efficient mechanisms for bilateral trading we consider bargaining problems between one buyer and one seller for a single object the seller s valuation and the buyer s valuation for the object are assumed to be independent random variables and each individual s valuation is unknown to the other we characterize the set of allocation mechanisms that are bayesian incentive compatible and individually rational and show the general impossibility of ex post efficient mechanisms without outside subsidies for a wide class of problems we show how to compute mechanisms that maximize expected total gains from trade and mechanisms that can maximize a broker s expected profit journal of economic literature classification number 026

reciprocal relationships and mechanism design we study an incomplete information game in which players can coordinate their actions by contracting among themselves we model this relationship as a reciprocal contracting procedure where each player has the ability to make commitments contingent on the other players commitments we differ from the rest of the literature on reciprocal contracting by assuming that punishments cannot be enforced in the event that cooperation breaks down we fully characterize the outcomes that can be supported as perfect bayesian equilibrium outcomes in such an environment we use our characterization to show that the set of supportable outcomes with reciprocal contracting is larger than the set of outcomes available in a centralized mechanism design environment in which the mechanism designer is constrained by his inability to enforce punishments against non participants the difference stems from the players ability in our contracting game to convey partial information about their types at the time they offer contracts we discuss the implications of our analysis for modelling collusion between multiple agents interacting with the same principal

optimal collusion with internal contracting abstract in this paper two firms play an infinitely repeated bertrand game and each firm has an agent who produces the firm s output and holds private information about production costs the colluding firms fix prices and allocate market shares based on their agents information we develop a model of collusion in which firms use the presence of agents as a strategic opportunity to restrict their incentives to distort private information we show that such firm behavior may expand the scope of optimal collusion whether market allocation schemes are asymmetric or symmetric

ratifiable mechanisms learning from disagreement in a mechanism design problem participation constraints require that all types prefer the proposed mechanism to some status quo if equilibrium play in the status quo mechanism depends on the players beliefs then the inference drawn if someone objects to the proposed mechanism may alter the participation constraints we investigate this issue by modeling the mechanism design problem as a two stage process consisting of a ratification state followed by the actual play of the chosen game we develop and illustrate a new concept ratifiability that takes account of inferences from a veto in a consistent way

balanced bayesian mechanisms in the transferable utility case a number of authors have identified conditions on beliefs that guarantee the existence of bayesian incentive compatible mechanisms with balanced transfers we present a new easy to interpret condition and we show that it is strictly more general than all the other conditions found in the literature we also study conditions guaranteeing the bayesian implementability of all social decision rules with balanced budget mechanisms

communication in cournot oligopoly abstract this paper studies communication in a static cournot duopoly model under the assumption that the firms have unverifiable private information about their costs we investigate the conditions under which the firms cannot transmit any information through cheap talk and show that when these conditions are violated it may be possible to construct informative cheap talk equilibria if the firms can communicate through a third party communication can be informative even when informative cheap talk is impossible we exhibit a simple mediated mechanism that ensures informative communication and interim pareto dominates the uninformative equilibrium for the firms

exchange of cost information in oligopoly when do oligopolists gain by sharing their private information about their costs with one another what are the social welfare effects of such information exchange i study these questions by comparing the oligopolists expected profits under a cost sharing agreement with their expected profits in the bayesian equilibrium that would arise without cost sharing i also analyse the firms decisions to form a trade association to share their cost data under conditions of linear demand and cournot behaviour industrywide information exchange is the unique point in the core of the trade association membership game the exchange of cost data increases expected profits and welfare but reduces expected consumer surplus cost sharing increases efficiency by raising the market shares of lower cost firms and reducing the variability of aggregate output consumer surplus is diminished however because the variance of output is reduced and consumer surplus is a convex function of output

an empirical study of an auction with asymmetric information this paper examines federal auctions for drain age leases on the outer continental shelf from 1959 to 1969 these are leases that are adjacent to tracts on which a deposit has been discovered the authors find that the data strongly support the hypotheses that neighbor firms are better informed about the value of a lease than nonneighbor firms that neighbor firms coordinate their bidding decisions and that both types of firms bid strategically in accordance with the bayesian nash equilibrium model for first price sealed bid auctions with asymmetric information

awarding monopoly franchises the authors analyze how to award a monopoly franchise when the objective is to maximize expected consumers surplus net of transfer payments to the producer potential producers initially possess independent private information about uncertain production costs only the chosen producer subsequently observes realized production costs after awarding the franchise to the producer with the lowest expected costs prices are optimally set above realized marginal cost these ex post distortions foster more competitive bidding ex ante the distortions for any bid cost pair are invariant to the number of bidders n though expected distortions and profits decline with n copyright 1987 by american economic association

on the detection of collusion and predation abstract this lecture not only shows how game theory can contribute to the detection of collusion and predation but also how experts for the defense can use game theoretic arguments to make such detection difficult a few important european anti trust cases are discussed to illustrate

optimal cartel trigger price strategies abstract a dynamical model of industry equilibrium is described in which a cartel deters deviations from collusive output levels by threatening to produce at cournot quantities for a period of fixed duration whenever the market price falls below some trigger price in this model firms can observe only their own production level and a common market price the market demand curve is assumed to have a stochastic component so that an unexpectedly low price may signal either deviations from collusive output levels or a downward demand shock

contracting problems and the adoption of regulatory cartels since 1966 a usd a marketing order has governed the sales volume of domestic hop growers despite offering cartel like advantages a hop marketing order proposal was defeated in a 1965 referendum of growers using individual grower votes from this referendum this paper identifies the sources of opposition to the 1965 marketing order the analysis proceeds to examine the types of recontracting that transpired enabling the adoption of a revised proposal in 1966

