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

violence during democratization and the quality of democratic institutions abstract this paper investigates the impact of violent civil conflicts during the process of democratization on the institutional quality of the emerging democracies we propose a theory of endogenous regime transition in which violent conflict can arise in equilibrium peaceful transitions lead to a social contract that provides all groups with political representation and leads to better protection of civil liberties than violent transitions empirical evidence from the third wave of democratization based on a difference in difference methodology supports the theoretical predictions the findings suggest that compared to peaceful transitions violent conflicts during the democratic transition have persistent negative effects on the institutional quality of the emerging democracies

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

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

the determinants of equilibrium unemployment in britain a lot of energy is currently being expended in trying to understand what has been happening to unemployment in britain and the rest of the developed world in this paper we look at this question in the british context by trying to confront some possible explanations with the data since the data we use are quarterly over rather a short period we are setting the explanations a very hard test most explanations tend to be rather casual and the theories underpinning them ill developed thus for example the so called real wage argument is based on the idea that real wages affect labour demand and that the equilibrium real wage bears some relatively stable relationship to output per head but how stable is not clear thus whether or not we can expect a well defined stable ceteris paribus dynamic relationship between real product wages as a proportion of output per head and unemployment is equally unclear so if such a relationship does not show up in a quarterly regression model this may not be that serious for the theory nevertheless we must look for the relationship for how else are we ever to discriminate between a plethora of conflicting views the primary emphasis in this paper is on the secular factors affecting unemployment rather than the cyclical variables consequently we shall not be concerned with developing a coherent theory of cyclical fluctuations and in the empirical work we shall control for the cycle simply by making use of those exogenous or predetermined variables which other work in this field suggests are important 2 the remainder of the paper is set out as follows the next section is concerned with specifying a model which generates a definition of equilibrium unemployment the outline of this model is a pair of equations determining the flows into and out of unemployment and these are specified in section ii which looks closely at the possible variables involved section iii then deals with the results and presents some general conclusions

winner take all and proportional prize contests theory and experimental results abstract this study provides a unified framework to compare three canonical types of contests winner take all contests won by the best performer winner take all lotteries where probability of success is proportional to performance and proportional prize contests in which rewards are shared in proportion to performance we derive equilibria and observe outcomes from each contest in a laboratory experiment equilibrium and observed efforts are highest in winner take all contests lotteries and proportional prize contests have the same nash equilibrium but empirically lotteries induce higher efforts and lower more unequal payoffs behavioral deviations from theoretical benchmarks in different contests are caused by the same underlying attributes such as risk aversion and the utility of winning finally we find that subjects exhibit consistent behavior across different types of contests with subjects exerting higher effort in one contest also exerting higher effort in another contest

income and democracy evidence from nonlinear estimations we test the relation between income and democracy during the postwar period we employ panel estimation methods that explicitly allow for the fact that the primary measures of democracy are censored with substantial mass at the boundaries we find that the statistically significant positive income democracy relationship is robust to the inclusion of country fixed effects

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

election goals and the allocation of campaign resources this paper compares the equilibrium behavior and outcomes in a model of two party competition for legislative seats under two different assumptions about the parties goals 1 parties maximize the expected number of seats won and 2 parties maximize the probability of winning a majority of the seats the two goals may lead to qualitatively different behavior and studying the differences yields insights into the relationship between the goals and the role of assymetries between the parties

efforts in two sided contests the degree of rent dissipation is studied in extended two sided contests that in volve two types of efforts while usual contestants expend resources in trying to win the contested prize potential recipients of the rent seeking efforts also participate in the con test this is due to uncertainty regarding the source of power in the contest that induces the bureaucrats to expend resources to increase their share in the rent seeking efforts by try ing to appear as the party controlling the allocation of the prize we show that the existing theoretical and empirical studies are incomplete and may underestimate the extent of rent dissipation

credible threats in a wage bargaining model with on the job search abstract this note shows that in standard equilibrium search models with strategic wage bargaining and on the job search renegotiation does not require mutual consent if the worker needs a credible threat to trigger renegotiation wages are renegotiated less frequently than in the original model

contests with limited resources abstract many interesting phenomena electoral competition r d races lobbying are instances of multiple simultaneous contests with unconditional commitment of limited resources specifically the following game is analyzed two players compete in a number of simultaneous contests the players have limited resources budgets and must decide how to allocate these to the different contests in each contest the player who expends more resources than his adversary wins a corresponding prize mixed strategy equilibria are characterized in the case of identical values and budgets and the connections with the classical blotto game are analyzed

