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

north south trade export led growth with abundant labour abstract a north south model is developed in which the south is represented as a neo classical dual economy conditions are imposed which make temporary equilibrium unique and walrasian stable and long run balanced growth paths globally asymptotically stable in the short run an expansion of northern demand for southern products always improves the terms of trade in the long run however an increase in the growth rate of northern demand can turn the terms of trade against the south reduce real wages and lower living standards

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

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

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

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

selection of entrepreneurs in the venture capital industry an asymptotic analysis we study a model of entrepreneurs who compete in an auction like setting for venture capital vc funding in a setting where limited capital dictates that the vc can only finance the best entrepreneurs with asymmetric information vcs can only assess entrepreneurs by the progress of development which in equilibrium reveals the quality of the new technology using an asymptotic analysis we prove that in attractive industries having a large number of entrepreneurs competing for vc funding could lead to underinvestment in technology by entrepreneurs as the effort exerted by losing entrepreneurs is wasted the study then proceeds to characterize the conditions under which a greater number of competing entrepreneurs is better the model also demonstrates that vcs could possibly increase their payoff by concentrating on a single industry in addition the study also provides some insights on the effects of multiple investments by vcs and the effects of competition among vcs on the same investments

terms of trade and domestic distribution export led growth with abundant labour abstract a general equilibrium macro model is constructed to explore effects of export led growth policies on the terms of trade and the domestic distribution of a developing region with abundant labour this region the south trades with another the north they have different technologies and supplies of factors it is shown that under certain conditions of dualism in the production of goods and of abundant labour supply in the south an increase in the volume of exports from the south may bring about a sustained worsening of the south s terms of trade with the north even if this increase in exports is due to a positive shift in demand from the north this change in the terms of trade is accompanied by a sustained loss of purchasing power of wages within the south these results take place in a walrasian stable market when technologies are more homogenous and labour less abundant the results are reversed increased exports will take place together with improvements in terms of trade and a tendency to equalise factor prices between the regions the results argue for coordination of domestic and international policies with special attention to technologies and labour markets

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

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

export led growth with abundant labour a defense of orthodoxy abstract using a general equilibrium model of north south trade graciela chichilnisky has concluded that if dualism and labour abundance in the south are sufficiently pronounced the export supply curve of that region will be negatively sloped and as a result the familiar neoclassical results of an increase in the north s demand for these exports and of an export policy in the south are reversed we show that the neoclassical results are valid whether or not the supply curve is downward sloping

terms of trade domestic distribution and export led growth a rejoinder to rejoinders abstract this note responds to rejoinders by gunning 1984 srinivasan and bhagwati 1984 and to a new comment by findlay 1984 all dealing with my 1981 results on export led growth chichilnisky 1981 and with my recent response to earlier comments chichilnisky 1984 the 1981 results on export led growth are analyzed further and both the comparative statics and stability propositions are shown to be correct exactly as stated errors and misinterpretations in the comments by gunning srinivasan bhagwati and findlay are traced to 1 the erroneous identification of a cross equilibrium locus with a supply curve an error akin to the basic identification problem in econometrics and 2 the erroneous stability analysis which derives from using a cross equilibrium locus as a supply curve both of these errors arise from an attempt to understand with partial equilibrium tools what is essentially a general equilibrium phenomenon it is also shown that all the examples these authors provide confirm the stability and comparative statics results of my 1981 paper the only difference is in their erroneous interpretation of the adjustment process from one equilibrium to another what is left after these errors are corrected is pure rhetoric

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

the factor structure in equity options principal component analysis of equity options on dow jones rms reveals a strong factor structure the rst principal component explains 77 of the variation in the equity volatility level 77 of the variation in the equity option skew and 60 of the implied volatility term structure across equities furthermore the rst principal component has a 92 correlation with sp g12 g13

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

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

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

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

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

elasticity of substitution and the perverse export supply response abstract this paper re examines the possibility of perverse export supply response in the south in a 2 2 2 trade model we find that such perverse response is impossible if the elasticity of substitution in the production of the basic good in the south is greater than or equal to unity

graciela chichilnisky s model of north south trade abstract the model of the effects of north south trade set out by chichilnisky in the april 1981 issue of the journal of development economics is shown to contain a number of errors the model is presented anew in this note after corrections are made one can still obtain results similar in spirit to some of those chichilnisky tried to derive although the interpretation of the cause of the results must be substantially altered in particular it is shown that for appropriate parameter values in this model one will find that it is possible for an increase in the demand for the good the north exports to lead to 1 a worsening of the terms of trade for the south 2 a worsening of the distribution of factor incomes in the north and in the south 3 a reduction in the total export revenues of the south and 4 at the same time an increase in the physical volume of the south s exports the cause is in essence a shift in world demand from the good the south exports to the good the north exports which leads to a terms of trade loss for the south income effects following from the terms of trade loss then lead to a situation where the south s own demand for its export good falls by more than its supply thus leading to the preverse effect of an increase in the volume of its exports the paper also considers the model of chichilnisky and cole 1978 this model is similar to that of chichilnisky 1981 and is used to examine the same issues but is closed in a different way it is shown that this second model may give similar results as the first but that also a quite different set of results is now possible closure is therefore shown to play a key role

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

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

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

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

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

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

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

north south trade and exported led policies abstract an earlier paper in this journal chichilnisky 1981 formulated a model of north south trade where the south exports a labor intensive commodity in exchange for industrial goods the paper studied moves to new equilibria with higher levels of exports of the south and of industrial demand in the north it was established that with abundant labor and technological dualism such moves lead to more exports but no lower terms of trade consumption and real wages in the south this occurs within walrasian stable and perfectly competitive markets sufficient conditions were also given for the south to improve its terms of trade real wages and consumption through an export expansion this paper comments on several other papers written on these results generalizes the earlier propositions and extends them to a larger class of economies which export labor intensive products but need not have abundant labor it gives a generalization of the earlier results on uniqueness and stability of the equilibria and reports also on recent econometric tests for sri lanka and the u k and numerical simulations of the model

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

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