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

duopoly information equilibrium cournot and bertrand abstract in a duopoly model where firms have private information about an uncertain linear demand it is shown that if the goods are substitutes not to share information is a dominant strategy for each firm in bertrand cournot competition if the goods are complements the result is reversed furthermore the following welfare results are obtained 1 i with substitutes in cournot competition the market outcome is never optimal with respect to information sharing but it may be optimal in bertrand competition if the products are good substitutes with complements the market outcome is always optimal 2 ii bertrand competition is more efficient than cournot competition 3 iii the private value of information to the firms is always positive but the social value of information is positive in cournot and negative in bertrand competition

regulation asymmetric information and auditing this article analyzes a model of a regulated firm that is better informed about its cost function than is the regulator by auditing at a cost however the regulator is assumed to be able to observe the realized cost of the firm if the regulator finds that the firm had misrepresented its costs at the time at which prices were set he can order a refund to consumers in the optimal policy the regulator audits when the firm reports for pricing purposes that its costs will be high and orders a refund when the auditfinds that realized costs are lower than anticipated given the original report a separation result that obtains for an important case indicates that the initial pricing decision is independent of the auditing decision the auditing decision however depends on the price that was initially set the optimal auditing strategy is characterized and the nature of the welfare gains are identified the methodology used in the analysis involves the characterization of an equilibrium of a revelation game with an ex post observable

uncertainty resolution private information aggregation and the cournot competitive limit a cournot model of oligopoly in which otherwise identical firms have private differential information about the common cost of production and a shared but unknown demand curve is examined a bayesian equilibrium of the corresponding game of incomplete information is solved for explicitly and analysed in the symmetric equilibrium different firms produce at different output levels because they have different information because the information individual firms have is random total output and hence market price is also random for any finite number of firms the main result of the paper relates to the asymptotic properties of the equilibrium when the number of firms becomes large under fairly general conditions on the joint distribution of demand and individual firms information about demand the random equilibrium price converges almost surely to a constant in the limit more importantly this price equals the perfectly competitive price in other words in large markets even if no firm knows the true market demand curve and firms are not price takers and do not use price as a signal to improve their information the competitive price will prevail with certainty in the limit aggregate outcomes are as if all firms shared their private information with each other

using cost observation to regulate firms the paper emphasizes the use of accounting data in regulatory or procurement contracts when the supplier 1 has superior information about the cost of the project and 2 invests in cost reduction the main result states that under risk neutrality the supplier announces an expected cost and is given an incentive contract linear in cost overruns this optimal contract moves toward a fixed price contract as the announced cost decreases an investment choice is then introduced and the use of a rate of return regulation is studied

optimal cartel equilibria with imperfect monitoring abstract there exist optimal symmetric equilibria in the green porter model 4 8 having an elementary intertemporal structure such an equilibrium is described entirely by two subsets of price space and two quantities the only production levels used by firms in any contingency the central technique employed in the analysis is the reduction of the repeated game to a family of static games

cartel enforcement with uncertainty about costs what cartel agreements are possible when firms have private information about production costs in order for a cartel agreement to work it must take into account the incentives for firms to misrepresent their cost information and it must provide sufficient reward so that no firm wishes to defect for private cost uncertainty we characterize the set of cartel agreements with side payments that can be supported as bayesian nash equilibria we show that if defection results in either cournot or bertrand competition the incentive problems in large cartels are severe enough to prevent the cartel from achieving the monopoly outcome in contrast with common cost uncertainty the incentive problems become less severe in large cartels allowing perfect collusion

the process of commercialisation of urban housing in china the role of the state in housing has been the subject of controversial debate recently in china more and more decision makers consider that the supply of housing should be left to market forces of demand and supply various new policies have been introduced from as early as 1979 designed to commercialise and reform the public sector dominated housing system this paper provides a review of housing reforms and a systematic account of the key features of the commercialisation process it focuses principally on the attempts to privatise public sector housing in urban areas in the context of the major characteristics and problems of the urban housing system the development of reform policies and legislation and current reform practice

collusion enforcement with private information and private monitoring abstract this paper shows that a cartel that observes neither costs prices nor sales may still enforce a collusive agreement by tying each firm s continuation profit to the truncated current profits of the other firms the mechanism applies to both price and quantity competition and the main features are broadly consistent with common cartel practice identified by harrington and skrzypacz 24

