the solution to the tullock rent seeking game when r 2 mixed strategy equilibria and mean dissipation rates in tullock s rent seeking model the probability a player wins the game depends on expenditures raised to the power r we show that a symmetric mixed strategy nash equilibrium exists when r 2 and that overdissipation of rents does not arise in any nash equilibrium we derive a tight lower bound on the level of rent dissipation that arises in a symmetric equilibrium when the strategy space is discrete and show that full rent dissipation occurs when the strategy space is continuous our results are shown to be consistent with recent experimental evidence on the dissipation of rents

learning about a new technology pineapple in ghana this paper investigates the role of social learning in the diffusion of a new agri cultural technology in ghana we use unique data on farmers communication patterns to define each individual s information neighborhood conditional on many potentially confounding variables we find evidence that farmers adjust their inputs to align with those of their information neighbors who were surpris ingly successful in previous periods the relationship of these input adjustments to experience further indicates the presence of social learning in addition applying the same method to input choices for another crop of known technol ogy correctly indicates an absence of social learning effects jel d83 013 033 q16

do too many cooks always spoil the stew an experimental analysis of rent seeking and the role of a strategic buyer laboratory methods are used to evaluate the effects of institutional arrangements and rent defending activity on rent seeking auction outcomes in part nash equilibrium predictions are a useful behavioral guide as predicted more rents are dissipated in perfectly discriminating auctions where the high bidder wins than in lotteries where relative bids determine the chance of winning also as predicted the introduction of a rent defending buyer reduces social costs nevertheless the social costs of rent seeking consistently exceed predicted levels moreover individual bidding especially by buyers deviates markedly from nash predictions

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

the marginal cost of public funds and tax reform in africa abstract in this paper we propose estimates of the marginal cost of public funds mcf in 38 african countries we develop a simple general equilibrium model that can handle taxes on five major tax classes and can be calibrated with little more than national accounts data a key feature of our model is the explicit recognition of the informal economy our base case estimate of the average mcf from marginal increases in all five tax instruments is 1 2 focusing on the lowest cost tax instruments in each country commonly the vat but not always the average mcf is 1 1 finally extending the tax base to include sections of the informal economy by removing some tax exemptions offers the potential for a low mcf source of public funds and a lowering of mcfs on other tax instruments

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

all pay auctions an experimental study this paper reports the results of a repeated all pay auction game the auction form used is the simplest possible complete information perfect recall and common value our main findings are that in such an auction over bidding is quite drastic and the seller s revenue depends strongly on the number of bidders in early stages however after a few rounds of play this dependence completely disappears and the seller s revenue becomes independent of the number of participants the results are confronted with two solution concepts of economic theory the nash equilibrium and the symmetric logit equilibrium 2005 published by elsevier b v

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

heterogeneous risk loss aversion in complete information all pay auctions we extend previous theoretical work on n player complete information all pay auctions to incorporate heterogeneous risk and loss averse utility functions we provide sufficient and necessary conditions for the existence of equilibria with a given set of active players with any strictly increasing utility functions and characterize the players equilibrium mixed strategies assuming that players can be ordered by their risk aversion player a is more risk averse than player b if whenever player b prefers a certain payment over a given lottery so does player a we find that in equilibrium the more risk averse players either bid higher than the less risk averse players and win with higher ex ante probability or they drop out furthermore while each player s expected bid decreases with the other players risk aversion her expected bid increases with her own risk aversion thus increasing a player s risk aversion creates two opposing effects on total expected bid a sufficient condition for the total expected bid to decrease with a player s risk aversion is that this player is relatively more risk averse compared to the rest of the players our findings have important implications for the literature on gender differences in competitiveness and for gender diversity in firms that use personnel contests for promotions

incentives and careers in academia theory and empirical analysis we study career concerns in italian academia we mould our empirical analysis on the standard model of contests formalised in the multi unit all pay auction the number of posts the number of app

