the role of risk preferences in pay to bid auctions we analyze a new auction format in which bidders pay a fee each time they increase the auction price bidding fees are the primary source of revenue for the seller but produce the same expected revenue as standard auctions assuming risk neutral bidders if risk loving preferences are incorporated in the model expected revenue increases our model predicts a particular distribution of ending prices which we test against observed auction data the degree of fit depends on how unobserved parameters are chosen in particular a slight preference for risk has the biggest impact in explaining auction behavior suggesting that pay to bid auctions are a mild form of gambling this paper was accepted by peter wakker decision analysis

contracting with wealth constrained agents we examine how a project owner optimally selects a project operator and motivates him to deliver an essential noncontractible input e g effort when potential operators are privately informed about their limited wealth truthful revelation of wealth is induced by promising a higher probability of operation and if necessary a greater share of realized profit the larger the nonrefundable bond that a potential operator posts the project owner benefits when total wealth is widely dispersed among potential operators under plausible conditions limited knowledge of wealth is not constraining for the project owner

all pay war we study a model of conflicts and wars in which the outcome is uncertain not because of luck on the battlefield as in standard models but because countries lack information about their opponent in this model expected resource levels and production and military technologies are common knowledge but realized resource levels are private information each country decides how to allocate its resources to production and warfare the country with the stronger military wins and receives aggregate production in equilibrium both comparative and absolute advantages matter a larger resource share is allocated to warfare by the country with a comparative advantage in warfare at relatively low realized resource levels and by the country with an absolute disadvantage in warfare at relatively high realized resource levels from an ex ante perspective the country with a comparative advantage in warfare is more likely to win the war unless its military potential is much lower

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

monotone equilibrium of two bidder all pay auctions redux abstract in this paper we revisit the two bidder asymmetric all pay auction of amann and leininger 1996 by allowing interdependent values and correlated signals both values and signals are distributed on continuous supports we provide conditions for the existence and uniqueness of a monotone pure strategy equilibrium mpse and constructively characterize the mpse when it exists we find that given the marginal distributions of the signals the equilibrium allocation is solely determined by how bidders values depend on their signals in particular the equilibrium allocation does not depend on how bidders signals are correlated

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

ranking disclosure policies in all pay auctions in this paper we study information disclosure policies in all pay auctions with incomplete information two symmetric players have either high or low private value the contest organizer observes players values ex post and can commit ex ante to four different symmetric information policies exhaustively she can fully disclose or conceal the players types and she can disclose their types if and only if when both are high or if and only if when both are low we characterize the unique equilibriums and completely rank the four policies by various criteria we find the full concealment policy extracts highest aggregate expected effort followed by the policy of disclosing types if and only if when both are high the policy of disclosing types if and only if when both are low induces least aggregate expected effort players enjoy highest expected payoffs under the policy of disclosing types if and only if when both are low the other three policies yield the same expected payoffs to players in terms of prize allocation efficiency the full concealment policy is ranked highest and the full disclosure policy is ranked lowest in between the other two policies rankings depend on the probability of high type jel c72 d44 d82 d83 j48

explaining patterns of candidate competition in congressional elections the low probability of defeating incumbent members of congress deters potentially strong rivals from challenging them yet almost all incumbents are challenged usually by opponents who lack previous experience in office and run underfinanced ineffectual campaigns but if strong challengers are deterred from challenging incumbents why are not weak challengers who have even less chance of unseating an incumbent the model developed in this paper indicates that there is a simple reason why weak candidates choose to run against incumbents they do so in order to maximize their probability of getting elected to congress together with the findings of previous researchers the results of our analyses of congressional primary data from 1980 through 1984 provide strong support for the major hypotheses derived from our model

using contests to allocate pollution rights in this paper we advocate a new initial allocation mechanism for a tradable pollution permit market we outline a permit allocation contest pac that distributes permits to firms based on their rank relative to other firms this ranking is achieved by ordering firms based on an observable external action where the external action is an activity or characteristic of the firm that is independent of their choice of emissions in the tradable permit market we argue that this mechanism has a number of benefits over auctioning and grandfathering using this mechanism efficiently distributes permits allows for the attainment of a secondary policy objective and has the potential to be more politically appealing than existing alternatives

us regionalism and rationality regionalism continues to be proffered as a policy prescription for us metropolitan ills while many urban scholars discuss the benefits of regional approaches to problem solving others question and sometimes dismiss the possibility of widespread comprehensive regionalism this latter group generally takes one of two perspectives first they argue that local autonomy and fragmentation prohibit regional collaboration secondly rational choice theorists claim jurisdiction centred economic interest spurs intraregional competition and impedes cooperation although both perspectives can be criticised as overdeterministic they appear to be supported by the limited number of examples of comprehensive metropolitan co operation in the us this article identifies a theoretical connection and empirical similarity between these views of impediments to regionalism the author argues that strategies suggested by rational based collective action theory apply to either the autonomy or competition argument however

