

investment uncertainty and pre emption this paper examines irreversible investment in a project with uncertain returns when there is an advantage to being the first to invest and externalities to investing when others also do so we show that the possibility of pre emption can have significant qualitative and quantitative effects on the relationship between uncertainty and investment in a single agent real options model the trigger threshold for investment increases without bound as uncertainty grows in contrast the investment trigger of a leader faced with pre emption is bounded above as uncertainty increases in fact we show that under certain parameter values greater uncertainty can lead the leader to invest earlier these findings reinforce the importance of extending real options analysis to include strategic interactions between players applications to industry situations are also discussed

option exercise games an application to the equilibrium investment strategies of firms under the standard real options approach to investment under uncertainty agents formulate optimal exercise strategies in isolation and ignore competitive interactions however in many real world asset markets exercise strategies cannot be determined separately but must be formed as part of a strategic equilibrium this article provides a tractable approach for deriving equilibrium investment strategies in a continuous time cournot nash framework the impact of competition on exercise strategies is dramatic for example while standard real options models emphasize that a valuable option to wait leads firms to invest only at large positive net present values the impact of competition drastically erodes the value of the option to wait and leads to investment at very near the zero net present value threshold copyright 2002 oxford university press

risk taking in contests and the role of carrots and sticks i introduction when individuals compete for promotions bonuses or other rewards tied to their relative performance ranking vis a vis other contestants competition is likely to drive not just work effort but where imperfect monitoring permits other choices at the contestants discretion in this article we ask how rank dependent compensation influences attitudes toward risk or the choice of variance of output when contestants have opportunities to influence this aspect of their output distribution unlike previous literature we assume that it is costly for contestants to alter the variance of output and that identical contestants simultaneously choose both the mean of their output distribution i e work effort and its variance our analysis emphasizes the importance of the number of players and symmetry or lack thereof of payoffs on contestants incentives we find that contestants will engage in risk seeking increasing the variance of their output distribution in contests among three or more players when the payoff structure offers a greater prize for ranking first than the penalty for ranking last as happens in winner take all contests if the tournament organizer or sponsor values the aggregate output of the contestants as is typically assumed in labor market tournaments this risk seeking behavior is inefficient because it is costly but does not increase the expected output however we argue that many contests such as the research and development tournaments first modeled by taylor 1995 may be characterized by an organizer who cares only or primarily about the highest output achieved by a single contestant e g the best submission received in such cases the organizer may benefit from costly risk taking among contestants we show that three payoff levels a prize to the contestant ranked first a penalty to the contestant ranked last and a common intermediate payoff to all others are sufficient to achieve any combination of effort and variance of output that the organizer wishes to induce among contestants so long as the desired output variance does not exceed that which results from a winner take all prize structure therefore the sponsor s problem can be characterized as choosing the optimal mean and variance of the output distribution given the contestants costs of influencing the mean and variance of output in this way our model provides an explanation for the importance of both carrots prizes and sticks penalties in competitive settings only through the combined use of both can a contest organizer determine the effort and the variance of output chosen by contestants and doing so is necessary to achieve optimal performance from contests since the pioneering work of lazear and rosen 1981 nalebuff and stiglitz 1983 o keeffe viscusi and zeckhauser 1984 and others rank order tournaments or contests have been used to model incentives in a variety of economic settings in particular executive compensation has frequently been modeled as a tournament in which low level executives are motivated by the prospect of climbing the corporate ladder and obtaining the large salaries attendant to top ranking executives as in rosen 1986 and bognanno 2001 similarly the behavior of investment fund managers who compete for top fund rankings has been modeled as a tournament by brown harlow and starks 1996 taylor 1995 developed a model of research tournaments in which contestants search for an innovation and the best innovation submitted to the sponsor wins a prize the distinguishing feature of a tournament or contest is that contestants are paid based on the rank of their output relative to others rather than the level of output prize levels are set in advance and competition to win generates the incentive to exert effort to increase output lazear and rosen 1981 showed that rank order tournaments can provide an efficient incentive framework in a labor market setting when workers are risk neutral