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

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

endogenous timing in contests with delegation i introduction contests with delegation where each player hires a delegate to expend effort or resources on the player s behalf to win a prize are common 1 an example is litigation between a plaintiff and a defendant in which each litigant hires an attorney who expends his effort to win the lawsuit on behalf of his client another example is a rent seeking contest in which each firm hires a lobbyist who expends his effort to acquire a monopoly or a procurement contract from the government on behalf of his client yet another example is a patent contest in which each firm hires a group of independent researchers or university professors who conduct research to obtain a patent on behalf of their employer delegation is attractive to players because they each can use superior ability by hiring a delegate with more ability than herself and achieve strategic commitments through delegation in such contests with delegation we believe delegates decide endogenously when to expend their effort after signing delegation contracts indeed pursuing their self interest the delegates may well endogenize the order of their moves and communicate it with each other before they expend their effort we believe also that players take it into account when designing their contracts for the delegates that the delegates will endogenize the order of their moves it is these ideas that motivate this paper accordingly the purpose of this paper is to systematically study contests with delegation in which delegates decide endogenously when to expend their effort after signing delegation contracts and before they expend their effort we study two player contests with delegation focusing on not only the equilibrium delegation contracts between players and their delegates but also the equilibrium orders of the delegates moves specifically we set up and analyze the following three stage game in the first stage two players each hire a delegate and they simultaneously announce their contracts written with their delegates each player s contract specifies how much her delegate will be paid if he wins the contest and how much if he loses it in the second stage each delegate decides when to expend his effort and the delegates announce their decisions simultaneously in the third stage the delegates expend their effort according to their decisions in the second stage to win the prize on behalf of their employers we show that in equilibrium the delegate hired by the higher valuation player chooses his effort level after observing his counterpart s and his expected payoff is greater than that of his counterpart this advantage of the delegate of the higher valuation player can be explained by the fact that his employer the higher valuation player offers better contingent compensation as it will be defined in section ii to him than the lower valuation player does to her delegate we compare the outcomes of the endogenous timing framework the three stage game presented above with those of the simultaneous move framework the game which is the same as the three stage game with the exception that the delegates choose their effort levels simultaneously and this order of their moves is given exogenously an interesting result is that each player offers her delegate a better contract in the endogenous timing framework than in the simultaneous move framework another interesting result is that unless the valuation for the prize of the higher valuation player is significantly greater than that of the lower valuation player then each delegate s expected payoff is greater in the endogenous timing framework than in the simultaneous move framework whereas each player s expected payoff is less in the endogenous timing framework than in the simultaneous move framework in summary pursuing their self interest the delegates decide endogenously when to expend their effort given contracts between the players and the delegates

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

independent private value auctions bidder behaviour in first second and third price auctions with varying numbers of bidders the symmetric equilibrium of third price auctions is characterized it makes a number of contrasting predictions relative to firms and second price auctions bids exceed private values the marginal effects on bids of an increase in private values is greater than one increasing numbers of bidders reduces bids and risk aversion requires bidding below the risk neutral nash equilibrium in the experiment bidders do not always satisfy the point predictions of the theory however the game theoretic models correctly anticipate at least directionally the important effects of the price rule changes copyright 1993 by royal economic society

dissipation of contestable rents by small numbers of contenders the theory of rent seeking with its origins in the observations of gordon tullock 1967 or to use jagdish bhagwati s 1982 proposed term the theory of directly unproductive profit seeking activities is concerned with the potentially adverse effects on resource allocation of incentives to cap ture and defend artificially contrived rents and transfers the scope for so cial loss proposed by the theory derives from the relation between the value of a contestable prize and the value of the resources attracted into the con test to determine the beneficiary of the prize underlying this social loss is a specification of how rational behavior by optimizing agents links the value of the prize sought to the resources expended it has been traditional to assume competitive behavior in describing the activities of lobbying and influence seeking then if some further condi tions are satisfied l the total value of the resources expended precisely equals the value of the prize sought so dissipation is complete 2 conse quently the social cost associated with contestability of a rent can be in ferred from the value of the rent itself and the detailed and hard to come by information on individual outlays made in the course of the contest be comes unnecessary by basing their analyses on competitive dissipation contributors to the rent seeking literature see the review by robert tollison 1982 have been able to presume that the observed value of a contested rent is an exact measure of the associated social cost of monopoly power or regu lation similarly in the trade theoretic literature where the rights contested are to quota premia or revenues from trade taxes krueger 1974 bhagwati