information sharing in private value lottery contest we investigate players incentives to disclose information on their private valuations of the prize ahead of a rent seeking contest information sharing arises in equilibrium if types are concentrated enough whereas sharing information is strictly dominated if types are sufficiently dispersed

optimal crowdsourcing contests abstract we study the design and approximation of optimal crowdsourcing contests crowdsourcing contests can be modeled as all pay auctions because entrants must exert effort up front to enter unlike all pay auctions where a usual design objective would be to maximize revenue in crowdsourcing contests the principal only benefits from the submission with the highest quality we give a theory for optimal crowdsourcing contests that mirrors the theory of optimal auction design the optimal crowdsourcing contest is a virtual valuation optimizer the virtual valuation function depends on the distribution of contestant skills and the number of contestants we also compare crowdsourcing contests with more conventional means of procurement in this comparison crowdsourcing contests are relatively disadvantaged because the effort of losing contestants is wasted we show that the total wasted effort is at most the maximum effort which implies that crowdsourcing contests are a 2 approximation to an idealized model of conventional procurement

private versus complete information in auctions abstract we show that in several but not all standard auctions i private independent values and ii complete information are payoff equivalent the first price auction generates the same revenue under i and ii the all pay auction has lower revenue under ii

bid costs and endogenous bid caps we study contests where several privately informed agents bid for a price all bidders bear a cost of bidding that is an increasing function of their bids and moreover bids may be capped we show that regardless of the number of bidders if agents have linear or concave cost functions then setting a bid cap is not profitable for a designer who wishes to maximize the average bid on the other hand if agents have convex cost functions i e an increasing marginal cost then affectively capping the bids is profitable for a designer facing a sufficiently large number of bidders

two player asymmetric contests with ratio form contest success functions i examine players equilibrium effort levels in two player asymmetric contests with ratio form contest success functions i first characterize the nash equilibrium of the simultaneous move game i show that the equilibrium effort ratio is equal to the valuation ratio and that the prize dissipation ratios for the players are the same i also show that the prize dissipation ratio for each player is less than or equal to the minimum of the players probabilities of winning at the nash equilibrium and thus never exceeds a half then i examine how the equilibrium effort ratio the prize dissipation ratios and the players equilibrium effort levels respond when the players valuations for the prize or their abilities change jel d72 c72 i introduction a contest is a situation in which players compete with one another by expending irreversible effort to win a prize typical examples are various types of rent seeking contests competition among firms to win a monopoly rent secured under government protection or by a government procurement contract competition between domestic and foreign firms to obtain governmental trade policies favorable to them competition among firms to acquire a rent generated by rights of ownership to an import quota and competition among firms to capture rents created by governmental decisions to establish tariffs or other trade barriers other examples of contests include auctions patent races research and development r d competition among firms litigation competition for jobs among job candidates competition among candidates to win promotion to higher ranks election campaigns between political candidates and competition between local governments to invite business firms government institutions or government owned corporations into their districts naturally due to their prevalence and importance in economies such contests have been studied by many economists loury 1979 lee and wilde 1980 tullock 1980 rogerson 1982 rosen 1986 appelbaum and katz 1987 dixit 1987 hillman and riley 1989 hirshleifer 1989 ellingsen 1991 nitzan 1991 1994 krishna and morgan 1997 che and gale 1998 hurley and shogren 1998 and konrad 2000 to name a few in this vast literature on the theory of contests one of the main issues is how much effort do the players exert in pursuit of the prize indeed it is of great interest because the players effort levels determine the profitability of the players engaging in the contest and in some cases they are revenues collected by the contest organizer or bribes given to government officials furthermore they account for other important outcomes of the contest for example in a rent seeking contest efforts expended by the players are viewed as social costs due to rent seeking activities so that total effort level is a measure of economic efficiency in an r d contest effort levels expended by the players these are r d expenditures of the firms determine the expected date of invention this article also addresses the issue how much effort do the players exert in pursuit of the prize but it differs from previous research by dealing with contests with ratio form contest success functions 1 specifically the novelty of this article is to consider two player asymmetric contests in which each player s probability of winning is a function of the ratio of the two players effort levels two player contests with ratio form contest success functions or two player contests that can be best modeled with ratio form contest success functions are easily observed in the real world examples include various types of two player rent seeking contests litigation between a plaintiff and a defendant election campaigns between two parties or candidates and r d competition between two firms consider for example a rent seeking contest in which two firms potential monopolists compete with each other to win a government monopoly franchise contract