distributional preferences in probabilistic and share contests we analyze nash equilibria of probabilistic and share contests where players have distributional preferences if players are sufficiently similar distributional preferences create multiple equilibria for the case of only mildly heterogeneous players equilibrium effort can be lower as well as higher than effort exerted by players with selfish preferences these findings can explain the following three anomalies observed in empirical tests of probabilistic and share contests the large variance of effort levels overspreading individual spending that exceeds the nash equilibrium prediction overspending and aggregate spending that exceeds the value of the prize overdissipation if players are sufficiently heterogeneous the game has a unique equilibrium that is more egalitarian than the selfish nash equilibrium it turns out that the less talented competitor may win the larger share of the prize if his inequality aversion is sufficiently strong we analyze how the equilibria evolve if the number of players becomes larger and how sequential moves influence behavior two new insights follow from the analysis of the sequential move game first sequential moves act as a coordination device in case of multiple simultaneous equilibria and second inequality aversion of the more egalitarian player can be used as a commitment device for low effort this effect can reverse the conventional wisdom that the underdog should lead

the optimal prize structure of symmetric tullock contests we show that the optimal prize structure of symmetric n player tullock tournaments assigns the entire prize pool to the winner provided that a symmetric pure strategy equilibrium exists if such an equilibrium fails to exist under the winner take all structure we construct the optimal prize structure which improves existence conditions by dampening efforts if no such optimal equilibrium exists no symmetric pure strategy equilibrium induces positive efforts

reevaluating the modernization hypothesis we revisit and critically reevaluate the widely accepted modernization hypothesis which claims that per capita income causes the creation and the consolidation of democracy existing studies find support for this hypothesis because they fail to control for the presence of omitted variables controlling for these factors either by including country fixed effects in a linear model or by including parameterized random effects in a nonlinear double hazard model removes the correlation between income and the likelihood of transitions to and from democratic regimes in addition the estimated fixed effects from the linear model are related to historical factors that affect both the level of income per capita and the likelihood of democracy in a country this evidence is consistent with the idea that events during critical historical junctures can lead to divergent political economic development paths some leading to prosperity and democracy others to relative poverty and non democracy

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

effectiveness of electoral systems for reducing government corruption a game theoretic analysis abstract a theoretical model is developed for predicting the relative effectiveness of different electoral systems for reducing government corruption we consider voting games in which parties with known corruption levels and known positions on a major policy question compete for legislative seats we find that approval voting and proportional representation are fully effective in the sense that all equilibria exclude corrupt parties from legislative seats plurality voting is partly effective in the sense that there always exist some equilibria that exclude corrupt parties borda voting is ineffective because for some political situations no equilibria can guarantee the exclusion of corrupt parties journal of economic literature classification number d72

evolutionary equilibrium in contests with stochastic participation entry effort and overdissipation this paper examines the evolutionary stability of behaviour in contests where players participation can be stochastic we find for exogenously given participation probabilities players exert more effort under the concept of a finite population evolutionarily stable strategy fpess than under nash equilibrium ne we show that there is ex ante overdissipation under fpess for sufficiently large participation probabilities if and only if the impact function is convex with costly endogenous entry players enter the contest with a higher probability and exert more effort under fpess than under ne importantly under endogenous entry overdissipation can occur for all tullock contest success functions in particular those with concave impact functions

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

income and democracy revisiting the evidence abstract in an influential paper acemoglu et al 2008 find that the positive correlation between income per capita and the level of democracy across countries vanishes once country specific effects are accounted for in this paper we find evidence of a non linear effect from income to democracy even after controlling for country specific effects in particular our findings point to the existence of a positive effect only in low income countries

a model of the evolution of duopoly does the asymmetry between firms tend to increase or decrease this paper is an attempt to identify some of the factors that affect the evolution of market structure in a model of dynamic competition between two firms the stochastic evolution of the state of competition depends on the respective effort rates of the firms the question is whether the current leader works harder than the laggard does the gap between firms tend to increase or decrease we show that several effects are at work the state tends to evolve in the direction where joint payoffs are greater since joint payoffs are related to joint product market profits less joint effort costs there are two classes of effect the joint profit effect and various joint cost effects the latter result in part from the pattern of profits and in part from endpoint effects that give relief from efforts asymptotic expansions illuminate these influences moreover we show by numerical simulation that there is another kind of joint cost effect the pattern of joint effort costs can influence the pattern of evolution of market structure and the evolution of the pattern of market structure can influence the pattern of efforts in a mutually self reinforcing manner in particular there may be equilibria in which this last effect means that the laggard works harder than the leader even though all the other effects work in favour of the leader

free entry and efficient rent seeking this paper concerns rent seeking and the extent to which rents are dissipated under various circumstances gordon tullock s 1967 insight that expenditures made to capture an artificially created transfer represent a social waste suggested that the cost to the economy of monopoly and regulation is greater than the simple harberger 1954 deadweight loss indeed under tullock s original formulation and in the extensions of his work by krueger 1974 and posner 1975 rents are exactly dissipated at the social level 1 is spent to capture 1 so that the total welfare loss from such activities is equal to the harberger triangle plus the rectangle of monopoly profits

