welfare properties of strategic r d investments in hotelling models abstract in linear city models if firms are allowed not allowed to locate outside the linear city they engage in excessive insufficient r d investments from the normative viewpoint this implies that the feasible set of locations drastically affects their investments

sent seeking with private values we study a rent seeking contest in which the players valuations of the prize are private information we determinea bayesian equilibrium and give conditions under which theequilibrium exists although players are ex ante symmetric increased possibilities for ex post lopsidedness lead toless aggressive bidding lopsidedness increases as players values become less positively correlated or as the variationin possible values increases we also compare theprivate information contest to a related public informationcontest in which the realizations of values are commonknowledge the contests are equally efficient and players areindifferent between the two but risk averse sellers of theprize are not

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

asymmetric all pay auctions with incomplete information the two player case abstract we prove existence and uniqueness of bayesian equilibrium for a class of generally asymmetric all pay auctions with incomplete information due to its importance in applications some prominence is given to the first price all pay auction for which a detailed characterization of equilibrium and an approximation to equilibrium of its well studied complete information version are supplied furthermore we relate our uniqueness result to the well known multiplicity of equilibria in the war of attrition second price all pay auction which emerges as a limit point of the class of two player auction games considered journalof economic literature classification numbers d44 c62 c72

how to split the pie optimal rewards in dynamic multi battle competitions abstract multi battle competitions are ubiquitous in real life in this paper we examine the effort maximizing reward design in sequentially played multi battle competitions between two players the organizer has a fixed prize budget and rewards players contingent on the number of battles they win in a three battle contest a full spectrum of contest technologies in the tullock family is accommodated we find that the optimal design varies with the discriminatory power of the contest technology in particular when it is in the low range winner take all is optimal for the intermediate range as discriminatory power increases the optimal prize structure evolves continuously from winner take all to the proportional division rule due to the need to mitigate the growing momentum discouragement effect for the high range a wide span of prize structures extracts full surplus and is thus optimal several robustness checks confirm that mitigating the momentum discouragement effect is essential for effort maximizing prize design in dynamic multi battle contests

racing with uncertainty and strategic interaction between competitors as the race unfolds most of the existing literature examines one or other of these features but not the two combined our aim is to see how the efforts of competitors in a race vary with the intensity of rivalry between them in our principal model whch is of a one dimensional race it is shown that the leader in the race makes greater efforts than the follower and efforts increase as the gap between competitors decreases under certain conditions the same results hold in our second related model which is of a two dimensional race

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

primaries and the new hampshire effect candidates for u s presidential elections are determined through sequential elections in single states the primaries we develop a model in which candidates can influence their winning probability in electoral districts by spending money on campaigning the equilibrium replicates several stylized facts very well campaigning is very intensive in the first district the outcome of the first election then creates an asymmetry in the candidates incentives to campaign in the next district which endogenously increases the equilibrium probability that the first winner wins in further districts on the normative side our model oers a possible explanation for the sequential organization it leads in expectation to a lower level of advertising expenditures than simultaneous elections moreover if one of the candidates is the more eective campaigner sequential elections also perform better with regard to the selection of the best candidate

the social economic and environmental implications of biomass ethanol production in china a multi regional input output based hybrid lca model abstract as an alternative to conventional liquid fuels bioethanol holds the promise of transitioning to a clean and low carbon energy future china s bioethanol industry is at its nascent stage in this study we developed a hybrid life cycle assessment model that integrates the multi regional input output mrio approach and specific production data to evaluate the social economic and environmental i e the triple bottom line tbl impacts of the bioethanol sector in china s economic systems the mrio model was constructed using the 2012 mrio table and the data for the typical technologies of bioethanol production were leveraged to be specific we evaluated employment creation economic stimulus and energy use of bioethanol production in 28 scenarios in henan province the results show that compared to petroleum refining bioethanol production is more effective for economic stimulus and energy saving but less effective at job creation the impact of bioethanol production varies by technologies for every 1 million yuan of bioethanol production in china economic system first generation technology offers a projected 1 92 million yuan in economic growth and job creation of 2 06 full time equivalent while the second generation technology offers a lower energy consumption 1 19 tj in most scenarios the upstream sectors account for more than half of the tbl impacts of biofuel production this study helps to quantify the tbl impacts associated with the gasoline to bioethanol transition in china envisions the green opportunities for impact mitigation and sheds light on the potential direction for robust planning and policy making to advance the bioethanol industry s development

congestion reducing investments and economic welfare in a hotelling model abstract we investigate optimal quality provision where quality is determined by congestion duopolists make congestion reducing investments and then compete in prices we find that an unregulated market leads to insufficient investment and that price cap below the equilibrium price eliminates this inefficiency