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

the optimal initial allocation of pollution permits a relative performance approach the initial allocation of pollution permits is an important aspect of emissions trading schemes we generalize the analysis of bohringer and lange 2005 eur econ rev 49 8 2041 2055 to initial allocation mechanisms that are based on inter firm relative performance comparisons including grandfathering and auctions as well as novel mechanisms we show that using firms historical output for allocating permits is never optimal in a dynamic permit market setting while using firms historical emissions is optimal only in closed trading systems and only for a narrow class of allocation mechanisms instead it is possible to achieve social optimality by allocating permits based only on an external factor which is independent of output and emissions we then outline sufficient conditions for a socially optimal relative performance mechanism

interjurisdictional determinants of property assessment regressivity the previous literature on vertical equity in property assessment has focused on parcel level data within a single area and has produced mixed conclusions on whether the process is progressive or regressive this paper advances the discussion to identifying what differences between jurisdictions might account for the mix of findings using data from virginia cities and counties between 2001 and 2007 evidence is presented that indicates having tax maps available online appointed assessors and senior citizens all influence the level of regressivity observed between jurisdictions overall the results support the hypothesis that interjurisdictional differences are determinants of vertical inequity

using multimember district elections to estimate the sources of the incumbency advantage in this article we use a novel research design that exploits unique features of multimember districts to estimate and decompose the incumbency advantage in state legislative elections like some existing related studies we also use repeated observations on the same candidates to account for unobserved factors that remain constant across observations multimember districts have the additional feature of copartisans competing for multiple seats within the same district this allows us to identify both the direct office holder benefits and the incumbent quality advantage over nonincumbent candidates from the same party we find that the overall incumbency advantage is of similar magnitude as that found in previous studies we attribute approximately half of this advantage to incumbents quality advantage over open seat candidates and the remainder to direct office holder benefits however we also find some evidence that direct office holder benefits are larger in competitive districts than in safe districts and in states with relatively large legislative budgets per capita

optimal prize rationing strategy in all pay contests with incomplete information abstract a contest organizer e g a government regulatory agency is endowed with the capacity to provide unlimited homogeneous prizes e g medals that he can use to incentivize contestants to exert productive effort in an all pay auction with incomplete information each agent at most wins one prize we study the optimal number of prizes the organizer should grant in order to induce maximal expected total effort or expected highest effort from agents both are single peaked under mild regularity conditions when players abilities follow a family of beta distributions expected highest effort maximization requires a smaller set of prizes to be awarded for both goals the optimal number of prizes weakly increases when the pool of contestants expands or contestant quality improves

auctions in which losers set the price we study auctions of a single asset among symmetric bidders with affiliated values we show that the second price auction minimizes revenue among all efficient auction mechanisms in which only the winner pays and the price only depends on the losers bids in particular we show that the k th price auction generates higher revenue than the second price auction for all k 2 if rationing is allowed with shares of the asset rationed among the t highest bidders then the t 1 st price auction yields the lowest revenue among all auctions with rationing in which only the winners pay and the unit price only depends on the losers bids finally we compute bidding functions and revenue of the k th price auction with and without rationing for an illustrative example much used in the experimental literature to study first price second price and english auctions

a symmetric two player all pay contest with correlated information we construct both monotonic and non monotonic symmetric bayesian nash equilibria for a two player all pay contest with binary types and correlated information structures we also employ a class of parametric distributions to illustrate our equilibrium construction explicitly and to derive some comparative statics results

disclosure policy in a multi prize all pay auction with stochastic abilities this paper investigates whether a contest organizer should disclose private information about bidders abilities in a multi prize all pay auction bidders abilities are randomly distributed and observed by the contest organizer the organizer decides whether to disclose this information publicly we find that concealing the information elicits higher expected total effort regardless of the distribution of abilities in addition we find that the rent dissipation rate of the contest does not depend on the disclosure policy

the max min group contest weakest link group all pay auction we investigate a group all pay auction in which each group s effort is represented by the minimum among the effort levels exerted by the group members and the prize is a group specific public good we fully characterize the symmetric equilibria for two groups there are four types of equilibria the pure strategy equilibria in which all active players exert the same effort the semi pure strategy equilibria in which the players in a group play the same pure strategy whereas those in the other group play the same mixed strategy the nondegenerate mixed strategy equilibria with continuous support and the nondegenerate mixed strategy equilibria with discontinuous support we then analyze a general contest with n groups

on disclosure policy in contests with stochastic entry we study how a contest organizer who seeks to maximize participant effort should disclose the information on the actual number of contestants in an imperfectly discriminatory contest with stochastic entry when each potential contestant has a fixed probability of entering the contest the optimal disclosure policy depends crucially on the properties of the characteristic function h f f where f is the impact function the contest organizer prefers full disclosure full concealment if h is strictly concave strictly convex however the expected equilibrium effort is independent of the prevailing information disclosure policy if a linear h tullock contest applies