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

understanding rent dissipation on the use of game theory in industrial organization game theory has had a deep impact on the theory of industrial organization in a similar but less controversial way as the rational expectations revolution in macroeconomics the reason it has been embraced by a majority of researchers in the field is that it imposes some discipline on theoretical thinking it forces economists to clearly specify the strategic variables their timing and the information structure faced by firms as is often the case in economics the researcher learns as much from constructing the model the extensive form as from

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

stochastic asymmetric blotto games some new results stochastic asymmetric blotto games some new results john duffy abstract blotto games alexander matros we develop some new theoretical results for stochastic asymmetric keywords colonel blotto game contests resource allocation lotteries jel classification nos c72 c73 d72 d74 1 introduction the colonel blotto game borel 1921 is a two player non cooperative game in which players decide how to allocate their given resources across battlefields in borel s original version of this game the player who allocates the most resources to any given battlefield wins that battlefield with certainty the players objective function is either to maximize the sum of the value of the battlefields won or to win a majority value of the battlefields in this paper we study stochastic asymmetric versions of the blotto game under both of these objective functions in an asymmetric blotto game the values of the battlefields may di er from one another though these di erent values are common to all players in the stochastic asymmetric version of the blotto game the deterministic rule for determining which player wins each battlefield is replaced by a lottery contest success function where the chances of winning a given battlefield are increasing with the amount of resources devoted to that battlefield this stochastic lottery specification makes the payo function continuous as a result if a nash equilibrium exists it is unique and in pure strategies as opposed to the multiplicity of typically mixed strategy equilibria that arise in deterministic versions of the blotto game there are two main theoretical papers about stochastic asymmetric blotto games 1 the first one friedman 1958 considers two players who seek to maximize their expected total payo we show that friedman s result can be extended to any number of players the second paper lake 1979 was the first to study the stochastic asymmetric majority rule blotto game 2 this version of the game is particularly relevant to understanding electoral competitions in two party systems e g the electoral college system for electing the u s president lake studied only the case of equal budget constraints we show that if players budgets are the same as in lake or if they are su ciently similar and the number of items battlefields is not too large then resource allocation under the majority rule version of the stochastic asymmetric blotto game is proportional to the banzhaf power index for each item while more generally resource allocation for a particular item will not be proportional to each item s banzhaf power index our findings thus generalize those of lake 1979 department of economics university of california irvine email du y uci edu moore school of business university of south carolina and lancaster university management school email alexander matros gmail com see kovenock and roberson 2012 for a broader survey of the blotto game literature we discovered lake s 1979 paper only after we had completed our analysis his proofs are di erent from ours but his main result coincides with our prediction for the case of equal budgets we thank steve brams for providing this reference

risk attitudes and heterogeneity in simultaneous and sequential contests we prove existence and uniqueness of equilibrium in rent seeking contests in which players are heterogeneous in both risk preferences and production technology given identical linear production technology if the number of risk loving players is large enough the aggregate investment in equilibrium will exceed the rent and all risk neutral and risk averse players will exit the contest in simultaneous and sequential contests with two players we can identify the favorite and underdog based on both players preference parameters our theoretical results suggest that subjects in some recent contest experiments behaved as if they were risk loving

efficiency and competition in the long run the survival of the unfit abstract in a dynamic contest the current incumbent competes against a randomly assigned entrant in a private value all pay auction each period we focus on equilibria where the beliefs about the incumbent s type and the employed strategies are stationary we show that inefficient types survive even if the entrants arrive very frequently because the entrant plays more aggressively than the incumbent allowing a low type entrant to win against a high type incumbent in an example we show that if the incumbent is challenged more often then the equilibrium type of the incumbent is higher on average when the value of the prize is the same for all players the case studied in the public choice literature the equilibrium rent of the bidders is fully dissipated as the incumbent is challenged infinitely often the technical contribution lies in showing the existence of stationary equilibrium in an incomplete information game

the design of rent seeking competitions in the standard tullock model of rent seeking as a noncooperative game aggregate expenditures by seekers can equal exceed or fall short of total rents depending on what is assumed about the number of seekers and the marginal return to a seeker s investment if the supply of an input into the rent seeking process is controlled by a politician who receives payment from seekers for it the indeterminacy of the process becomes a less serious problem he supplies it and designs the rent seeking game to maximize his wealth the author derives expressions for the number of seekers and the marginal return parameter which maximize the politician s wealth in one input and two input rent seeking processes