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

asymmetric equilibria in spatial competition abstract the main purpose of this paper is to study the impact of consumer concentration around the market center on the equilibrium locations of location price games in the case of symmetric triangular density it is shown that no symmetric equilibrium exists however we demonstrate the existence of asymmetric equilibria in pure strategies these equilibria are also characterized our secondary purpose is to study the sequential entry of two firms when the location space is not restricted to the market space this leads us to uncover a substantial first mover advantage which has been neglected in the literature

duopoly locations and optimal zoning in a small open city abstract this paper analyzes a duopoly location model with an asymmetric zoning that prohibits firms from locating to a specific interval in a small open linear city it is shown that the maximum differentiation principle presented in d aspremont et al econometrica 47 1979 1145 is still valid under area zoning regulation moreover a zoning regulation can be seen as a policy instrument to limit firms excess profits and a proper regulation may even reduce the distortion in total transportation costs therefore enhancing social welfare specifically the optimal zoning is about 29 5 percent of the city with no amenity effect finally all the land rents raised by zoning are eventually confiscated by the absentee landowner

team contests with multiple pairwise battles abstract we consider a multi battle team contest in which players from two rival teams form pairwise matches to fight in distinct component battles which are carried out sequentially or partially

corruption and allocation efficiency abstract in this paper we investigate the possibility of allocation inefficiencies associated with corrupt practices specifically we consider the case in which two firms compete via bribery of a corrupt government official for a to be awarded project the economy may suffer allocation inefficiencies whenever there is some degree of discrimination given additional assumptions it is shown that the possibility of inefficient allocations increases as the degree of discrimination increases although empirical verification of discrimination is difficult due to the observational equivalence of an alternative imperfect knowledge model two possible explanations for the determination of discrimination coefficients indicate that it is a general phenomenon in competitive bribery games

collective rent dissipation the theory of rent seeking was initiated by tullock 1967 1980 followed by krueger 1974 and posner 1975 and more recently extended in various directions by allard 1988 appelbaum and katz 1986a b c gradstein and nitzan 1989 hillman and katz 1984 1987 hillman and samet 1987 hillman and riley 1989 katz et al 1990 long and vousden 1987 ursprung 1990 and varian 1989 the purpose of this paper is to extend this theory by introducing the possibility of collective group rent seeking with voluntary individual decisions regarding their extent of participation in the collective rent seeking efforts

on equilibrium player ordering in dynamic team contests we study equilibrium player ordering in a dynamic all pay contest between two teams the contest lasts two periods and each team consists of two players who perform in different periods on behalf of their teams the team with the higher aggregate output wins the prize which is a public good to its players each team has one stronger player and one weaker player and the two teams can differ in their values of the prize the teams maximize their winning odds by strategically assigning their players to different periods we find that when the intrateam heterogeneity in player ability is not excessive the teams would allocate their stronger players to the late positions as the anchormen when both the intrateam ability gap and interteam heterogeneity in teams values become excessively large the team with high value always places its stronger player in the early position who will place a large bid to preempt late competition jel c7 d7 d8

multi battle contests abstract we study equilibrium in a multistage race in which players compete in a sequence of simultaneous move component contests players may win a prize for winning each component contest as well as a prize for winning the overall race each component contest is an all pay auction with complete information we characterize the unique subgame perfect equilibrium analytically and demonstrate that it exhibits endogenous uncertainty even a large lead by one player does not fully discourage the other player and each feasible state is reached with positive probability in equilibrium pervasiveness expected effort in the component contests may be non monotonic in the closeness of the race and realized individual effort may exceed the value of the prize by a factor that is proportional to the maximum number of stage victories required

information in conflicts abstract we consider two player contests for a prize of common but uncertain value for settings where one player knows the value of the prize while the other only knows its prior distribution we give conditions for when the uninformed agent is ex ante strictly more likely to win the prize than is the informed agent in the special case of a lottery contest equilibrium expenditures are lower under asymmetric information than if either both agents are informed or neither agent is informed

