weeds in the ivy college admissions under preference constraints abstractin a series of cases spanning more than three decades the courts have attempted to establish boundaries on the permissible use of racial preferences in college admissions proponents of these policies believe that race based preferences are needed to create a diverse student body that facilitates effective learning and social inclusion opponents of such policies contend that racial preferences are inherently discriminatory and eliminating them would yield a more able student body whereas race based preferences have garnered the most attention elite colleges regularly employ other types of preferences including those for alumni and talented athletes to inform this important policy debate we develop a simple model comprised of a rational college administrator that maximizes a linear combination of student body ability and the college endowment through the choice of race legacy and merit admission shares we find that relaxing the racial preferences constraint can produce a less able studen

semi targeted all pay auctions a partial exclusion principle abstract this paper studies the effects of a specific affirmative action policy in complete information all pay auctions when players differ in ability the contest organizer splits the overall prize of the competition into a targeted and an untargeted prize the targeted prize is exclusively for disadvantaged low ability agents and excludes advantaged agents partially from the overall prize we consider a setting with one high ability and two low ability contestants and fully characterize equilibrium assuming that the contest organizer aims to maximize expected total effort we show that i almost any targeted prize is preferable to a standard all pay auction without targeted prize ii the exclusion principle baye et al 1993 can be implemented by a wide range of sufficiently large targeted prizes and iii partial exclusion by means of an appropriately chosen targeted prize benefits the organizer more than complete exclusion we also discuss the robustness of our results in settings with more than three agents

incomplete information and rent dissipation in deterministic contests abstract in a deterministic contest or all pay auction all rents are dissipated when information is complete and contestants are identical as one contestant becomes stronger that is values the prize more total expenditures are known to decrease monotonically thus asymmetry among contestants reduces competition and rent dissipation recently this result has been shown to hold for other non deterministic contest success functions as well thereby suggesting a certain robustness in this paper however the complete information assumption is shown to be crucial i examine a tractable incomplete information model for which the complete information model is a special case with incomplete information regardless of how little total expenditures in a deterministic two player contest increase when one contestant becomes marginally stronger starting from a symmetric contest in fact both contestants expend resources more aggressively with complete information neither of them do so thus there is a discontinuity in the information structure

the incentive effect of a handicap the incentive effect of a handicap in a tournament competition is studied a handicap may decrease the effort levels of the advantaged group or the disadvantaged group however the average effort level will always increase as long as the performance measure is informative of effort in a specific sense the monotone likelihood ratio property

lottery versus all pay auction contests a revenue dominance theorem abstract we allow a contest organizer to bias a contest in a discriminatory way i e she can favor specific contestants by designing the contest rule in order to maximize total equilibrium effort resp revenue the two predominant contest regimes are considered all pay auctions and lottery contests for all pay auctions the optimal bias is derived in closed form it implies extreme competitive pressure among active contestants and low endogenous participation rates moreover the exclusion principle advanced by baye et al 1993 becomes obsolete in this case in contrast the optimally biased lottery induces a higher number of actively participating contestants due to softer competition our main result regarding total revenue comparison under the optimal biases reveals that the all pay auction revenue dominates the lottery contest for all levels of heterogeneity among contestants the incentive effect due to a strongly discriminating contest rule all pay auction dominates the participation effect due to a weakly discriminating contest rule lottery

the incentive effects of levelling the playing field an empirical analysis of amateur golf tournaments levelling the playing field is an important policy instrument to guarantee an equitable competition among heterogeneous individuals however the incentive effects of those policies are usually not explicitly addressed in empirical studies in this article the performance in amateur golf tournaments is analysed to gain insights into the incentive effects of those types of policies the empirical analysis takes advantage of the fact that tournaments in amateur golf are of two distinctive types that apply different scoring rules while one scoring rule is based on gross scores i e the total number of strokes of a player the second scoring rule is based on net scores where the total number of strokes is normalized with respect to the respective player s handicap performance comparisons of players who participated in both types of tournaments suggest that levelling the playing field as in tournaments based on net score has positive and significant performance effects