how not to raise money we show that standard winner pay auctions are inept fund raising mechanisms because of the positive externality bidders forgo if they top another s high bid revenues are suppressed as a result and remain finite even when bidders value a dollar donated the same as a dollar kept this problem does not occur in lotteries and all pay auctions where bidders pay irrespective of whether they win we introduce a general class of all pay auctions rank their revenues and illustrate how they dominate lotteries and winner pay formats the optimal fund raising mechanism is an all pay auction augmented with an entry fee and reserve price

a theory of exit in duopoly we develop a duopoly model in which exit occurs because of the existence of fixed costs or opportunity costs each firm enters the market knowing its own cost but not that of its opponent as times goes on each firm becomes increasingly pessimistic about the cost of its remaining rival the time of exit is the only strategic variable so that our model is a war of attrition in contrast to the classic war of attrition however we assume that with positive probability each firm s costs may be low enough that staying in forever is a dominant strategy thus our model unlike the classic one has a unique equilibrium

disclosure policies in research contests with stochastic entry abstract this paper models research contests as an all pay auction with stochastic entry and analyzes the effect of disclosing the actual number of participants on the expected winning bid i find that the classic disclosure irrelevance principle on expected revenue does not extend to the ranking on expected winning bid the ranking on expected winning bid crucially depends on the number of potential bidders participation probabilities and the distribution of bidders valuations when there are more than two potential bidders fully concealing the actual number of participants elicits a higher expected winning bid if potential bidders have low participation probabilities whereas the rank reverses if bidders have high participation probabilities and high chances of being high types

old voters new voters and the personal vote using redistricting to estimate the incumbency advantage we provide new estimates of the size of the personal vote in u s house elections from 1872 to 1990 we take advantage of the natural experiment that attends decennial redistricting every ten years most incumbents are given new districts that contain a combination of old and new territory by contrasting an incombent s vote in the new part of the district with his or her vote in the old part of the district we can estimate the magnitude of the personal vote the vote that the incumbent receives because he or she represented the voters in the past our estimates confirm prior work that shows that a large fraction of the incumbency advantage owes to the personal vote as opposed to challenger quality unlike past research we are able to estimate the relationship between district partisanship and the personal vote we find a significant interaction which shows that incumbents develop larger personal votes in areas where they are electorally most vulnerable here is no doubt that incumbents today have a substantial advantage over nonincumbents in u s house elections the overall size of this advantage has been fairly well established as has the fact that incumbents electoral strength has increased dramatically over the postwar period measured in terms of vote share the overall incumbency advantage grew from a modest 1 3 percentage point edge in the 1940s and early 1950s to a 7 10 percentage point edge in the 1980s and early 1990s 1 there is much less agreement about the sources of the incumbency advantage and the causes of its growth congressional scholars have identified a variety of factors that may be responsible which can be grouped into three broad categories the first and the focus of this paper is electoral advantage that stems from a legislator s homestyle members of the house are reputedly very responsive to their constituents in turn their constituents reward them with their votes mayhew 1974b fenno 1974 and others detail the sorts of activities that legislators do to build a widely known and respected name including casework frequent visits to the district position taking on issues and securing federal benefits a second source of the incumbency advantage is candidate quality incumbents may win because they are the best candidates running and they do noticeably worse when they face state legislators and other experienced challengers finally incumbency may simply act as a voting cue a label which voters rely on because party has become less relevant assessing the importance of these different factors has significant implications for our normative evaluations of the modern congress and our understanding

uniqueness and existence of equilibrium in auctions with a reserve price abstract we prove existence and uniqueness of equilibrium for a general class of two player bidding games we apply our results to the first price auction the combination of first and second price auctions the war of attrition the all pay auction as well as combinations of the latter two auction forms we also treat the first price auction without risk neutrality our results deal with the asymmetric affiliated common values environment in the case where signals are independent our results apply to all equilibria when signals are not independent our uniqueness results hold in the class of nondecreasing strategy equilibria journal of economic literature classification number d44

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

modeling and analysis of an auction based logistics market we consider a logistics spot market where the transportation orders from a number of firms are matched with two types of carriers through a reverse auction in the spot market local carriers compete with in transit carriers that have lower costs in order to analyze the effects of implementing a logistics spot market on these three parties firms local carriers and in transit carriers and also the effects of various system parameters we develop a two stage stochastic model we first model the auction in a static setting and determine the expected auction price based on the number of carriers engaging in the auction and their cost distributions we then develop a continuous time markov chain model to evaluate the performance of the system in a dynamic setting with random arrivals and possible abandonment of orders and carriers by combining these two models we evaluate the performance measures such as the expected auction price price paid to the carriers distribution of orders between local and in transit carriers and expected number of carriers and orders waiting at the logistics center in the long run we present analytical and computational results related to the performance of the system and discuss operation of such a logistics spot market in turkey

