name your own price at priceline com strategic bidding and lockout periods a buyer suggests prices to n sellers in a time period and buys from the seller who accepts the bid first the number of bidding rounds is determined by how frequently the buyer can make an offer we show that with no limit on the frequency and without discounting the price path is either kept flat initially with large jumps at the end or increasing steadily over time which class of path occurs in equilibrium depends on the buyer s trade off between committing to a price ceiling versus finely screening the sellers costs with discounting limiting the number of rounds mitigates the delay caused by the reluctance to raise bids in the first class of equilibrium and therefore can benefit the buyer this result suggests why in reality bargaining parties often take measures to make their offers rigid and consequently force themselves to make fewer offers copyright oxford university press

planning under incomplete information and the ratchet effect abstract central planning of production is usually performed under asymmetric information the firm in general has more information about its productive possibilities than the central planner from now on for short cp this justifies the use of incentives schemes in which the cp does not directly fix activity levels casual observation of such existing schemes suggests that the time dimensions is crucial for their working typically the cp revises the incentive scheme over time to take into account the information provided by the firm s performance managers of centrally planned economies as well as economists have long recognized that this revision induces firms to underproduce in order to avoid demanding schemes in the future this is the ratchet effect it is purpose of the present paper to study the ratchet effect under the non commitment assumption which we believe to be more realistic the inadequacy of conceptual tools made if difficult in the past to consider such an assumption now basic research on dynamic games with incomplete information recently resulted in new ideas which look particularly relevant for a theoretical analysis of the problem

research note optimal selling in dynamic auctions adaptation versus commitment this paper analyzes optimal selling strategies of a monopolist facing forward looking patient unit demand bidders in a sequential auction market such a seller faces a fundamental choice between two selling regimes adaptive selling that involves learning about remaining demand from early prices and commitment selling that forgoes such learning and makes all selling decisions in the beginning of the game a model of the game between the seller and the bidders is proposed to characterize the optimal regime choice the model implies that the relative profitability of the two regimes depends on the expected gains from trade when the expected gains from trade are low commitment dominates adaptation and vice versa

durable goods monopolists durable goods monopolists face special problems because the sale of their products creates a secondhand market not controlled by the monopolist to the extent the monopolist is able to rent his product rather than sell it or to make binding promises about his future production such problems are ameliorated given the inability to do the above the monopolist is led to producing goods less durable than those produced by either competitive firms or monopolist returns a reverse averch johnson result that monopolist sellers may invest less in fixed costs including plant modernization and research and development than would the renters is shown it is also shown that even though sellers have less monopoly power than renters and nondurable goods monopolists it is possible that the seller will cause a greater deadweight loss than the other types of monopolies

dynamic contracting under adverse selection and renegotiation abstract we study the effects of renegotiation in an infinitely repeated screening model with long term contracts we propose a simple and tractable recursive formulation to study equilibria in which the monopolist s profit is maximized after every history we show that the monopolist sequentially screens high type consumers and characterize second degree price discrimination policies the monopolist s ability to extract rent from high type consumers by distorting the allocation of low type consumers vanishes as all parties become more patient as a result all distortions disappear and the allocation becomes efficient

the principal agent relationship with an informed principal ii common values in many circumstances a principal may have relevant private information when she proposes a contract to an agent we analyze such a principal agent relationship as a noncooperative game the principal proposes a contract which is accepted or rejected by the agent who for most of our analysis has no private information the contract is executed if accepted otherwise the reservation allocation takes effect this allocation may be determined by a pre existing contract which the principal by her proposal is attempting to renegotiate or it may simply be the no trade point in this paper we assume that the principal s information directly affects the agent s payoff before solving the game we discuss pareto efficiency with asymmetric information we define an incentive compatible allocation to be weakly interim efficient wie if there exists no alternative incentive compatible allocation that both parties prefer for all possible beliefs that the agent might have about the principal s private information type we show that any wie allocation is interim efficient ie for some beliefs the rothschild stiglitz wilson rsw allocation relative to the reservation allocation l is the allocation that maximizes the payoff of each type of principal within the class of incentive compatible allocations that guarantee the agent at least the utility he gets from a irrespective of his beliefs about the principal s type the equilibrium set of the contract proposal game consists of the allocations that weakly pareto dominate the rsw allocation thus there is a unique equilibrium outcome if and only if the latter is ie and the equilibrium outcome is the rsw allocation itself after characterizing the equilibrium allocations we study those that are renegotiation proof when either the principal or the agent leads the renegotiation we then compare our contract proposal game which is a signaling model with its screening counterpart we conclude by extending our results to the case in which the agent as well as the principal has private information under the assumption of quasi linear preferences