the all pay auction with nonmonotonic payoff i model innovation contests as an all pay auction in which it is possible not to achieve successful innovation despite costly r d investments and as a result there is no winner in such a case the winning payoff turns out to be nonmonotonic in own bid i derive the sufficient conditions for the existence of pure strategy equilibria and fully characterize the nondegenerate mixed strategy equilibrium in the mixed strategy equilibrium the support of the low value bidder is not continuous and both the high value and the low value bidders place an atom in the distinct lower bound of their respective support under symmetric valuation both bidders place an atom at zero these results can explain why one does not observe very low quality innovation in real life or why even symmetric firms may stay out of an innovation contest

sequential location games we study location games where market entry is costly and occurs sequentially and where consumers are nonuniformly distributed over the unit interval we show that for certain classes of densities including monotone and under some additional restrictions hump shaped and u shaped ones equilibrium locations can be determined independently of when they are occupied our analysis reveals a number of peculiarities of the uniform distribution extensions of the model allow for price competition and advertisement in media markets winner take all competition trade offs between profits in the short and the long run and firms operating multiple outlets

auctions an introduction abstract this is a detailed introduction to auction theory it begins with a simple analysis of standard auctions and then uses a strikingly simple general solution of symmetric private values auctions to prove the payoff equivalence of many auction rules the basic framework is then modified to admit risk aversion multi unit and repeated auctions as well as collusion then follows an introduction to optimal auctions with and without stochastic entry and to common value auctions and the winner s curse problem the survey closes with a sample of applications from the regulation of natural monopolies to price competition in oligopoly and the government securities market

incorporating policymaker costs and political competition into rent seeking games 1 introductionrent seeking in politics involves agents who lobby policymakers for potential benefits in a seminal contribution tullock 1980 modeled rent seeking as a lottery game a major weakness of tullock s game was that it lacked verisimilitude to actual rent seeking because it omitted politics the absence of politics meant that the game essentially assumed that there are no costs to the policymakers of supplying rents but as tollison 1997 and others have pointed out these costs are not zero and the politics surrounding the policy decision influence the pattern of lobbying and the rent seeking outcome in this paper we address two aspects of those politics the costs to policymakers of supplying rents and the variable intensity of political competition among a given number of rent seekers including these aspects increases the similarity of the game to actual rent seeking situations and makes clearer the incentives to rent seekers costs to supplying rents arise due to various constraints legislators must build coalitions acquire parliamentary rights maintain a positive image and service constituent interests policymakers in agencies must follow procedural rules submit to congressional oversight and budgeting pass omb reviews and so forth lower policymaker costs should increase the effectiveness of lobbying and this should attract greater lobbying efforts among rent seekers 1 increasing policymaker costs makes lobbying less effective indeed because of these costs policymakers often turn away lobbies empty handed in short policymakers have constraints that affect the policies they design and this affects lobbying expenditures dougan and snyder 1993 this paper introduces policymaker costs in monetary units such that they are comparable to the value of the rent and rent seeking expenditures political competition among rent seekers also influences the rent seeking outcome competition traditionally has been modeled by varying the number of rent seeking agents actual or potential or their relative lobbying expenditures e g posner 1975 rogerson 1982 sun and ng 1999 competition can vary however even among a given number of rent seekers and for a given profile of expenditures for example two agents may lobby a policymaker for the same unique and exclusive political good then one agent directly opposes the other and only one agent can win the good alternatively the same two agents may lobby a policymaker for two separate political goods in that case the agents oppose each other only indirectly this situation is frequent in politics as rent seeking agents compete for space on the political agenda for policymakers time and for portions of a particular government budget in this situation success by one agent does not necessarily result in failure by the other but it does lower the probability that the other agent will succeed competition is more intense in the first example even though the examples involve the same number of firms industrial organization economists have shown that a single parameter can determine incumbent firms competition in price and quantity regardless of the number of firms present 2 this paper introduces rent seeking competition analogously allowing a parameter to alter the competitiveness of the rent seeking game among a fixed number of firms we incorporate monetized policymaker costs and the political competition parameter into the success probabilities of the standard rent seeking game the resulting model is a game in which the agents simultaneous maximization of expected net returns or profits determines a nash equilibrium in their expenditures incorporating politics into the standard game makes the game more accurate because equilibrium and comparative statics depend in part on the politics of the rent seeking contest more specifically increasing political competition decreases rent seeking expenditures unless the value of the rent is sufficiently large relative to policymaker costs and dissipation rates are lower than in previous research because of policymaker costs