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 sunk cost fallacy in penny auctions this article theoretically and empirically analyses behaviour in penny auctions a relatively new auction mechanism as in the us dollars or war of attrition players in penny auctions commit higher non refundable costs as the auction continues and only win if all other players stop bidding i first show that in any equilibria that does not end immediately players bid probabilistically such that the expected profit from every bid is zero then using two large data sets covering 166 000 auctions i calculate that average profit margins actually exceed 50 to explain this deviation i incorporate a sunk cost fallacy into the theoretical model to generate a set of predictions about hazard rates and player behaviour which i confirm empirically while players do slowly learn to correct this bias and there are few obvious barriers to competition activity in the market is rising and concentration remains relatively high

why did the incumbency advantage in u s house elections grow theory a simple rational entry argument suggests that the value of incumbency consists not just of a direct effect reflecting the value of resources such as staff attached to legislative office but also of an indirect effect reflecting the fact that stronger challengers are less likely to contest incumbent held seats the indirect effect is the product of a scare off effect the ability of incumbents to scare off high quality challengers and a quality effect reflecting how much electoral advantage a party accrues when it has an experienced rather than an inexperienced candidate hypothesis the growth of the overall incumbency advantage was driven principally by increases in the quality effect methods we use a simple two equation model estimated by ordinary least squares regression to analyze u s house election data from 1948 to 1990 results most of the increase in the incumbency advantage at least down to 1980 came through increases in the quality effect i e the advantage to the incumbent party of having a low quality challenger this suggests that the task for those wishing to explain the growth in the vote denominated incumbency advantage is to explain why the quality effect grew it also suggests that resource based explanations of the growth in the incumbency advantage cannot provide a full explanation

challenger entry and voter learning we develop a model of strategic interaction between voters and potential electoral challengers to sitting incumbents in which the very fact of a costly challenge conveys relevant information to voters given incumbent failure in office challenger entry is more likely but the threat of entry by inferior challengers creates an incentive for citizens to become more politically informed at the same time challenges to incumbents who perform well can neutralize a voter s positive assessment of incumbent qualifications how a voter becomes politically informed can in turn deter challengers of different levels of competence from running depending on the electoral environment the model permits us to sharpen our understanding of retrospective voting the incumbency advantage and the relationship between electoral competition and voter welfare while pointing to new interpretations of and future avenues for empirical research on elections

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

rigging the lobbying process an application of the all pay auction textabstractin a world where a politician can explicitly auction off a prize to the high bidder the standard auction literature can be used to analyse political behavior the justice system however precludes politicians from explicitly selling the prize to the highest bidder thus politicians cannot let it become public knowledge that they are in the business of selling political favors an institution has emerged in political markets to overcome this constraint which are termed as lobbying lobbyists make implicit payments to the politician through campaign contributions if these up front payments were rebated to those failing to receive the prize it would be clear that the politician was selling favors this article has examined an interesting principle arising in all pay auctions this principle states that a politician wishing to maximize political rents may find it in his best interest to exclude certain lobbyists from participating in the lobbying process particularly lobbyists valuing most the political prize

asymmetric all pay auctions with interdependent valuations abstract i show that a unique equilibrium exists in an asymmetric two player all pay auction with a discrete signal structure correlated signals and interdependent valuations the proof is constructive and the construction can be implemented as a computer program and be used to derive comparative statics i also characterize the set of equilibria when a reserve price is introduced

sequential correlated equilibria in stopping games in many situations such as trade in stock exchanges agents have many opportunities to act within a short interval of time the agents in such situations can often coordinate their actions in advance but coordination during the game consumes too much time an equilibrium in such situations has to be sequential in order to handle mistakes made by players in this paper we present a new solution concept for infinite horizon dynamic games which is appropriate for such situations a sequential normal form correlated approximate equilibrium under additional assumptions we show that every such game admits this kind of equilibrium