relative prices and investment rates abstract we construct a panel for the price of aggregate investment over consumption and report the following observations 1 relative price differences across countries are large over the entire sample period and this conclusion is not affected by excluding non tradable consumption goods 2 relative price dispersion has decreased during the sample period 3 relative price changes are not persistent across periods while average price levels are moreover the persistence in relative price levels is higher for countries at low relative prices we show that the relative price of investment is negatively correlated with investment rates in a cross section of countries the standard one sector growth model is a natural framework to study quantitatively the effects of barriers to capital accumulation since there is a very simple mapping between barriers to investment and relative prices in this environment we simulate a calibrated version of the model in which barriers follow a stochastic process common to all countries and estimated using relative price data and obtain statistics for investment rates that closely resemble what we observe in the data in particular the model accounts for 90 of the 1985 gini index of relative investment rates and the decline in investment rate dispersion over time the model has two limitations as a theory of development first it cannot account for the income disparity in the data unless we assume unmeasured capital with barriers affecting the broad measure of capital second even under these extreme assumptions the model cannot account for the evolution of income disparity over time

foundations of dynamic monopoly and the coase conjecture subgame perfect equilibria are characterized for a market in which the seller quotes a price each period assume zero costs positive interest rate continuum of buyers and some technical conditions if buyers valuations are positive then equilibrium is unique buyers strategies are stationary and the price sequence is determinant along the equilibrium path but possibly randomized elsewhere otherwise a continuum of stationary equilibria can exist but at most one with analytic strategies coase s conjecture is verified for stationary strategies reducing the period length drives all prices to zero or the least valuation connections to bargaining models are described journal qf economic literature classification

sequentially optimal auctions abstract in auctions where a seller can post a reserve price but if the object fails to sell cannot commit never to attempt to resell it revenue equivalence between repeated first price and second price auctions without commitment results when the time between auctions goes to zero seller expected revenues converge to those of a static auction with no reserve price with many bidders the seller equilibrium reserve price approaches the reserve price in an optimal static auction an auction in which the simple equilibrium reserve price policy of the seller mirrors a policy commonly used by many auctioneers is computed journal of economic literature classification numbers c78 d44 d82

civil conflict democratization and growth violent democratization as critical juncture in this paper we provide an empirical investigation of the interaction between violent conflicts democratization and growth in the third wave of democratization the effect of democratization is weakened when taking into account the incidence of civil conflict the results show that the growth effect of democratization is heterogeneous and depends on the democratization scenario peaceful transitions to democracy have a significant positive effect on growth that is even larger than reported previously in the literature whereas violent transitions have no or even negative growth effects

intertemporal price discrimination with two products we study the two product monopoly profit maximization problem for a seller who can commit to a dynamic pricing strategy we show that if consumers valuations are not strongly ordered then optimality for the seller can require intertemporal price discrimination the seller offers a choice between supplying a complete bundle now or delaying the supply of a component of that bundle until a later date for general valuations we establish a sufficient condition for such dynamic pricing to be more profitable than mixed bundling so we show that the established no discrimination across time result does not extend to two product sellers under standard taste distributions

contracting with imperfect commitment and noisy communication abstract this paper provides new analytical tools for studying principal agent problems with adverse selection and limited commitment by allowing the principal to use general communication devices we overcome the literature s common but overly restrictive focus on one shot direct communication in addition general communication devices solve two fundamental problems of contracting with imperfect commitment first they allow us to identify the local downward incentive constraints as the relevant ones if the agent s preferences satisfy a single crossing property second we show how one may restrict the cardinality of the message spaces of the communication device an example illustrates our arguments and the suboptimality of one shot direct communication

optimal selling strategies when to haggle when to hold firm a seller encountering risk neutral buyers one at a time should if commitments are feasible quote a single take it or leave it price to each this strategy is superior to any other for finite or infinite buyer populations whether there is learning or the distribution of buyer prices is known at the outset with one object for sale or many although haggling may offer advantages in terms of price discrimination these gains are more than offset by the losses it generates by encouraging buyers to refuse purchases at high prices

from bottom of the barrel to cream of the crop sequential screening with positive selection in a number of interesting environments dynamic screening involves positive selection in contrast with coasian dynamics only the most motivated remain over time the paper provides conditions under which the principal s commitment optimum is time consistent and uses this result to derive testable predictions under permanent or transient shocks it also identifies environments in which time consistency does not hold despite positive selection and yet simple equilibrium characterizations can be obtained

reputation in bargaining and durable goods monopoly this paper analyzes durable goods monopoly in an infinite horizon discrete time game we prove that as the time interval between successive offers approaches zero all seller payoffs between zero and static monopoly profits are supported by subgame perfect equilibria this reverses a well known conjecture of coase alternatively one can interpret the model as a sequential bargaining game with one sided incomplete information in which an uninformed seller makes all the offers our folk theorem for seller payoffs equally applies to the set of sequential equilibria of this bargaining game