overbidding and overspreading in rent seeking experiments cost structure and prize allocation rules we study experimentally the effects of cost structure and prize allocation rules on the performance of rent seeking contests most previous studies use a lottery prize rule and linear cost and find both overbidding relative to the nash equilibrium prediction and significant variation of efforts which we term overspreading we investigate the effects of allocating the prize by a lottery versus sharing it proportionally and of convex versus linear costs of effort while holding fixed the nash equilibrium prediction for effort we find the share rule results in average effort closer to the nash prediction and lower variation of effort combining the share rule with a convex cost function further enhances these results we can explain a significant amount of non equilibrium behavior by features of the experimental design these results contribute towards design guidelines for contests based on behavioral principles that take into account implementation features of a contest

dynamic rent seeking games the present paper analyses rent seeking games in which competitors for a rent can act and react finitely or infinitely often it argues for an infinite move model as the most appropriate specification of a model of rent seeking dynamic equilibrium analysis of this game suggests that wasteful expenditures in rent seeking competitions are lower than previously studied static simultaneous move games predict journal of economic literature classification numbers d72 c73

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

directly unproductive profit seeking dup activities this paper propses directly unproductive profit seeking dup activities as a general concept that embraces a wide range of recently analyzed economic activities including the subset of rent seeking activities considered by krueger it then proceeds to provide a synthesis and generalization of the welfare theoretic analysis of such activities by developing a fourfold categorization of cases depending on the levels of distortions before and after the dup activity thus a unification and overview of the subject are achieved

whether to attack a terrorist s resource stock today or tomorrow reprinted from games and economic behavior 64 2 kjell hausken whether to attack a terrorist s resource stock today or tomorrow pages no 548 564 copyright 2008 with permission from elsevier

information alliances in contests with budget limits we study the role of information exchange that may occur in alliances in a contest without noise contestants learn their own limits of what they can spend in a contest they may also form alliances and learn the limits of all players who are within the same alliance then they decide independently about their own contest efforts alliance formation for the purpose of information exchange is beneficial for members of the same alliance and neutral for all other players also a merger between alliances is beneficial for their members further we identify and discuss the set of stable alliance combinations

patent competition rent dissipation and the persistence of monopoly the role of research budgets abstract the paper investigates how patent rights can contribute to the persistence of monopoly patent competition is modelled as a dollar auction game between two firms incumbent and entrant any bid expenditure on r d in the game constitutes sunk cost whose total amount is constrained by fixed research budgets the explicit solution subgame perfect equilibrium determines who wins the patent and how the winning expenditures depend on order of play and budgets of firms the entrant can win if he moves first and has the higher budget rent may or may not be dissipated by the competition

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

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

best of three contest experiments strategic versus psychological momentum abstract we conduct an experimental analysis of a best of three tullock contest intermediate prizes lead to higher efforts while increasing the role of luck as opposed to effort leads to lower efforts both intermediate prizes and luck reduce the probability of the contest ending in two rounds the patterns of players efforts and the probability that a contest ends in two rounds are consistent with strategic momentum i e a momentum generated due to strategic incentives inherent in the contest we do not find evidence for psychological momentum i e a momentum which emerges when winning affects players confidence similar to the previous studies of contests we find significantly higher efforts than predicted and strong heterogeneity in effort between the subjects

the gender difference in the value of winning we design an all pay auction experiment in which we reveal the gender of the opponent using this design we find that women bid higher than men but only when bidding against other women these findings interpreted through a theoretical model incorporating differences in risk attitude and the value of winning suggest that women have a higher value of winning than men

reexamining efficient rent seeking in laboratory markets given millner and pratt s 1989 finding of behavior inconsistent with theory we reexamine efficient rent seeking in experimental markets we show that a when r 3 no nash equilibrium exists and therefore behavior has no theoretical benchmark to judge consistency and b when r 1 with a new experimental design utilizing an explicit expected payoff matrix rent seeking behavior is consistent with both nash equilibrium and dissipation hypotheses

experimental comparison of multi stage and one stage contests this article experimentally studies a two stage elimination contest and compares its performance with a one stage contest contrary to the theory the two stage contest generates higher revenue than the equivalent one stage contest there is significant over dissipation in both stages of the two stage contest and experience diminishes over dissipation in the first stage but not in the second stage our experiment provides evidence that winning is a component in a subject s utility a simple behavioral model that accounts for a non monetary utility of winning can explain significant over dissipation in both contests it can also explain why the two stage contest generates higher revenue than the equivalent one stage contest