the digital provide information technology market performance and welfare in the south indian fisheries sector when information is limited or costly agents are unable to engage in optimal arbitrage excess price dispersion across markets can arise and goods may not be allocated efficiently in this setting information technologies may improve market performance and increase welfare between 1997 and 2001 mobile phone service was introduced throughout kerala a state in india with a large fishing industry using microlevel survey data we show that the adoption of mobile phones by fishermen and wholesalers was associated with a dramatic reduction in price dispersion the complete elimination of waste and near perfect adherence to the law of one price both consumer and producer welfare increased

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

policy influence and private returns from lobbying in the energy sector in this article i quantify the extent to which lobbying expenditures by firms affect policy enactment to achieve this end i construct a novel dataset containing all federal energy legislation and lobbying activities by the energy sector during the 110th congress i then develop and estimate a game theoretic model where heterogeneous players choose lobbying expenditures to affect the probability that a policy is enacted i find that the effect of lobbying expenditures on a policy s equilibrium enactment probability to be statistically significant but very small nonetheless the average returns from lobbying expenditures are estimated to be over 130

the exclusion principle for symmetric multi prize all pay auctions with endogenous valuations abstract this paper explains why contest designers may limit entry into a symmetric multi prize all pay auction the revenue maximizing size of the group of finalists depends on the extent to which prize values decrease or increase with the number of contestants

learning by doing and learning from others human capital and technical change in agriculture household level panel data from a nationally representative sample of rural indian households describing the adoption and profitability of high yielding seed varieties hyvs associated with the green revolution are used to test the implications of a model incorporating learning by doing and learning spillovers the estimates indicate that i imperfect knowledge about the management of the new seeds was a significant barrier to adoption ii this barrier diminished as farmer experience with the new technologies increased iii own experience and neighbors experience with hyvs significantly increased hyv profitability and iv farmers do not fully incorporate the village returns to learning in making adoption decisions

individual learning and cooperation in noisy repeated games we investigate whether two players in a long run relationship can maintain cooperation when the details of the underlying game are unknown specifically we consider a new class of repeated games with private monitoring where an unobservable state of the world influences the payoff functions and or the monitoring structure each player privately learns the state over time but cannot observe what the opponent learned we show that there are robust equilibria in which players eventually obtain payoffs as if the true state were common knowledge and players played a belief free equilibrium we also provide explicit equilibrium constructions in various economic examples copyright 2014 oxford university press

a comparison of multiple unit all pay and winner pay auctions under incomplete information this article examines the properties of independent private value all pay and winner pay auctions when there are multiple units sold we study bidding behavior efficiency and revenue in a set of 23 experimental sessions our data show that the all pay auction and the winner pay auction are empirically revenue equivalent though both yield higher revenue than the risk neutral bayesian equilibrium our evidence also suggests that the winner pay auction is more likely to lead to a pareto efficient allocation than the all pay auction

the all pay auction when a committee awards the prize there is very little work on the equilibrium of the all payauction when the prize is awarded by two or more people iconsider an all pay auction under committee administrationwith caps on the bids of the contestants i show that for anynumber of committee members and contestants there exists apure strategy equilibrium in which the contestants bid anamount equal to a suitably chosen cap i argue that the cap isnot an artificial restriction on the game given that thereare caps on political lobbying in the real world i find thatcommittee administration could result in higher aggregateexpenditures even if there is some probability that thecommittee will not award the prize the intuition for thisresult is that the inclusion of additional administratorsrelaxes the effect of caps on lobbying that is caps onlobbying tend to be more effective the smaller is the size ofthe committee caps may also be a solution to the problem ofmajoritarian cycles in all pay auctions under committeeadministration

rent seeking with regretful agents theory and experiment abstract we investigate both theoretically and experimentally the role that information disclosure has on behavior in all pay environments in which all agents must exert costly effort but only the winner is rewarded through the lens of all pay auctions we show that bidders who have regret concerns when they lose an auction may alter their bids whether or not information about the winning bid is disclosed all losing bidders regret not bidding 0 however when feedback on the winning bid is provided those bidders who lost at an affordable price may regret not bidding more we show that the former effect causes bidders to lower their bids while the latter effect causes bidders to raise their bids our experimental results indicate overbidding whether or not the winning bid is disclosed to losing bidders however disclosing the winning bid leads to even more aggressive bidding increases revenues decreases the frequency of dropouts and also leads to more efficient allocations thus our results show that information disclosure is a powerful tool that mechanism designers may wish to exploit to extract more rents in all pay environments