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

optimal punishment in contests with endogenous entry abstract we study optimal punishment in an all pay contest with endogenous entry where the participant with the lowest performance may be punished when a small punishment is introduced the lowest ability players drop out and those of medium ability exert less effort while only the highest ability players exert more effort a sufficient condition is given for the optimal punishment to be zero if the objective is to maximize the expected total effort as cost functions become more convex punishment becomes less desirable when the objective is to maximize the expected highest individual effort a positive punishment is desirable under much weaker conditions

incentives and problem uncertainty in innovation contests an empirical analysis contests are a historically important and increasingly popular mechanism for encouraging innovation a central concern in designing innovation contests is how many competitors to admit using a unique data set of 9 661 software contests we provide evidence of two coexisting and opposing forces that operate when the number of competitors increases greater rivalry reduces the incentives of all competitors in a contest to exert effort and make investments at the same time adding competitors increases the likelihood that at least one competitor will find an extreme value solution we show that the effort reducing effect of greater rivalry dominates for less uncertain problems whereas the effect on the extreme value prevails for more uncertain problems adding competitors thus systematically increases overall contest performance for high uncertainty problems we also find that higher uncertainty reduces the negative effect of added competitors on incentives thus uncertainty and the nature of the problem should be explicitly considered in the design of innovation tournaments we explore the implications of our findings for the theory and practice of innovation contests this paper was accepted by christian terwiesch operations management

a theory of grand innovation prizes abstract the past decade has witnessed a resurgence in innovation awards in particular of grand innovation prizes gips which are rewards to innovators developing technologies reaching performance goals and requiring breakthrough solutions gips typically do not preclude the winner also obtaining patent rights this is in stark contrast with mainstream economics of innovation theories where prizes and patents are substitute ways to generate revenue and encourage innovation building on the management of innovation literature which stresses the difficulty to specify ex ante all the technical features of the winning technologies we develop a model in which innovative effort is multi dimensional and only a subset of innovation tasks can be measured and contracted upon we show that in this environment patent rights and cash rewards are complements and that gips are often preferable to patent races or prizes requiring technologies to be placed in the public domain moreover our model uncovers a tendency for patent races to encourage speed of discovery over quality of innovation which can be corrected by gips we explore robustness to endogenous entry costly public funds and incomplete information by gip organizers on the surplus created by the technology

optimal service speeds in a competitive environment this is a study of the economic behavior of vendors of service in competition a simple model with two competing exponential servers and poisson arrivals is considered each server is free to choose his own service rate at a cost per time unit that is strictly convex and increasing there is a fixed reward to a server for each customer that he serves the model is designed to study one specific aspect of competition namely competition in speed of service as a means for capturing a larger market share in order to maximize long run expected profit per time unit a two person strategic game is formulated and its solutions are characterized depending on the revenue per customer served and on the cost of maintaining service rates the following three situations may arise i a unique symmetric strategic nash equilibrium in which expected waiting time is infinite ii a unique symmetric strategic equilibrium in which expected waiting time is finite and iii several nonsymmetric strategic equilibria with infinite expected waiting time an explicit expression for the market share of each server as a function of the service rates of the two servers is also given

work and health after retirement a competing risks model with semiparametric unobserved heterogeneity competing risks models recognize that there may be more than one exit from a given state but they make the strong assumption that there is no correlation between unobserved heterogeneity components in each state here a competing risks model that uses a semiparametric method of estimation and controls for the correlation between unobserved heterogeneity components in each state is compared with a traditional competing risks model of exit from retirement the unobservable heterogeneity components of the competing risks are insignificantly positively correlated and the effects of policy relevant variables are changed somewhat copyright 1989 by mit press

estimating workers marginal willingness to pay for job attributes using duration data this paper develops and applies a method for estimating workers marginal willingess to pay for job attributes when workers job choices are characterized by imperfect information and labor market search as an application this paper analyzes the job durations of white males using data from the national longitudinal survey youth cohort and the dictionary of occupational titles estimates of workers willingness to pay derived from the job duration model are compared with those derived from an hedonic wage model