retaking in high stakes exams is less more placement both in university and in the civil service according to performance in competitive exams is the norm in much of the world repeat taking of such exams is common despite the private and social costs it imposes we develop and estimate a structural model of exam retaking using data from turkey s university placement exam limiting retaking results in all agents gaining ex ante and most gaining expost this result comes from a general equilibrium effect retakers crowd the market and impose negative spillovers on others by raising acceptance cutoffs

sequential product innovation and industry revolution a certain sequence of innovations in a vertically differentiated good is considered two firms are engaged in a series of bidding games to acquire the infinitely lived patents to these managerial diseconomies restrict firms to producing a single good which is chosen optimally from the set of patents owned by the firm product market equilibrium is bertrand two theorems provide 1 a sufficient condition for the current leader to be overthrown action reaction and 2 a necessary and sufficient condition for persistent dominance an illustrative example shows that sequences satisfying these conditions can always be constructed copyright 1987 by royal economic society

innovation and industry evolution the theoretical literature on innovation has been concerned with a single innovation produced by a number of identical agents by contrast we consider a market in which one firm is the current incumbent while the remaining firms are challengers moreover we consider a sequence of innovations so that success does not imply that the successful firm reaps monopoly profits forever after but only until the next better innovation is developed we begin with a fully optimizing behavioral model and derive the equivalent of the schumpeterian process of creative destruction that is a firm enjoys temporary monopoly power but is soon overthrown by a more inventive challenger the essential point to grasp is that in dealing with capitalism we are dealing with an evolutionary process the fundamental impulse that sets and keeps the capitalist engine in motion comes from the new consumers goods the new methods of production or transportation the new markets the new forms of industrial organization that capitalist enterprise creates schumpeter 1942 pp 82 83

favoritism in asymmetric contests head starts and handicaps abstract i examine a contest with identity dependent rules in which contestants are privately informed and ex ante heterogeneous a contestant may suffer from a handicap or benefit from a head start the former reduces the contestant s score by a fixed percentage the latter is an additive bonus although total effort increases if the weak contestant is favored with a head start the optimal use of handicaps is not as clear cut depending on the nature of the asymmetry it may or may not be optimal to handicap the strong contestant moreover it is generally optimal to combine the two instruments for instance when contestants are sufficiently heterogeneous the weak contestant should be given both a head start and a handicap it may also be possible to induce higher effort and at the same time make both contestants better off ex ante

discrimination in a model of contests with incomplete information about ability we study contests with private information and identical contestants where contestants efforts and innate abilities generate output of varying qualities the designer s revenue depends on the quality of the output and she offers a reward to the contestant achieving the highest quality we characterize the equilibrium behavior outcomes and payoffs for both nondiscriminatory and discriminatory where the reward is contestant dependent contests we derive conditions under which the designer obtains a larger payoff when using a discriminatory contest and describe settings where these conditions are satisfied

optimal favoritism in all pay auctions and lottery contests abstract we analyze the revenue enhancing potential of favoring specific contestants in complete information all pay auctions and lottery contests with several heterogeneous contestants two instruments of favoritism are considered head starts that are added to the bids of specific contestants and multiplicative biases that give idiosyncratic weights to the bids in the all pay auction head starts are more effective than biases while optimally combining both instruments even yields first best revenue in the lottery contest head starts are less effective than biases and combining both instruments cannot further increase revenue as all pay auctions revenue dominate lottery contests under optimal biases we thus obtain an unambiguous revenue ranking of all six combinations of contest formats and instruments

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

disclosure policy in tullock contests with asymmetric stochastic entry we examine how disclosure policy can be optimally designed to incentivize contestants when their participation is exogenously stochastic in a generalized tullock contest setting with two players who are asymmetric in both their values and entry probabilities we fully characterize the necessary and sufficient conditions under which no disclosure dominates full disclosure we find that the comparison depends solely on a balance effect exercised by entry probabilities on the expected total effort the optimal disclosure policy must better balance the competition these conditions continue to hold when the precision r of tullock contests is endogenously chosen by the designer

private information group contests best shot competition abstract we model competing groups when players values for winning are private information each group s performance equals the best effort best shot of its members and the group with the best performance wins the contest at the symmetric equilibrium of symmetric contests increasing the number of competing teams may increase or decrease each team s performance but it unambiguously increases the overall expected best shot depending on the elasticity of the distribution of players values individual team and contest performance may increase or decrease with team size considering just two competing groups that differ only in size we show members of the smaller group use the more aggressive strategy but depending on the nature of uncertainty either team may be more likely to win more generally when teams value cdfs differ increasing one team s size decreases increases that team s chance of winning if its value cdf is elastic inelastic