allocation efficiency in a competitive bribery game abstract we consider the selection properties of a competitive bribery model in the presence of two types of asymmetry unevenness between the competitors and unfairness in the contest rules only under very special conditions does the benchmark model yield allocation efficiency in other cases the effect on allocation efficiency of making the contest more unfair is ambiguous and parameter specific we present conditions under which each result obtains our results indicate that it is socially optimal to run an unfair contest in order to redress the allocation inefficiency introduced when contestants are asymmetric we show however that a selfish income maximizing bribee will discriminate in the opposite direction to that which society would prefer

distributional conflict and jurisdictional organization abstract this paper explores the endogenous formation of jurisdictions assuming the political process is a costly fight to acquire shares of the gnp pie in such a setting the stability of a unified jurisdiction is not necessarily determined by the preferences of the richest member region we also show that a system of federalism is especially significant in ameliorating distributional competition and conflict less resources are spent in aggregate on appropriative activities under a hierarchical system of federalism than in a unified jurisdiction with a single central government

the dynamics of majoritarian blotto games abstract we study colonel blotto games with sequential battles and a majoritarian objective for a large class of contest success functions the equilibrium is unique and characterized by an even split each battle that is reached before one of the players wins a majority of battles is allocated the same amount of resources from the player s overall budget as a consequence a player s chance of winning any particular battle is independent of the battlefield and of the number of victories and losses the player has accumulated in prior battles this result is in stark contrast to equilibrium behavior in sequential contests that do not involve either fixed budgets or a majoritarian objective we also consider the equilibrium choice of an overall budget for many contest success functions if the sequence of battles is long enough the payoff structure in this extended game resembles an all pay auction without noise

a tug of war team contest this paper analyzes a tug of war contest between two teams in each round of the tug of war a pair of agents from the opposing teams competes in a private value all pay auction with asymmetric value distributions and effort effectiveness whichever team arrives first at a given lead in terms of battle victories over the opponent wins the tug of war there exists a unique markov perfect equilibrium in bidding strategies which depend on the respective player s valuation and the current state of the tug of war we derive rich comparative statics for this equilibrium by using the fact that the state of the tug of war evolves according to a time homogeneous absorbing markov chain

collusion agglomeration and heterogeneity of firms abstract jehiel 1992 and friedman and thisse 1993 show that spatial agglomeration appears in a standard two stage location price model if symmetric firms collude in prices we introduce a cost difference between two firms we show that agglomeration never appears in a collusive equilibrium even when the cost difference between firms is sufficiently small

a general analysis of rent seeking games in this paper we reconsider the basic model of efficient rent seeking we stress the importance of the shape of the players reaction curve in order to understand the impact of the technology of rent seeking on the structure of the outcome of the game we give a complete characterization of the pure strategy equilibria moreover the possibility of preemption by a stakelberg leader is discussed according to the nature of the technology of rent seeking available to the agents

rent seeking for pure public goods in this paper we present a formal analysis of rent seeking for public goods by two or more groups with different numbers of individuals we begin by considering equally wealthy groups under risk neutrality a case which constitutes our basic model several surprising and interesting results emerge from the analysis of this basic case the problem is then extended to deal with a groups with different wealth levels and b risk aversion this last extension brings about a further crop of interesting and useful results

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

the design of rent seeking competitions committees preliminary and final contests the paper examines the common practice in multi contest rent seeking competitions where finalists are selected based on rent seekers efforts in a preliminary contest we find that for any single contest design rent seeking expenditures could be reduced by introducing a preliminary contest if the marginal returns to rent seeking effort in the preliminary contest is sufficiently low in addition to other reasons the paper argues that this may explain why such multi contest designs are common we argue that rent seeking expenditure in the preliminary stage represents the cost of reducing the number of contestants we also find that the practice of setting a higher quality standard in the final contest than the quality standard in the preliminary contest reduces rent seeking waste we derive an expression for the optimal number of finalists under certain conditions we find that the optimal number of finalists is directly proportional or equal to the square root of the number of potential contestants finally we show that whether rent seeking expenditures rise or fall when the rent is awarded by a committee instead of a single administrator depends on the sensitivity of the committee relative to that of the single administrator