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

competitive burnout theory and experimental evidence abstract we examine equilibrium selection in a two stage sequential elimination contest in which contestants compete for a single prize this game has a continuum of equilibria only one of which satisfies the coalition proof nash equilibrium cpne refinement that equilibrium involves burning out by using all of one s resources in the first stage it is pareto dominated by many other equilibria we find that cpne predicts well when four people compete but not when eight people compete for two second stage spots using a cognitive hierarchy ch framework we show that when the number of players and the mean number of thinking steps are large the ch prediction involves burning out this provides a partial explanation of our results we also develop a formal argument as to why cpne logic is more compelling with more players we conclude that more competition leads to higher bids and that burning out is indeed a competitive phenomenon

income and democracy comment acemoglu et al 2008 document that the correlation between income per capita and democracy disappears when including time and country fixed effects while their results are robust for the full sample we find evidence for significant but heterogeneous effects of income on democracy negative for former colonies but positive for non colonies within the sample of colonies we detect heterogeneous effects related to colonial history and early institutions the zero mean effect estimated by acemoglu et al 2008 is consistent with effects of opposite signs in the different subsamples our findings are robust to the use of alternative data and estimation techniques jel d72 o17 o47

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

on perfect rent dissipation if economists are united on anything it is the proposition that monopoly prices reduce economic welfare by preventing the realization of the maximum gains from trade in any market the extent of such distortions to efficiency are often called harberger costs after arnold harberger s 1954 provocative attempt to measure the extent of these losses in the u s economy more recent analysis has revealed that when monopoly power is achieved via regulation at least part of the monopoly rents so gained will not be simple transfers from consumers to producers but will be dissipated by producers rent seeking activity since such activity employs real resources there are additional costs to monopolization beyond the harberger costs as emphasized by gordon tullock 1967 and richard posner 1975 indeed posner and others have argued that if competition for the monopoly rents is perfect all of the expected rents from regulation will be converted to welfare losses while franklin fisher s 1985 comment has qualified this conclusion somewhat the upshot of the debate is that the rent seeking or tullock costs may greatly exceed the harberger costs 1 another recent strand of the analysis concerns the time pattern over which monopoly returns are dissipated by competition to gain and hold the monopoly right robert mccormick et al 1984 emphasize that to the extent such expenditures are sunk they are forever lost and not recoverable by deregulation while conceding the point martin cherkes et al 1986 argue that most rentseeking expenditures are recurring not sunk and therefore large gains from deregulation remain the purpose of this essay is to point out that recurring or sunk even the largest specification of the harberger and tullock costs of regulatory monopolization may fall far short of the actual welfare costs this is because the analysis concentrates on the rent seeking tullock costs and largely ignores the parallel rent defending2 tullock costs a proper assessment of such rent defending tullock costs might more than double the maximum welfare costs of regulation suggested by posner

rent seeking market structure and growth we study the role of productive and unproductive entrepreneurship in economic growth in a setting where firms compete in both economic and political markets specifically firms compete for market share through cost reducing technological innovation and they vie for influence over government transfer policy through rent seeking activities we find that rent seeking affects growth in two ways it allows firms to ignore economic competition leading to less innovation and it alters the number of firms that are supported in equilibrium the former effect is negative while the latter is ambiguous we show how these effects depend on various characteristics of economic and political markets

gordon tullock entrepreneur of public choice when gordon tullock first encountered james m buchanan in 1957 as an initial step in his transition from the bureaucracy of the u s department of state to the ivy league atmosphere of the university of virginia he carried with him a voluminous manuscript on bureaucracy that he had tried unsuccessfully to publish buchanan 1987a 11 although eight years would pass before that manuscript eventually would be published three years after publication of the calculus of consent 1962 tullock s pioneering instincts already had directed him to the as yet uncharted path of public choice already had alerted him to the ubiquitous presence of homo economicus in the marketplace of politics buchanan quickly recognized the potential importance of combining tullock s insight with his own wicksellian notion of the importance of consent in political process as the basis for a radical research program trespassing across the traditional boundaries of economics and politics ignoring tullock s lack of formal training in economics buchanan installed him in the thomas jefferson center for studies in political economy and thereby provided that crucially important initial support absent which many a potential entrepreneur has failed to fulfill his talent steadfast in this judgment and firm in his resolve buchanan later was to gamble his own career together with the future of the virginia school of political economy in a 1968 exodus from charlottesville as the left leaning ideologically activist bureaucracy of thomas jefferson s academy thrice denied tullock a well earned promotion to full professor breit 1986 buchanan s judgment was sound and the virginia school reemerged unscathed and fortified as buchanan and his protege regrouped in the foothills of the appalachian mountains to carry the baton of the virginia public choice research