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

difference form contests and the robustness of all pay auctions abstract in much of the existing literature on rent seeking games the outcome of the contest is either infinitely sensitive or relatively insensitive to contestants efforts the current paper presents a family of contest games that permit characterization of equilibrium for all levels of sensitivity of the outcome to contestants efforts specifically the outcome of the contest depends on the difference between efforts which encompass the lottery and the all pay auction as polar cases the equilibrium converges to that of the all pay auction as the probability of winning the prize grows infinitely sensitive to one s effort and the main qualitative features of equilibrium persist over a large parameter region journal of economic literature classification numbers d44 d72

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

nonzero sum two person repeated games with incomplete information and known own payoffs this paper deals with repeated games with incomplete information where the uninformed player has complete knowledge of his own payoffs this is a specific case of hart s model we provide a characterization of the set of equilibrium payoffs which is simpler than that of the general case and prove the existence of an equilibrium in addition we show by example how arbitrarily small doubts about the payoff matrices can radically alter the set of equilibrium payoffs in particular we partially characterize how a player can increase his minimum equilibrium payoff by sowing doubt about his payoffs journal of economic literature classification number c72

building routines learning cooperation and the dynamics of incomplete relational contracts this paper studies how agents with conflicting interests learn to cooperate when the details of cooperation are not common knowledge it considers a repeated game in which one player has incomplete information about when and how her partner can provide benefits initially monitoring is imperfect and cooperation requires inefficient punishment as the players common his tory grows the uninformed player can learn to monitor her partner s actions which allows players to establish more efficient cooperative routines because revealing information is costly it may be optimal not to reveal all the existing information and efficient equilibria can be path dependent jel c73 d82 d83 d86 this paper studies how agents with conflicting interests go about developing a successful cooperative relationship when the details of cooperation are not common knowledge in cir cumstances where formal contracts are unavailable or inconvenient agents frequently rely on informal cooperative agreements or relational contracts to resolve incentive conflicts in fact whenever the interested parties have better information than do outside courts relational con tracts can outperform formal contracts by allowing agents to adapt their joint behavior to contin gencies that cannot be assessed by third parties 1 the starting point of this paper is to recognize that even when agents have better information than outside courts this does not mean that the details of how and when cooperation should occur are common knowledge between the parties for instance a new plant manager may not have a complete understanding of what her produc tion teams can and cannot do a firm s ceo may have only partial understanding of how research teams should operate and so on the question is then how do players go about building a com mon agreement or formulated in a slightly different way how do they go about specifying the contingencies of their relational contract the model developed in the paper considers two players engaged in an infinitely repeated game with asymmetric information in each period player 1 decides to stay and interact with player 2 or exit and skip interaction for one period staying is costly for player 1 and yields a benefit for player 2 if player 1 stays player 2 can reciprocate by taking some action from a set of available actions which is randomly drawn in each period from a countable superset player 2 can take actions of two types unproductive actions that are costless to player 2 but yield zero benefit to

on the evolution of prize perceptions in contests abstract we apply an indirect evolutionary approach to players perceived prize valuations in contests evolution in finite populations leads to preferences that overstate the prize s material value and induce overexpenditure we establish an equivalence between evolutionarily stable strategies and the behavior induced by evolutionarily stable preferences

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

decision by sortition a means to reduce rent seeking this essay gives an overview of how arandomized decision mechanism sortition can be expected to reduce the intensity ofself interested activity by rent seekingfactions within democracies the socialcosts of rent seeking are briefly reviewed i then make the case that randomization ofcollective decision making proceduresattenuates rent seeking expenditures iillustrate the argument by reference to thehighly contested presidential election of2000 finally i buttress that argument bycomparing plurality voting and sortitionwithin the context of tullock s efficient rent seeking model 1980