coordinating research through research joint ventures abstract in a simple model we show that a joint venture can implement the rates of investment that maximize joint profit when firms research abilities are private information this can be done with budget balance even though there are participation constraints there is no conflict between budget balance and participation constraints because firms payoffs can depend on ex post signals of abilities the conflict between budget balance and participation constraints is restored when both abilities and rates of investment are unobservable we give a condition under which the profit maximizing rates of investment can be implemented if we relax budget balance

an anatomy of cartel contracts we study cartel contracts using data on 18 contract clauses of 109 legal finnish manufacturing cartels one third of the clauses relate to raising profits the others deal with instability through incentive compatibility cartel organization or external threats cartels use three main approaches to raise profits price market allocation and specialization these appear to be substitutes choosing one has implications on how cartels deal with instability simplifying we find that large cartels agree on prices cartels in homogenous goods industries allocate markets and small cartels avoid competition through specialization

asymmetric information bargaining problems with many agents a yes or no decision must be made about some issue all agents must agree the coase theorem asserts that the efficient outcome will always result suppose the value positive or negative that an individual attaches to an affirmative decision is privately known to that individual it is proved under very mild conditions that with independent types as the number of agents increases the probability of an affirmative efficient decision goes to zero an example in which it is common knowledge that an affirmative decision is efficient and yet the probability of such a decision goes to zero is given

optimizing an international network of partially owned plants under conditions of trade liberalization for the last four decades the preferred economic philosophy in much of latin america was that of import substituting industrialization as a result multinational corporations mncs approached different countries with the expectation that each plant would primarily serve its domestic market each of these plants was partially owned by the mnc beginning in the late 1980s latin america countries began decreasing barriers to cross border trade this made competition between the units belonging to a common network possible for the first time operations which had subsisted side by side in spite of differences in costs and quality of output and which were under the control of different owners now found themselves in competition with one another and having to rationalize their efforts in this paper we analyze the problem of operating a network of plants under conditions of free trade and exchange rate fluctuations when the firms that compose it are partially owned subsidiaries of an mnc a model of three subsidiaries and four countries is developed for one industry based on actual corporate and economic data we study the problem of coordinating the activities of the subsidiaries and allocating the gains arising from coordination

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

a general characterization of interim efficient mechanisms for independent linear environments we consider the class of bayesian environments with independent types and utility functions which are both quasi linear in a private good and linear in a one dimensional private value type parameter we call these independent linear environments for these environments we fully characterize interim efficient allocation rules which satisfy interim incentive compatibility and interim individual rationality constraints we also prove that they correspond to decision rules based on virtual surplus maximization together with the appropriate incentive taxes we illustrate these techniques with applications to auction design and public good provision

regulating a monopolist with unknown costs we consider the problem of how to regulate a monopolistic firm whose costs are unknown to the regulator the regulator s objective is to maximize a linear social welfare function of the consumers surplus and the firm s profit in the optimal regulatory policy prices and subsidies are designed as functions of the firm s cost report so that expected social welfare is maximized subject to the constraints that the firm has nonnegative profit and has no incentive to misrepresent its costs we explicitly derive the optimal policy and analyze its properties in their classic papers dupuit 2 and hotelling 5 considered pricing policies for a bridge that had a fixed cost of construction and zero marginal cost they demonstrated that the pricing policy that maximizes consumer well being is to set price equal to marginal cost and to provide a subsidy to the supplier equal to the fixed cost so that a firm would be willing to provide the bridge this first best solution is based on a number of informational assumptions first the demand function is assumed to be known to both the regulator and to the firm while the assumption of complete information may be too strong the assumption that information about demand is as available to the regulator as it is to the firm does not seem unnatural a second informational assumption is that the regulator has complete information about the cost of the firm or at least has the same information about cost as does the firm this assumption is unlikely to be met in reality since the firm would be expected to have better information about costs than would the regulator as weitzman has stated an essential feature of the regulatory environment i am trying to describe is uncertainty about the exact specification of each firm s cost function in most cases even the managers and engineers most closely associated with production will be unable to precisely specify beforehand the cheapest way to generate various hypothetical output levels because they are yet removed from the production process the regulators are likely to be vaguer still about a firm s cost function 12 p 684 as this observation suggests it is natural to expect that a firm would have better information regarding its costs than would a regulator the purpose of this paper is to develop an optimal regulatory policy for the case in which the regulator does not know the costs of the firm one strategy that a regulator could use in the absence of full information about costs is to give the firm the title to the total social surplus and to delegate the pricing decision to the firm in pursuing its own interests which would then be to maximize the total social surplus the firm would adopt the same marginal cost pricing strategy that the regulator would have imposed if the regulator had

equilibrium rejection of a mechanism we study a mechanism design problem in which players can take part in a mechanism to coordinate their actions in a default game by refusing to participate in the mechanism a player can revert to playing the default game non cooperatively we show with an example that some allocation rules are implementable only with mechanisms which will be rejected on the equilibrium path in our construction a refusal to participate conveys information about the types of the players this information causes the default game to be played under different beliefs and more importantly under different higher order beliefs than the interim ones we find a lower bound on all the implementable payoffs we use this bound to establish a condition on the default game under which all the implementable outcomes are truthfully implementable without the need to induce rejection of the mechanism