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

all pay auctions with a buy price option all pay auctions this paper studies all pay auctions in which there is a buy price option for bidders to guarantee purchases at a seller specified price we analyze symmetric increasing bidding equilibria in the first and second price all pay auctions with the buy price option while the optimal buy price in the second price is higher than are those in the first price all pay auction both formats maintain the same expected profit with an endogenous entry process all pay auctions with the buy price can attract more consumers and ultimately reach a higher expected profit than does the uniform posted price selling mechanism jel d44 l11 l81

multi stage sequential all pay auctions abstract we study multi stage sequential all pay contests auctions where heterogeneous contestants are privately informed about a parameter ability that affects their cost of effort we characterize the perfect bayesian equilibrium of these contests and analyze the effect of the number of contestants and their types on the contestants expected highest effort

the war of attrition and the revelation of valuable information we provide a simple example demonstrating that the unconditional revelation information in a war of attrition with private budget constraints can decrease expected revenue our example suggests that information non revelation can counteract the adverse revenue impact of budget constraints and almost counterbalance their otherwise negative impact

equilibrium of affiliated value second price auctions with financially constrained bidders the two bidder case we study an affiliated value second price auction with two financially constrained bidders we prove the existence of a symmetric equilibrium under quite general conditions comparative static results are provided journal of economic literature classification number d44

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

when are stabilizations delayed alesina drazen revisited abstract in an influential article alesina and drazen 1991 why are stabilizations delayed american economic review 81 1170 1188 model delay of stabilization as the result of a struggle between political groups supporting reform plans with different distributional implications in this paper we show that ex ante asymmetries in the costs of delay for the groups will reduce the probability of conflict and will lead to a shorter expected delay accurate common information about the cost of delay may lead to no delay at all in an asymmetric conflict a wider divergence in the distributional implications of reform will reduce the probability of conflict but will lead to a longer expected delay we motivate the asymmetric model of delay by reference to latin american episodes of the 1980s

the effort maximizing contest with heterogeneous prizes we establish the effort maximizing rule of allocating heterogeneous prizes when contestants privately observe their effort efficiencies with ex ante symmetric players and increasing virtual effort efficiency an all pay auction maximizes the total expected effort

contests with stochastic abilities we consider the properties of perfectly discriminating contests in which players abilities are stochastic but become common knowledge before efforts are expended players whose expected ability is lower than that of their rivals may still earn a positive expected payoff from participating in the contest which may explain why they participate we also show that an increase in the dispersion of a player s own ability generally benefits this player it may benefit or harm his rival but cannot benefit the rival more than it benefits himself we also explore the role of stochastic ability for sequential contests with the same opponent multibattle contests and with varying opponents elimination tournaments and show that it reduces the strong discouragement effects and holdup problems that may otherwise emerge in such games high own ability dispersion selects such players into the contest and favors them in elimination contests jel d72 d74 i introduction manytournamentsarecharacterizedbymultiple rounds with or without the elimination of some candidates in earlier stages of the process of determining a final winner in the political context electionprocessesthatdetermineparty leadersorpoliticalleadersmoregenerallyconsist ofmultipleconteststages intheracefortheu s presidency severalcompetitionstagesgradually narrowdownthenumberofcompetitors 1 inter

a decentralized market with common values uncertainty non steady states we analyse a market where i trade proceeds by random and anonymous pairwise meetings with bargaining ii agents are asymmetrically informed about the value of the traded good and iii no new entrants are allowed once the market is open we show that information revelation and efficiency never obtain in equilibrium even as discounting is removed this holds whether the asymmetry is two sided or one sided in some cases there exist equilibria where a substantial amount goes untraded this contrasts with the earlier literature which was based on the steadystate equilibria of a model where agents enter the market every period

caps in sequential contests i introduction in many competitions we can often observe situations where severe constraints are imposed on contestants for example in the u s electoral campaign there is a specific maximum campaign contribution that a single agent can make to a candidate 1 in sports where equipment plays a major role e g sailing motor races etc explicit or implicit technological constraints are imposed on the allowed equipment also several sports leagues e g the national basketball association nba implement a salary cap which places a limit on the total amount of money a team can spend on players salaries salary caps are clearly binding and teams are sometimes forced to trade expensive players in order to make place for other needed team members the usual reason for applying salary caps is that they facilitate even competition between small and large city teams otherwise large city teams could pay more buy the best talent and ultimately destroy any semblance of competition in the league the goal of caps imposed by designers of competitions is to create what we call a competitive balance so that many players have a chance to win and not necessarily the strongest ones in addition if the contest is more competitively balanced the uncertainty of the outcome is higher and therefore the contest is more attractive furthermore competitive balance may lead to an improvement of the expected total performance of all the players rather than just the performance of the top player several other ways have been suggested to enhance the competitive balance in contests for example baye kovenock and de vries 1993 showed that in all pay auctions contests by excluding the strongest player the player with the highest value of winning the contest becomes more competitively balanced and then the players expected total bid may increase moldovanu and sela 2001 found that in all pay auctions under incomplete information when cost functions are convex several positive prizes may be optimal for a designer who wishes to maximize the expected total bid in other words by increasing the number of the prizes the chances of the players with relatively low values of winning to win one of the prizes increase and therefore these players will increase their efforts accordingly cohen kaplan and sela 2008 studied all pay auctions with effort dependent rewards under incomplete information and demonstrated that when the designer maximizes the total bid effort and when there is a sufficiently large number of contestants the optimal reward decreases in the contestants bid this means that a designer will offer higher prizes to the players with relatively low values of winning those who exert lower efforts than to the players with relatively high values of winning those who exert higher efforts such a distribution of prizes balances the bids submitted by the players with high and low values of winning we focus here on the role of bid caps to enhance the competitive balance in contests relatively weak players players with low abilities or low values of winning usually exert low efforts which are lower than the level of the bid cap imposed by a designer in a contest with a bid cap if these players exert an effort that is equal to the bid cap they will have a higher chance to win since no one can exert a higher effort than the bid cap thus the weak players exert more effort than they would in a contest without a bid cap however relatively strong players players with high abilities or high values of winning usually exert higher efforts than the level of the bid cap thus the strong players exert less effort than they would in a contest without a bid cap hence the effect of the bid cap on the players total effort depends on the trade off between the increase of the weaker players efforts and the decrease of the stronger players efforts to be fully effective the bid cap system must guarantee that as many players as possible raise their efforts to the level of the bid cap and as less as possible reduce their efforts to this level