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

the existence of equilibrium in discontinuous economic games i theory the article presents information about the existence of equilibrium in discontinuous economic games in this paper and its sequel presents study the existence of nash equilibrium in games where agents payoff functions are discontinuous the enquiry is motivated by a number of recent studies that have uncovered serious existence problems in seemingly innocuous economic games in the sequel to this paper authors have explained the utility function in the economic games referred to earlier are neither continuous nor quasi concave however they demonstrate that the payoff functions in mildly modified versions of these constructs exhibit two weaker forms of continuity which together with the requirement of quasi concavity suffice for the existence of an equilibrium from this one may conclude that at least in the modified versions of these models discontinuities in the payoff functions are not the real source of the problem rather it is the failure of the payoff functions to the quasi concave which is responsible for the non existence of equilibrium these observations bear on the existence of nash equilibrium in pure strategies

a property of nash equilibria in repeated games with incomplete information we consider two person non zero sum infinitely repeated games with lack of information on one side the characterization of nash equilibrium payoffs obtained by hart allows for complex strategies which are actually required by some equilibrium payoffs in some games we show that appropriate one shot public communication mechanisms make nash equilibrium payoffs achievable by means of simple strategies furthermore these mechanisms satisfy a notion of self fulfillment journal of economic literatureclassification numbers d82 c72

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

do polls create momentum in political competition abstract we explore how public opinion polls affect candidates campaign spending in political competition generally polls lead to more asymmetric behavior under a majority rule there always exists an equilibrium in which the initially more popular candidate invests more in the campaign and thereby increases her lead in expectation polls create momentum when campaigning is very effective and the race is very close a second type of equilibrium may exist the trailing candidate outspends and overtakes his opponent regardless of the type of equilibrium polls have a tendency to decrease expected total campaigning expenditures by amplifying ex ante asymmetries between candidates and thus defusing competition when candidates care also for their vote share in addition to having the majority candidates incentives crucially depend on the distribution of voters candidate preferences

equilibrium contingent compensation in contests with delegation we consider two player contests in which each player hires a delegate who expends his effort to win a prize on the player s behalf endogenizing delegation contracts we focus on the equilibrium contracts between the players and their delegates we first show that each player s equilibrium contract is a no win no pay contract then we examine the delegates equilibrium compensation spreads effort levels probabilities of winning expected payoffs and the players equilibrium expected payoffs we show that economic rents for the delegates may exist

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 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

merging reputation and repeated games with incomplete information we relate and unify several results that appeared in the following domains merging of probabilities perturbed games and reputation phenomena and repeated games with incomplete information journal of economic literature classification numbers c72 d83

identification of endogenous social effects the reflection problem this paper examines the reflection problem that arises when a researcher observing the distribution of behaviour in a population tries to infer whether the average behaviour in some group influences the behaviour of the individuals that comprise the group it is found that inference is not possible unless the researcher has prior information specifying the compisition of reference groups if this information is available the prospects for inference depend critically on the population relationship between the variables defining reference groups and those directly affecting outcomes inference is difficult to implossible if these variables are functionally dependent or are statistically independent the prospects are better if the variables defining reference groups and those directly affecting outcomes are moderately related in the population

networks in economic development this chapter surveys the implications of some studies in network economics research for economic development we focus on information flow and risk sharing two topics where work in theory empirics and policy analysis have been especially intensive and complementary in analysing information we distinguish models of information diffusion and aggregation highlight how different models imply very different guidance regarding the right way to seed information in discussing risk sharing we look at the key frictions that impede efficient informal insurance and some potential unintended consequences when policymakers intervene to help throughout we stress practical insights that can be used with limited measurement of the details of networks