multi battle contests an experimental study this study examines behavior of subjects in simultaneous and sequential multi battle contests in simultaneous contests subjects make positive bids in each battle 80 of the time and bids fall within the predicted boundaries however 35 of the time subjects make positive bids in only two instead of all three battles and they significantly overuse moderately high bids in sequential contests theory predicts sizable bids in the first battle and no bids in the subsequent battles contrary to this prediction subjects significantly underbid in the first battle and overbid in subsequent battles consequently instead of always ending in the second battle contest proceeds to the third battle 38 of the time finally in both simultaneous and sequential settings subjects make higher aggregate bids than predicted resulting in negative expected payoffs

optimal lottery design for public financing this article develops a model of optimal lottery design for public financing on the assumption that economic agents view buying lottery tickets as a form of entertainment given that lotteries are optimally designed it offers two findings 1 the fundraising potential of a lottery is independent of its type specifically of whether it is a fixed prize type or a pari mutuel and 2 the ratio of the optimal winning prize amount in each prize class to total lottery sales is equalised to the elasticity of demand for lottery ticket purchases with respect to the winning prize in each prize class

causes of the current stagflation since 1975 labour slack has been unusually high in the oecd countries and yet inflation has not diminished the less favourable mix of unemployment and rate of change of inflation which we call stagflation is explained by a fall in the feasible rate of growth of real wages unmatched by a reduction in the constant term in phillips curve to investigate this mechanism conventional wage and price equations are estimated for 19 countries and then used for simulation stagflation has been caused in roughly equal amounts by rising relative import prices and by the fall in the rate of productivity growth in the basic model the phillips curve is assumed not to adapt to falls in feasible real wage growth but in a final section an adaptive wage equation is estimated which confirms that the process of adaptation is slow

long run equilibrium and total expenditures in rent seeking a comment although corcoran is mathematically correct i believe his comment is not very helpful in order to discuss the matter in some detail the reader should consult table 7 1 from my original efficient rent seeking reproduced on page 92 1 this shows the equilibrium investment of each individual different numbers of individuals playing the game n and differing values of r table 7 2 also reproduced on page 93 shows the total investment

racing with uncertainty a patent race experiment this paper presents an experimental test of the multi stage patent race model of harris and vickers rev econ stud 54 1987 1 tied competitors invested more when nearer the end of the race but this may have followed from a more general and unexplained pattern of a positive correlation between investment and progress in the race the relationship between investment and gap between competitors was mostly not as predicted also leaders did not invest more than not heavily lagging followers and the race did not approach monopoly as the gap between competitors widened overall the evidence brings only limited support to the theory

efficient rents 1 rent seeking behavior in the long run we have analyzed long run behavior in rent seeking under several conditions and behavioral hypotheses the question of interest is whether or not the long run expenditures will exactly equal the value of the rents our results depend on the type of competitive response which is assumed to exist in the long run and on the r value governing the probability of winning

risk averse rent seekers and the social cost of monopoly power there is now quite general recognition that the social cost of monopoly power encompasses the resources expended by individuals seeking to become the beneficiaries of monopoly rents however since the activity of rent seeking is generally not observable direct estimates of resources expended in quests to acquire monopoly power are usually impossible to come by 1 as a consequence the indirect approach of taking the observed value of monopoly rents as indicative of the unobserved value of the resources expended in rent seeking is quite generally adopted in approaches to evaluation of the social cost of such activity

long run equilibrium and total expenditures in rent seeking the lure of excess profits or rents associated with monopoly power gives rise to expenditures to obtain these rents competitive rent seeking behavior is recognized as a factor which must be included among the wastes associated with monopoly power tullock 1967 posner 1975 1 the expenditures are aimed at transferring wealth rather than its creation and the use of resources to obtain this transfer is a loss to society how important rent seeking is as a part of the total monopolistic waste hinges on the size of the total expenditures induced by a given level of excess profits

rent seeking rent defending and rent dissipation in the preceding analyses of rent defending the posner model yielded welfare losses in excess of the combined areas of the tullock rectangle and the harberger triangle in only one instance furthermore this particular circumstance necessitated voluntary participation in a game with a negative expected value 13 for the tullock rogerson model the explicit addition of rent defenders had no impact on aggregate dissipation

pork barrel politics targetable policies and fiscal federalism this article utilizes a simple model of redistributive politics with jurisdictional specific local projects to analyze the inefficiencies that arise under differing levels of targetability in both taxes transfers and local projects the ability to tactically target taxes transfers and or local projects leads political parties to engage in pandering to favored groups however in equilibrium we find that greater targetability in the set of available policies actually intensifies the competition between the political parties and so increases efficiency in the provision of local projects jel d72 h41