markets for ideas prize structure entry limits and the design of ideation contests contests are a popular mechanism for the procurement of innovation in marketing design and other creative industries firms use freelance marketplaces to organize contests and obtain high quality ideas for ads new products and even business strategies from participants a central question faced by contest sponsors is how to appropriately structure prizes and entry regulations i develop an empirical model of idea generation ideation contests and investigate the impact of the number of prizes prize amount and submission limit on participation and quality outcomes using data from a popular marketing ideation platform the model explains participant submission decisions jury ratings and sponsor rankings of winning submissions counterfactuals reveal the impact of design parameters on outcomes and provide guidance for the optimal design of ideation contests and platforms

an experimental investigation of research tournaments i introduction research tournaments have played an important role in the economic growth of nations since the earliest stages of the industrial revolution for example the golden age of steam locomotion was spawned by a research tournament sponsored by the liverpool and manchester railway in 1829 1 more recently research tournaments have been used to create a variety of products ranging from fuel efficient refrigerators langreth 1994 and digital televisions economist 1993 to high tech fighter aircraft for the military schwartz et al 1991 today scientists and lawmakers are even considering the use of a research contest to propel the development of the first manned space mission to mars 2 despite the recurring popularity of research tournaments over the last two hundred years the first theoretical model for evaluating their efficiency was not published until taylor s 1995 seminal work taylor s model provides a theoretical basis for evaluating the effect the number of competitors and tournament duration have on the amount of effort expended by contestants in a research tournament taylor proved that by limiting the number of competitors in a research tournament and charging each competitor an entry fee research tournament sponsors can induce an efficient amount of innovative effort fullerton and mcafee 1999 extended research tournament theory to include competitions with heterogeneous contestants showing for a large class of contests the optimal number of competitors is two and sponsors can induce the best qualified competitors to enter the tournament by holding specialized all pay entry auctions although the economic intuition behind these research tournaments is straightforward the empirical calculations required to compute their equilibrium strategies are very complex and it is an empirical question as to whether individuals are able to compute these strategies therefore to investigate the predictive power of research tournament models we conducted a series of laboratory experiments to test taylor s seminal research tournament theory by examining whether subjects in a controlled economic laboratory setting can be induced to expend the predicted amount of research and development rd x 0 each new innovation is drawn with recall from the distribution of innovations allowing each competitor to retain the best draw across all t periods of the tournament

performance responses to competition across skill levels in rank order tournaments field evidence and implications for tournament design tournaments are widely used in the economy to organize production and innovation we study individual data on 2775 contestants in 755 software algorithm development contests with random assignment the performance response to added contestants varies nonmonotonically across contestants of different abilities precisely conforming to theoretical predictions most participants respond negatively whereas the highest skilled contestants respond positively in counterfactual simulations we interpret a number of tournament design policies number of competitors prize allocation and structure number of divisions open entry and assess their effectiveness in shaping optimal tournament outcomes for a designer

the generalized war of attrition abstract we model a war of attrition with n k firms competing for n prizes in a natural oligopoly context the k 1 lowest value firms drop out instantaneously even though each firm s value is private information to itself in a standard setting context in which every competitor suffers losses until a standard is chosen even after giving up on its own preferred alternative each firm s exit time is independent both of k and of other players actions our results explain how long it takes to form a winning coalition in politics solving the model is facilitated by the revenue equivalence theorem jel d43 d44 l13 o30

risk taking in selection contests abstract we study contests where the strategic variable is the degree of risk taking rather than the amount of effort the selection efficiency of such contests is examined we show that the selection efficiency of a contest may be improved by limiting the competition in two ways by having a small number of contestants and by restricting contestant quality

preemption and rent equalization in the adoption of new technology we study the adoption of a new technology to illustrate the effects of preemption in games of timing we show that the threat of preemption equalizes rents in a duopoly but that this result does not extend to the general oligopoly game if the gain to preemption is sufficiently small then the optimal symmetric outcome which involves late adoption is an equilibrium this contrasts with reinganum s result that in precommitment equilibria there must be diffusion we develop a new and richer formalism for modeling games of timing which permits a continuoustime representation of the limit of discrete time mixed strategy equilibria