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

contest efforts in light of behavioural considerations this study shows that distortion of probabilities is a possible reason for rent under dissipation incontests with relatively small number of participants such distortion may also result however inover dissipation of the contested rent focusing on contests with homogeneous contestants and thecommonly studied contest success function our main results clarify under what circumstances i rents are more under dissipated relative to the standard situation where probabilities are notdistorted ii rents are under dissipated yet less intensely relative to the standard situation whereprobabilities are not distorted iii rents are over dissipated and iv the contest does not possess asymmetric interior equilibrium in pure strategies

favoring the winner or loser in repeated contests should a firm favor a weaker or stronger employee in a contest despite a widespread emphasis on rewarding the best employees managers continue to tolerate and even favor poor performers contest theory reveals that evenly matched contests are the most intense which implies that a contest designer can maximize each player s effort by artificially boosting the underdog s chances we apply this type of handicapping to a two period repeated contest between employees in which the only information available about their abilities is their performance in the first period in this setting employees are strategic and forward looking such that they fully anticipate the potential impact of the first period contest result on the second period contest and thus adjust their behaviors accordingly the manager also incorporates these strategic behaviors of employees when determining an optimal handicapping policy if employees abilities are sufficiently different favoring the first period loser in the second period increases the total effort over both periods however if abilities are sufficiently similar we find the opposite result occurs total effort increases the most in response to a handicapping strategy of favoring the first period winner

should we tax or cap political contributions a lobbying model with policy favors and access abstract this paper develops a model of political contributions in which a politician can either sell policy favors or sell access access allows interest groups to share hard information with the politician in support of their preferred policy here selling access maximizes policy utility while selling policy favors maximizes total contributions imposing a binding contribution limit makes it more likely that the politician sells access which can improve expected constituent welfare however a contribution limit distorts the signals associated with the contributions which tends to result in worse policy alternatively a tax on political contributions can ensure that the politician sells access without distorting his information therefore from the viewpoint of a representative constituent a tax on contributions is strictly preferred to a contribution limit or no reform the politician however may prefer regulation in the form of a contribution limit even when a tax is better for the constituent

all pay auctions and group size grading on a curve and other applications we model contests with a fixed proportion of prizes such as a grading curve as all pay auctions where higher effort weakly increases the likelihood of a prize we find theoretical predictions for the heterogeneous effect auction size has on effort from high and low types we test our predictions in a laboratory experiment that compares behavior in two bidder one prize auctions with behavior in 20 bidder 10 prize auctions we find a statistically significant 11 8 increase in aggregate bidding when moving from the small to large auction the impact is heterogeneous as the auction size increases low types decrease effort but high types increase effort additionally the larger auction provides a stronger rank correlation between effort and ability awarding more prizes to the higher skilled and improving the efficiency of prize allocation

lottery versus all pay auction models of lobbying i first provide a complete characterization of the unique equilibrium of the lottery game by n lobbyists with asymmetric valuations and then compare the lottery and the all pay auction models of lobbying i show that the exclusion principle discovered by baye kovenock and de vries 1993 for all pay auction does not apply to lottery i also show that the perverse effect that an exogenous cap may increase the total lobbying expenditure in a two bidder all pay auction discovered by che and gale 1998 does not apply to lottery

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

asymmetric information about rivals types in standard auctions an experiment this paper studies experimentally how information about rivals types affects bidding behavior in firstand second price auctions the comparative static hypotheses associated with information about rivals enables us to test the relevance of such information as well as the general predictions of the auction theory by providing an effective means to control for risk aversion and other behavioral motives that were difficult to control for in previous experiments our experimental evidence provides strong support for the theory and sheds light on the roles of risk aversion and the spite motive in first and second price auctions respectively

the evolution of rationality and the red queen abstract strategic rationality is subjected here to natural selection in a zero sum repeated game of incomplete information one long run individual is informed of the state of the world and plays against a sequence of short run opponents who are not strategies are noisy and have bounded recall an equilibrium in these is shown to exist relative to any such equilibrium sufficiently greater recall enjoys an advantage that is not decreasing in the original level of recall thus capturing the red queen effect the selection pressure to reduce a small amount of noise is less than that to increase recall

quantifying equilibrium network externalities in the ach banking industry we seek to estimate the causes and magnitudes of network externalities for the automated clearinghouse ach electronic payments system using a panel data set on individual bank usage of ach we construct an equilibrium model of consumer and bank adoption of ach in the presence of a network the model identifies network externalities from correlations of changes in usage levels for banks within a network from changes in usage following changes in market concentration or sizes of competitors and from adoption decisions of banks outside the network with small branches in the network and can separately identify consumer and bank network effects we structurally estimate the parameters of the model by matching equilibrium behavior to the data using simulated maximum likelihood and a data set of localized networks and use a bootstrap to recover confidence intervals the parameters are estimated with high precision and fit various moments of the data reasonably well we find that most of the impediment to ach adoption is due to large consumer fixed costs of adoption the deadweight loss from the network externality is moderate the optimal number of ach transactions is about 16 higher than the equilibrium level