income and democracy a smooth varying coefficient redux summary acemoglu et al american economic review 2008 98 808 842 find no effect of income on democracy when controlling for fixed effects in a dynamic panel model work by moral benito and bartolucci economics letters 2012 117 844 847 and cervellati et al american economic review 2014 104 707 719 suggests that the original model might have been misspecified and proposes alternative specifications instead we formally test these parametric specifications by implementing lee s journal of econometrics 2014 178 146 166 dynamic panel test of linear parametric specifications against a general class of nonlinear alternatives robustly and reject all these specifications however using a more flexible model proposed by cai and li econometric theory 2008 24 1321 1342 we find that the relationship between income and democracy appears to be mediated by education but results are not statistically significant copyright 2016 john wiley sons ltd

an experimental investigation of efficient rent seeking the debate about the measurement of the amount of rent dissipated in rent seeking activities is unable to be answered by observations from the naturally occurring environment current theoretical investigations have indicated that a number of factors will affect the amount of rent that can be assumed to be dissipated by rent seeking the theory of efficient rent seeking predicts that the number of rent seekers their risk posture their ability to enter and exit the rent seeking process and the manner in which the probability of receiving a rent is determined will affect the amount of rent that is dissipated

family ties and socio economic outcomes in high vs low income countries abstractalesina and giuliano illustrate that strong family ties lead to lower geographical mobility and reduced labour force participation of young and female individuals we extend their analysis by arguing that the effect of strong family ties on economic outcomes depends on a country s level of economic and institutional development this cross country heterogeneity arises because strong family ties not only foster traditional family values which have disruptive effects on economic outcomes but also provide economically valuable social networks especially in societies characterised by weak institutions and limited market access empirical evidence using the european and world value surveys evs wvs are supportive of our theoretical argument

sorting through global corruption determinants institutions and education matter not culture abstract identifying the robust determinants of corruption among cultural economic institutional and geographical factors has proven difficult from a policy perspective it is important to know whether inherent largely unchangeable attributes are responsible or if institutional and economic attributes are at work accounting for model uncertainty we use bayesian model averaging bma to analyze a comprehensive list of 36 potential corruption determinants across 123 countries covering 87 percent of the world population the bma methodology sorts through all 68 719 476 736 possible model combinations 2 36 in order to carve out the robust correlates we then take a step toward alleviating endogeneity concerns in an instrumental variable bma framework our results indicate that cultural factors are largely irrelevant whereas particular economic and institutional characteristics matter the rule of law emerges as the most persistent predictor with a posterior inclusion probability pip in the true model of 1 00 whereas we find strong evidence for government effectiveness pip of 0 88 urbanization 0 85 and the share of women in parliament 0 80 as meaningful determinants of lower corruption levels in developing countries the extent of primary schooling enters as a powerful factor with a pip of 1 00

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

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

three object two bidder simultaneous auctions chopsticks and tetrahedra symmetric equilibria are constructed for a class of symmetric auction games the games all have two identical bidders bidding in three simultaneous first price sealed bid auctions for identical objects information is complete and the bidders marginal valuations increase for the second object and then decrease for the third in all cases the support of the mixture that generates the equilibrium is two dimensional and it surrounds a three dimensional set of best responses this appears to be a previously unknown structure

promotions and incentives the case of multistage elimination tournaments promotions play an important role for the provision of incentives in firms we analyze incentives in multistage elimination tournaments with controlled laboratory experiments in our two main treatments we compare a two stage tournament to a one stage tournament subjects in the two stage treatment provide excess effort in the first stage both with respect to nash predictions and compared to the strategically equivalent one stage tournament additional control treatments confirm that excess effort in early stages is a robust finding and suggest that above equilibrium effort might be driven by limited degrees of forward looking behavior and subjects deriving nonmonetary value from competing

multi player race abstract we present a model of race with multiple players and study players effort choices and expected prizes in equilibrium we show that in equilibrium once any two players win one battle each the remaining players do not exert any effort anymore this turns the continuation game into a two player race this is different than the results in previous two player models of race which report that all states of the game are reached with positive probabilities we also provide a set of comparative static results on the effects of the number of players and the victory threshold

beyond chopsticks symmetric equilibria in majority auction games majority auction games are simultaneous sealed bid auctions of identical objects among identical bidders who each want to win a specified fraction more than a half of the objects each bidder receives no benefit from winning less than the specified fraction and no additional benefit from winning more than it symmetric equilibria having simple intuitive forms are shown to exist in first price second price and all pay versions of such games when the number of bidders is sufficiently large this contrasts with earlier results for the two bidder pure chopstick majority auction games where the only known equilibria are more complicated