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

a theory of affirmative action in college admissions i introduction race conscious preferential admissions have been widely practiced by selective colleges and universities to enhance minority representation in higher education for example the college of arts and sciences at the university of michigan automatically added 20 points out of a possible 150 points to a minority applicant s score in its rating system harvard university has an unofficial lift scheme which also targets minority applicants however controversy has surrounded affirmative action ever since its inception for instance california texas and florida have already terminated the use of race conscious admissions at state funded institutions this debate culminated in the recent supreme court ruling regarding admissions procedures at the university of michigan which endorsed admissions rules that took into account race as a qualifying characteristic unfortunately positive studies on this issue have been scarce relative to the high profile of the debate according to holzer and neumark 1999 theoretical studies of the efficiency of affirmative action on education are virtually nonexistent some have argued that affirmative action is merely a patronage program and necessarily results in mediocracy rather than meritocracy in the debate on affirmative action practices in college admissions a major criticism is that affirmative action designed to create diversity comes at the cost of academic quality a competing view offered by those opposed to affirmative action is that it weakens school applicants incentives to achieve academic excellence for instance justice thomas wrote in his opinion in grutter v bollinger that there is no incentive for the black applicant to continue to prepare for the lsat once he is reasonably assured of achieving the requisite score supporters of this practice tend to emphasize the importance of diversity and the positive influence of diversity on the pedagogical environment steele 1990 these views however do not fully recognize the incentive structure behind affirmative action admissions rules it is unclear how a college admissions rule affects high school students incentives to achieve academic excellence which adds to their human capital stock and future productivity the process of college admissions by and large resembles a contest in which contestants exert costly effort in order to win a limited number of prizes in the context of college admissions to compete for a limited number of seats in the incoming class college candidates have to present their academic credentials such as gpa and sat score to the admissions officer to win the seat high school students have to invest in their human capital which improves the academic performance whereas the academic investments are costly and nonrefundable regardless of the outcome for example the tuition the money spent on books the salary paid to tutors the time and energy and so on all of these features may be approximated by an all pay auction mechanism we propose a simple theoretical framework that models the process of college admissions as an all pay auction to investigate two major questions is there any theoretical rationale for an affirmative action admissions rule how do such rules affect college candidates incentives to invest in academic effort two candidates one a minority and the other a nonminority simultaneously choose their academic efforts human capital investments to compete for a seat in a college we show that an academic quality oriented college prefers to adopt an admissions rule that scales up the test score of the minority relative to the nonminority although this rule is designed purely to maximize the expected academic quality of the incoming class it turns out to favor the minority and create ethnic diversity we show that the unique equilibrium affirmative action admissions rule creates a positive cross group interaction between college candidates incentives to make educational effort

cost reducing r d in oligopoly abstract this paper provides a conjectural variations model to explore competition in cost reducing r d and the nature of the inter firm externalities it is shown that 1 r d investment in a market with price competition becomes optimal if firms expect that changes in their own r d investment are followed by the rival firms 2 the optimal r d subsidies are positive in collusive oligopolies but negative in competitive oligopolies 3 joint r d ventures in oligopoly could reduce total surplus by causing underinvestment and 4 promoting price competition reduces welfare if firms are not collusive in their r d decisions

the stability of the cournot oligopoly model a reassessment abstract the stability properties of the cournot oligopoly model are examined for the continuous adjustment process sufficient conditions for instability are established which are shown to be of significance when the number of firms n is small local and global stability are shown under appropriate conditions which for global stability include the restriction n 5 the proof of global stability corrects a well known proof by f hahn rev econ stud 29 1962 329 331 results for the discrete time adjustment process are reported and the restrictiveness of the model s assumptions are discussed