behavior in all pay auctions with incomplete information abstract this paper analyzes the behavior of single unit all pay auctions within the independent private values environment in the laboratory we study revenue individual bidding behavior and efficiency in relation to theoretical benchmarks and to a similar study of winner pay first price sealed bid auctions we conclude that the all pay auction yields significantly higher revenue than both the risk neutral bayesian equilibrium and the winner pay auction bidders decisions move closer to equilibrium levels over time in the auction

an infinitely repeated rental model with incomplete information abstract in an infinitely repeated rental model with two types of buyer and no discounting the set of all nash equilibrium payoffs for the seller and the buyer is characterized

the adoption of network goods evidence from the spread of mobile phones in rwanda this article develops a method to estimate and simulate the adoption of a network good i estimate demand for mobile phones as a function of individuals social networks coverage and prices using transaction data from nearly the entire network of rwandan mobile phone subscribers at the time over 4 5 years i estimate the utility of adopting a phone based on its eventual usage subscribers pay on the margin so calls reveal the value of communicating with each contact i use this structural model to simulate the effects of two policies a requirement to serve rural areas lowered operator profits but increased net social welfare developing countries heavily tax mobile phones but standard metrics that neglect network effects grossly understate the true welfare cost in a growing network which is up to 3 12 times the revenue raised shifting from handset to usage taxes would have increased the surplus of poorer users by at least 26

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

soft money and campaign finance reform we analyze special interest influence on policy when political contributions are capped but the regulation contains soft money loopholes the politician chooses between two policy options we define special interest influence as the probability the politician chooses the policy he would not have chosen in the absence of contributions any binding cap reduces special interest influence but the effect may be nonmonotonic a ban on contributions can result in greater special interest influence than a binding but nonzero cap the results may also have implications for the policy response to the 2010 supreme court ruling on citizens united v fec

risk sharing and transactions costs evidence from kenya s mobile money revolution we explore the impact of reduced transaction costs on risk sharing by estimating the effects of a mobile money innovation on consumption in our panel sample adoption of the innovation increased from 43 to 70 percent we find that while shocks reduce consumption by 7 percent for nonusers the consumption of user households is unaffected the mechanisms underlying these consumption effects are increases in remittances received and the diversity of senders we report robustness checks supporting these results and use the four fold expansion of the mobile money agent network as a source of exogenous variation in access to the innovation jel e42 g22 o16 o17 z13 in developing countries informal networks provide an important means by which individuals and households share risk though the insurance they provide is often incomplete economists have proposed a number of reasons for this incompleteness including information asymmetries which manifest in problems of moral hazard and limited commitment both of which induce positive correlations between realized income and consumption in this article we emphasize a complementary source of incompleteness transaction costs literally the costs of transferring resources between individuals we test the impact of transaction costs on risk sharing by analyzing data from a large panel household survey that we designed and administered in kenya over a three year period to capture the expansion of mobile money this financial innovation has allowed individuals to transfer purchasing power by simple short messaging service sms technology and has dramatically reduced the cost of sending money across large distances mobile money is a recent innovation in developing economies one of the first and most successful examples to date is kenya s m pesa 1 in just four years after its

bayesian repeated games and reputation the folk theorem characterizes the subgame perfect nash equilibrium payoffs of an undiscounted or discounted infinitely repeated game with fully informed patient players as the feasible individually rational payoffs of the one shot game to which extent does the result still hold when every player privately knows his own payoffs under appropriate assumptions private values and uniform punishments the nash equilibria of the bayesian infinitely repeated game without discounting are payoff equivalent to tractable completely revealing equilibria and can be achieved as interim cooperative solutions of the initial bayesian game this characterization does not apply to discounted games with sufficiently patient players in a class of public good games the set of nash equilibrium payoffs of the undiscounted game can be empty while limit perfect bayesian nash equilibrium payoffs of the discounted game as players become infinitely patient do exist these equilibria share some features with the ones of multi sided reputation models