incentive and sampling effects in procurement auctions with endogenous number of bidders abstract we study an auction contest for a procurement of innovation firms exert effort and the resulting quality of innovation is ex ante uncertain given this uncertainty there is a trade off regarding the number of participating firms in the contest increasing the number of firms reduces each firm s chance of winning the auction leading the firms to reduce effort level meanwhile the chance of obtaining a high quality of innovation increases with the number of firms due to the randomness of the quality thus the procurer faces a nontrivial problem of how many firms to invite we show that in the high level of randomness it is optimal for the procurer to invite many firms as the randomness vanishes however inviting only two firms is optimal we also show that a fixed prize tournament may outperform the auction when the randomness is large

the capital budgeting process incentives and information we study the capital allocation process within firms observed budgeting processes are explained as a response to decentralized information and incentive problems it is shown that these imperfections can result in underinvestment when capital productivity is high and overinvestment when it is low we also investigate how the budgeting process may be expected to vary with firm or division characteristics such as investment opportunities and the technology for information transfer there is general agreement that investment decisions are the most important decisions made by corporations the choice of projects and the level of investment is critical not just for stakeholders of the firm but also for the economic well being of society as a whole it has been alleged that u s firms invest too little and tend to overemphasize short term results for example porter 1992 citing poterba and summers 1992 asserts that u s firms use hurdle rates to evaluate investment projects that are higher than their estimated costs of capital to understand the investment behavior of firms one must consider both the process by which external capital is made available to firms and the process by which internally and externally raised capital is allocated to investment projects within the firm considerable attention has been paid to how firms raise external capital the fundamental insight in this area is the celebrated result of modigliani and miller mm that capital structure is irrelevant in the absence of capital market frictions accordingly in the three decades since their contribution research on how external capital is raised has focused on market frictions including information and incentive problems relatively little research has focused on the internal allocation process and its relationship to the organization of the firm modern finance theory prescribes allocating capital according to the net present value npv rule just as the mm result itself provides no theory of the arrangements under which

attrition in longitudinal panel data and the empirical analysis of dynamic labour market behaviour in the empirical analysis of unemployment durations and job durations it is generally assumed that the stochastic processes underlying labour market behaviour and the behaviour concerning participation in a panel survey are independent however there are reasons to believe that the probability of dropping out of the panel is related to the rate at which a different job is found if there is such a relation and if it is ignored then the estimator of the rate at which individuals become employed or change jobs will generally be inconsistent in this paper we analyse the relation between the duration spent in a particular labour market state and the duration of panel survey participation by explicitly modelling and estimating the joint distribution of both durations the emphasis will be on models allowing for stochastically related unobserved determinants of both types of duration we estimate models both for unemployment durations and for job durations copyright 1994 john wiley sons ltd

moral hazard in repeated procurement of services this paper analyzes repeated procurement of services as a two period model with a potential repeated agency relationship in the first period there is an incumbent who provides a service in the second period there is a contest stage in which the principal selects the next service provider the agents effort is non contractible and the contest stage is the mechanism to mitigate potential moral hazard problems the principal takes account of the past service effort in the contest stage by choosing the weight of past effort and the degree of substitutability between past and current efforts the results show that when the principal does not value contest effort considering past effort as the relevant effort in the contest is optimal when the principal values contest effort and effort cost increases decreasing substitutability between efforts is optimal

optimal prize allocation in contests the role of negative prizes abstract in this paper we analyze the role of negative prizes in contest design with a fixed budget risk neutral contestants and independent private abilities the effort maximizing prize allocation rule features a threshold when the highest effort is above the threshold all contestants with lower efforts receive negative prizes these negative prizes are used to augment the prize to the contestant with the highest effort which better incentivizes contestants with higher abilities when no contestant s effort exceeds the threshold all contestants equally split the initial budget or a portion of it to ensure their participation we find that allowing negative prizes can increase the expected total effort dramatically in particular if no bound is imposed on negative prizes the expected total effort can be arbitrarily close to the highest possible effort inducible when all contestants have the maximum ability with certainty the above contest is shown to be the optimal mechanism for a more general class of mechanisms