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

a theory of competition among pressure groups for political influence this paper presents a theory of competition among pressure groups for political influence political equilibrium depends on the efficiency of each group in producing pressure the effect of additional pressure on their influence the number of persons in different groups and the deadweight cost of taxes and subsidies an increase in deadweight costs discourages pressure by subsidized groups and encourages pressure by taxpayers this analysis unifies the view that governments correct market failures with the view that they favor the politically powerful both are produced by the competition for political favors

information sharing in a contest game with group identity abstract in this paper we study a private information contest game with two stages in stage 1 players simultaneously choose whether to announce their group identity and in stage 2 each player simultaneously plays a within group lottery contest and an across group contest players information sharing incentives are analyzed and all symmetric equilibria of the game are fully characterized our results show that 1 full disclosure by both types is always one of the equilibria 2 full concealment by both types can be supported as an equilibrium information strategy when the relative magnitude of high and low valuations is large and when such a relative magnitude is small there is an equilibrium in which the high type randomizes and the low type fully conceals

party cues in elections under multilevel governance theory and evidence from us states this is the authors accepted refereed and final manuscript to the article the final publication is available at www elsevier com

a game theoretic analysis of skyscrapers abstract skyscrapers are urbanism in the extreme but they have received surprisingly little direct attention in urban economics the standard urban model emphasizes differentials in access across locations which determine land price differentials and building heights this explanation leaves out an important force that appears to have historically influenced skyscraper construction an inherent value placed on being the tallest in this paper we present a game theoretic model of skyscraper development that captures this additional force the model predicts dissipative competition over the prize of being tallest a prediction consistent with the historical record the paper discusses the implications of this result for the nature and efficiency of urban development and for the operation of urban real estate markets

contests with three or more heterogeneous agents abstract we study monotone equilibrium behavior in contests with observable effort bid where three or more participants have distinct risk attitudes and the monetary value for the prize of each is drawn independently from a distinct distribution these differences can either cause a player to drop out that is always choose zero effort regardless of his valuation or use all or nothing strategies with discontinuous effort choice neither complete drop out nor discontinuous bidding with finitely many gaps is consistent with pure strategy monotone bayesian nash equilibrium in a contest with either ex ante identical players or only two distinct participants

auctions versus negotiations which is the more profitable way to sell a company an auction with no reserve price or an optimally structured negotiation with one less bidder we show under reasonable assumptions that the auction is always preferable when bidders signals are independent for affiliated signals the result holds under certain restrictions on the seller s choice of negotiating mechanism the result suggests that the value of negotiating skill is small relative to the value of additional competition the paper also shows how the analogies between monopoly theory and auction theory can help derive new results in auction theory jel d44 g34 there are close analogies between standard price theory and the theory of auctions in an absolute english auction in which the price rises continuously until only one bidder remains and the seller is required to accept the final bid the sale price equals the lowest competitive price at which supply equals demand in the theory of optimal auctions the seller is treated as a monopolist who can choose any