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

mixed duopoly location choice and shadow cost of public funds we examine the relationship between equilibrium and efficient levels of product differentiation in a mixed duopoly where a welfare maximizing public enterprise competes with a profit maximizing private firm we introduce shadow costs of public funding i e the excess burden of taxation the profits of public firms obtained by the government reduce these costs we find that in a mixed duopoly the level of product differentiation is too low for social welfare this result is in sharp contrast to the private oligopoly where the level of product differentiation is too high finally we show that when the shadow cost is high privatizing the public enterprise improves welfare

product differentiation and price collusion the paper analyzes the implications of price collusion with or without monetary transfers on the degree of horizontal product differentiation we find that the principle of minimum differentiation holds i e firms sell the same product when there is no possibility of monetary transfers on the contrary we find that the presence of monetary transfers may induce some product differentiation the reason is that when monetary transfers are possible it is not essential per se to be well located in terms of relative market shares the outcome is then shown to be driven by only two forces 1 choosing a product closer to the competitor s improves the bargaining power 2 choosing a product closer to the one maximizing the joint profit improves the global firm efficiency

partial collusion fosters minimum product differentiation we investigate a spatial duopoly in which the firms simultaneously select locations at the beginning of time once chosen the locations are fixed forever but the firms will choose prices in each of a countably infinite succession of time periods we are interested in equilibrium behavior when the firms will collusively arrange a trigger strategy equilibrium in prices and will select their locations knowing that a particular such trigger strategy price equilibrium will ensue specifically we restrict our attention to prices that support an outcome on the profit possibility frontier at which the ratio of firm 1 s profits to those of firm 2 is positively related to the similar ratio of profits at the single shot noncooperative equilibrium for these profit sharing rules the resulting location equilibrium is unique and involves the pairing of firms at the market center

from custer to thermopylae last stand behavior in multi stage contests abstract in a multi stage contest known as a two player race players display two fundamental behaviors 1 the laggard will make a last stand in order to avoid the cost of losing and 2 the player who is ahead will defend his lead if it is threatened last stand behavior in particular contrasts with previous research where the underdog simply gives up the distinctive results are achieved by introducing losing penalties and discounting into the racing environment this framework permits the momentum effect typically ascribed to the winner of early stages to be more thoroughly examined i study the likelihood that the underdog will catch up i find that neck and neck races are common when the losing penalty is large relative to the winning prize while landslide victories occur when the prize is relatively large closed form solutions are given for the case where players have a common winning prize and losing penalty

effort levels in contests the public good prize case abstract we examine the equilibrium individual players groups and total effort levels expended in a contest where groups compete with one another to win a group specific public good prize and the players choose their effort levels simultaneously and independently

investment in the absence of property rights the role of incumbency advantages in many situations the individuals who can generate some output must enter a contest for appropriating this output this paper analyses the investment incentives of such agents and the role of incumbency advantages in the contest depending on the advantages an increase in the productivity of the investment can decrease or increase the amount of investment the results are applied to autocrats investment behavior and job specific investment in organizations

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

comparative statics of contests and rent seeking games this paper develops the comparative statics properties of a contest encountered in patent races and rent seeking games the author shows that symmetric equilibrium expenditure and profit per player decrease with the number of competitors and the discount rate but increase with the value of the prize a fundamental lemma established in the paper shows that a stability condition usually imposed on the model is automatically satisfied the author identifies a class of likelihood or hazard rate functions for which aggregate expenditure increases with the number of competitors and total profits converge to zero copyright 1997 by economics department of the university of pennsylvania and the osaka university institute of social and economic research association

public policy towards r d in oligopolistic industries the importance of determining optimal policy towards r d cannot be exaggerated given the worldwide interest in fostering r d and given the significant differences between european and u s policies towards interfirm cooperation on r d moreover the problem is an inherently difficult one because of the complex nature of the r d process since r d is a component of fixed costs industries where it is important tend to be concentrated hence r d policy must go hand in hand with competition policy at the same time r d is like any form of investment in that it precedes the production stage hence issues of time consistency and strategic commitment inevitably arise in considering the choice of r d policy finally r d by one firm typically leads to spillovers wbich benefit other firms so that r d exhibits many of the character department of economics university college dublin belfield dublin 4 ireiatid for helpful discussions and comments we are grateful to two anonymous referees to pedro bartos steve martin massimo motta and damien neven and to participants at seminars in birmingham st andrew s and warwick at a cepr workshop on r d spillovers in lausanne at erwit 94 in caslel gandolfo eea 95 in prague the 1996 conference on industrial economics at universidad carlos iii de madrid and a meeting of the dublin economics workshop this paper was produced as part of the international economic performance programme of the centre for economic performance london school of economics supported by the u k esrc an earlier version was circulated as cepr discussion paper no 1243 see alexis jacquemin 1988 and stephen martin 1996 istics of a public good albeit one that is mostly privately produced tbe degree to which such spillovers occur and can be internalized is another crucial influence on the desirable pattem of intervention