wages and unemployment a general framework these remarks are addressed directly to the question of the relationship between wages and unemployment and provide neither a commentary on nor a critique of the stimulating papers presented by edmond malinvaud and robert gordon they do however bear on a number of the issues raised in those papers professor gordon s contribution takes it as read that the business cycle is the fundamental issue of interest in any discussion of wages and unemployment in spite of his avowed and most welcome intention to avoid looking at the world through u s tinted spectacles this primacy of the business cycle phenomenon is closely related to the american post war experience in britain and to a slightly lesser extent in other european countries the fundamental unemployment problem is the inexorably rising trend upon which the business cycles are superimposed this trend is barely apparent in the united states and consequently causes little concern thus the figures in table i show that in britain male unemployment was more thanfive times higher in the last five years of the seventies than it was in the first five years of the fifties and it seems likely that it will almost double again in the first five years of the eighties the contrast with the united states could hardly be more dramatic another dramatic difference between the united states and britain which emerges strongly in professor gordon s paper is the fact that in the former employment fluctuations at least in manufacturing are strongly related to fluctuations in nominal gnp and this is not true in the latter where it appears that nominal gnp fluctuations are dominated by nominal changes thus it may not be very useful to think of nominal gnp as the exogenous driving force behind fluctuations in the british context where then should we look for an explanation of the growth in unemployment and what is the role of wages many british commentators have noted that along with the rising trend in unemployment there has also been a rising trend in real labour costs relative to output per head thus from i964 to i980 this number has risen in britain by about 35 reflecting a considerable increase in the price of labour relative to what is produced this is the well known argument that unemployment is caused by workers pricing themselves out of a job this is more rational than it sounds because generally speaking it would be employees pricingothers outofa job on the other side of the same coin dr morley in thisjournal in 1979 noted that 88 of the variation in annual british unemployment from 1953 to 1977 could be explained by the pre tax profit share one year lagged thus unemployment appears to be related to the fact that real wages and the real return on capital are simply wrong which relates of course to the extensive analysis provided in m malinvaud s contribution

package auctions and exchanges we report recent advances concerning the package allocation problem in which traders seek to buy or sell combinations of goods the problems are most difficult when some goods are not substitutes in that case competitive equilibrium typically fail to exist but the core is non empty and comprises the competitive solutions also in that case the vickrey auction fails to select core allocations and yield revenues that are less than competitive the ausubel milgrom auction generally selects core allocations and when goods are substitutes prescribes the vickrey allocation we also evaluate the problems and promise of mechanisms for the package exchange problem

the incidence of overdissipation in rent seeking contests tullock s analysis of rent seeking and overdissipation is reconsidered we show that while equilibrium strategies do not permit overdissipation in expectation for particular realizations of players mixed strategies the total amount spent competing for rents can exceed the value of the prize we also show that the cross sectional incidence of overdissipation in the perfectly discriminating contest ranges from 0 50 to 0 44 as the number of players increases from two to infinity thus even though the original analysis of overdissipation is flawed there are instances in which rent seekers spend more than the prize is worth

risk aversion and rent seeking an extension and some experimental evidence theoretical investigations indicate that the risk attitudes of individuals will effect the amount of rent that can be assumed to be dissipated by rent seeking activities following this line of investigation we extend hillman and katz s work to a small numbers case and demonstrate that the degree to which a monopoly rent is dissipated is dependent upon the structure of the risk attitudes of two risk averse individuals

income and democracy existing studies establish a strong cross country correlation between income and democracy but do not control for factors that simultaneously affect both variables we show that controlling for such factors by including country fixed effects removes the statistical association between income per capita and vari ous measures of democracy we present instrumental variables estimates that also show no causal effect of income on democracy the cross country corre lation between income and democracy reflects a positive correlation between changes in income and democracy over the past 500 years this pattern is con sistent with the idea that societies embarked on divergent political economic development paths at certain critical junctures jel d7 e 1

communication and efficiency in competitive coordination games costless pre play communication has been found to effectively facilitate coordination and enhance efficiency in games with pareto ranked equilibria we report an experiment in which two groups compete in a weakest link contest by expending costly efforts allowing intra group communication leads to more aggressive competition and greater coordination than control treatments without any communication on the other hand allowing inter group communication leads to less destructive competition as a result intra group communication decreases while inter group communication increases payoffs our experiment thus provides an example of an environment where communication can either enhance or damage efficiency this contrasts sharply with experimental findings from public goods and other coordination games where communication always enhances efficiency and often leads to socially optimal outcomes