college assignment as a large contest abstract we develop a model of college assignment as a large contest wherein students with heterogeneous learning costs compete for seats at vertically differentiated colleges through the acquisition of productive human capital we use a continuum model to approximate the outcomes of a game with large but finite sets of colleges and students the continuum approximation lends tractability to a rich model for studying investment incentives in rank order competitions by incorporating two common families of affirmative action mechanisms into our model admissions preferences and quotas we can show that legal admissions preference schemes and illegal quotas have the same sets of equilibria including identical outcomes and investment strategies

politician preferences law abiding lobbyists and caps on political contributions the effect of a contribution cap is analyzed in a political lobbying game where the politician has a policy preference in contrast to the previous literature without politician policy preferences more restrictive binding caps always reduce expected aggregate contributions however the initial imposition of a cap increases contributions if the politician mildly favors the low valuation lobbyist s policy the introduction of policy preferences permits analysis of monied interests policy influence a more restrictive cap makes it more likely that the politician enacts the policy he would have enacted in the absence of lobbying even in cases where expected aggregate contributions increase

affirmative action in a competitive economy abstract we consider a model of endogenous human capital formation with competitively determined wages discrimination is sustainable in equilibrium in the presence of two distinguishable but ex ante identical groups of workers an affirmative action policy consisting of a quota may fail in the sense that there still may be equilibria where groups are treated differently however the incentives to invest for agents in the discriminated group are improved by affirmative action if the initial equilibrium is the most discriminatory equilibrium in the model without the policy the welfare effects are ambiguous it is possible that the policy makes the intended beneficiaries worse off even if the starting point is the most discriminatory equilibrium the expected payoff may decrease for all agents in the target group

affirmative action and dynamics of work ethic preferences this study examines the cultural transmission effects of compensatory discrimination affirmative action policies on work ethic preference dynamics for a population in a caste based segregated economy in which some high paid jobs are reserved for historically disadvantaged lower caste individuals cultural attitudes toward preferences for work loving and leisure loving traits evolve endogenously the compensatory discrimination policies affect differently the preference dynamics for insiders entitled to employment quota and outsiders not entitled to employment quota efficient and inefficient equilibria are possible with larger or smaller proportions of individuals with a work ethic among the insider and outsider populations the model shows that the commonly conceived conclusion that a job reservation policy benefits a disadvantaged group at the cost of efficiency and economic growth is not a necessary outcome jel a12 c62 j71

to each according to markets tournaments and the matching problem with borrowing constraints we compare the performance of markets and tournaments as allocative mechanisms in an economy with borrowing constraints the economy consists of a continuum of individuals who differ in their initial wealth and ability level these must be assigned to a continuum of investment opportunities or inputs of different productivity with perfect capital markets matching is efficient under both mechanisms markets however generate higher aggregate consumption because of the waste associated with the production of signals under tournaments when borrowing constraints are present tournaments dominate markets in terms of matching efficiency and for sufficiently powerful signalling technologies also in terms of aggregate consumption

the incentive effects of affirmative action in a real effort tournament abstract affirmative action policies bias tournament rules in order to provide equal opportunities to a group of competitors who have a disadvantage they cannot be held responsible for its implementation affects the underlying incentive structure which might induce lower performance by participants and additionally result in a selected pool of tournament winners that is less efficient in this paper we study the empirical validity of such concerns in a case where the disadvantage affects capacities to compete we conducted real effort tournaments between pairs of children from two similar schools who systematically differed in how much training they received ex ante on the task at hand contrary to the expressed concerns our results show that the implementation of affirmative action did not result in a significant performance loss for either advantaged or disadvantaged subjects instead it rather enhanced the performance for a large group of participants moreover affirmative action resulted in a more equitable tournament winner pool where half of the selected tournament winners came from the originally disadvantaged group hence the negative selection effects due to the biased tournament rules were at least partially offset by performance enhancing incentive effects

endogeneity in stochastic frontier models copula approach without external instruments this papers considers an alternative estimation procedures for estimating stochastic frontier models with endogenous regressors when no external instruments are available the approach we propose is based on copula function to directly model the correlation between the endogenous regressors and the composed errors estimation of model parameters is done using maximum likelihood monte carlo simulations are used to assess and compare the finite sample performances of the proposed estimation procedures