full extraction of the surplus in bayesian and dominant strategy auctions we consider auctions for a single indivisible object in the case where the bidders have information about each other which is not available to the seller we show that the seller can use this information to his own benefit and we completely characterize the environ ments in which a well chosen auction gives him the same expected payoff as that obtainable were he able to sell the object with full information about each bidder s willingness to pay we provide this characterization for auctions in which the bidders have dominant strate gies and for those where the relevant equilibrium concept is bayesian nash in both set ups the existence of these auctions hinges on the possibility of constructing lotteries with the correct properties we consider the situation in which an agent the seller possesses one indivisible unit of a good to which he attaches no value but the good has value to a number of potential buyers and its transfer to one of them would increase social welfare in particular the transfer to the buyer with the highest valuation maximizes social welfare in this paper we completely characterize environments in which the seller can design an auction that will enable him to capture for himself the full increase in social welfare induced by the transfer of the good to the bidder with the highest willingness to pay if the seller had full information about the reservation prices of potential buyers his optimal selling strategy would be very simple he would announce a price equal or very close to the highest reservation value the optimal strategy for the bidder with the highest evaluation would be to accept the offer note that we are treating a situation in which the seller can commit himself to a price as a result of the exchange the utility of the seller increases by the full amount of the increase in social welfare and he has been able to fully extract the surplus in many circumstances however a seller has only imperfect knowledge of the buyers willingnesses to pay in this case he must find some mechanism or auction which will enable him to maximize his benefit from the sale of the object the auction literature starts with this observation and shows how the seller can by an astute choice of auction extract the largest possible fraction of the surplus in general the literature has shown that this proportion is strictly less than one in some circumstances the bidders will have information about each other which is not available to the seller for instance in auctions for petroleum drilling rights bidders know the results of geological tests which they have

bidding for a group specific public good prize abstract we examine the equilibrium effort levels of individual players and groups in a contest in which two groups compete with each other to win a group specific public good prize the players choose their effort levels simultaneously and independently and the winning group is determined by the selection rule of all pay auctions we first prove nonexistence of a pure strategy nash equilibrium and then construct a mixed strategy nash equilibrium at the nash equilibrium the only active player in each group is a player whose valuation for the prize is the highest in that group all the other players expend zero effort and the equilibrium effort levels depend solely on two values the highest valuation for the prize in each group

estimating incumbency advantage without bias in this paper we prove theoretically and demonstrate empirically that all existing measures of incumbency advantage in the congressional elections literature are biased or inconsistent we then provide an unbiased estimator based on a very simple linear regression model we apply this new method to congressional elections since 1900 providing the first evidence of a positive incumbency advantage in the first half of the century incumbency advantage is the most frequently studied factor in the last 15 years of congressional elections research discovery of the increase in incum bency advantage has sparked controversy over its origins historical pattern cur rent magnitude and electoral democratic and policy consequences even the most basic descriptive information about incumbency advantage is flawed be cause every previous measure based on aggregate data in this literature is plagued by selection bias inconsistencies and inefficiencies we prove this result and also propose a new unbiased and statistically efficient measure that is very easy to calculate congressional elections from 1900 to the present fit our theoretical model our empirical reanalyses do not challenge the existing scholarly consen sus that incumbency advantage is much larger than it once was however we do challenge the prevailing belief that incumbency advantage was nonexistent and the evidence that it was negative in house elections during the first half of this century alford and brady 1988 we show instead that the average advantage of incumbency in these elections was about two percentage points in section 1 of this paper we define incumbency advantage and section 2 gives an intuitive sense of the problems identifying it even in ideal electoral sys tems section 3 formally proves that sophomore surge and retirement slump are biased estimates of incumbency advantage and section 4 briefly reveals the flaws

an analysis of the war of attrition and the all pay auction we study the war of attrition and the all pay auction when players signals are affiliated and symmetrically distributed we a find sufficient conditions for the existence of symmetric monotonic equilibrium bidding strategies and b examine the performance of these auction forms in terms of the expected revenue accruing to the seller under our conditions the war of attrition raises greater expected revenue than all other known sealed bid auction forms journal of economic literature classification numbers d44 d82 1997 academic press

all pay auctions with certain and uncertain prizes abstract we study all pay auctions with multiple prizes the players have the same value for all the certain prizes except for one uncertain prize for which each player has a private value we characterize the equilibrium strategy and show that independent of the ranking of the uncertain prize if the uncertain prize is not the lowest one a player s effort as well as his expected payoff increase in his value for the uncertain prize otherwise if this prize is the lowest one we obtain that a player s effort may decrease in his value for the uncertain prize but his expected utility increases

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

public choice when services are costs the divergent case of assessment administration despite a strong body of empirical support many political scientists remain suspicious of public choice theory that suspicion is often focused on the tendency of public choice proponents to generalize an ideal institutional structure to nearly every policy area they examine this arises in part because public choice analysts tend to study goods and services that can be characterized by a single specification of self interest this paper applies public choice analysis to property tax assessment administration a local government service with political characteristics quite unlike those commonly examined to assess the flexibility of the model and the generalizability of its usual recommendations on institutional stucture surprisingly application of public choice theory in this case leads to a set of institutional recommendations similar to those associated with traditional reform theory