contract negotiation and the coase conjecture a strategic foundation for renegotiation proof contracts what does contract negotiation look like when some parties hold private information and negotiation frictions are negligible this paper analyzes this question and provides a foundation for renegotiation proof contracts in this environment the model extends the framework of the coase conjecture to situations in which the quantity or quality of the good is endogenously determined and to more general environments in which preferences are nonseparable in the traded goods as frictions become negligible all equilibria converge to a unique outcome which is separating efficient and straightforward to characterize

adverse selection and renegotiation in procurement as was shown by dewatripont optimal long term contracts are generally not sequentially optimal the parties ex post renegotiate them to their mutual advantage this paper fully characterizes the equilibrium of a simple two period procurement situation and studies the extent to which renegotiation reduces ex ante welfare i a central result is that like in the non commitment case the second period allocation is optimal for the principal conditionally on his posterior beliefs about the agent ii the first period allocation exhibits an increasing amount of pooling when the discount factor grows iii with a continuum of types it is never optimal to induce full separation the paper also analyzes whether renegotiated long term contracts yield outcomes resembling those under either unnegotiated long term contracts or a sequence of short term contracts and it links the analysis with the multiple unit durable good monopoly problem

contract design and non cooperative renegotiation abstract we study a contract design setting in which the contracting parties cannot commit not to renegotiate previous contract agreements in particular we characterize the outcome functions that are implementable for an uninformed principal and an informed agent if having observed the agent s contract choice the principal can offer a new menu of contracts in its place an outcome function can be implemented in this setting if and only if it is optimal for the principal for some belief over agent types which is more pessimistic in the sense of the likelihood ratio order than the prior furthermore the outcome function cannot be too sensitive to variations in the agent s type we show that the direct revelation mechanism which implements such a function when renegotiation can be prevented will also implement it in any equilibrium when it cannot so the standard contract is robust to renegotiation

the dynamics of incentive contracts the paper studies a simple two period principal agent model in which the principal updates the incentive scheme after observing the agent s first period performance the agent has superior information about his ability the principal offers a first period incentive scheme and observes some measure of the agent s first period performance cost or profit which depends on the agent s ability and unobservable first period effort the relationship is entirely run by short term contracts in the second period the principal updates the incentive scheme and the agent is free to accept the new incentive scheme or to quit the strategies are required to be perfect and updating of the principal s beliefs about the agent s ability follows bayes rule the central theme of the paper is that the ratchet effect leads to much pooling in the first period first for any first period incentive scheme there exists no separating equilibrium second when the uncertainty about the agent s ability is small the optimal scheme must involve a large amount of pooling the paper also gives necessary and sufficient conditions for the existence of partition equilibria and looks at the effect of cost uncertainty

contract renegotiation and coasian dynamics consider a long term relationship between a seller and a buyer whose valuation for a per period service or a durable good is private as trade progresses the valuation will be partially revealed and it may be impossible for the parties to commit ex ante not to take advantage of this we analyse this situation first by supposing that the parties can sign a sequence of short term contracts and secondly by supposing that they can sign a long term contract but cannot commit not to renegotiate it later we find a close relationship in the second case between the optimal long term contract and the non commitment outcome in the standard coasian durable good model our results also have implications for hidden information principal agent models

contracting with imperfect commitment and the revelation principle the single agent case this paper extends the revelation principle to environments in which the mechanism designer cannot fully commit to the outcome induced by the mechanism we show that he may optimally use a direct mechanism under which truthful revelation is an optimal strategy for the agent in contrast with the conventional revelation principle however the agent may not use this strategy with probability one our results apply to contracting problems between a principal and a single agent by reducing such problems to well defined programming problems they provide a basic tool for studying imperfect commitment

auctions with limited commitment we study the role of limited commitment in a standard auction environment in each period the seller can commit to an auction with a reserve price but not to future reserve prices we characterize the set of equilibrium profits attainable for the seller as the period length vanishes an immediate sale by efficient auction is optimal when there are at least three buyers for many natural distributions two buyers is enough otherwise we give conditions under which the maximal profit is attained through continuously declining reserve prices

incumbency and entry in license auctions the anglo dutch auction meets another simple alternative the existence of ex ante strong incumbents may constitute a barrier to entry in auctions for goods such as licenses favoring the allocation to entrants is a way to induce entry and thus create competition designs such as the anglo dutch auction have been proposed with this goal in mind we first show that the anglo dutch auction does indeed foster entry and increases the revenues of the seller however we argue that a more effective way could be to stage the allocation of the good so that each stage reveals information about the participants we show that a sequence of english auctions with high reserve prices in early rounds fulfils this property and is more efficient than any one stage entry auction moreover it also outperforms the anglo dutch auction in terms of seller s revenues

on the value of commitment with asymmetric information several recent papers have emphasized that long term relationships can be efficiently governed by short term contracts provided that there is no asymmetric information at the contracting dates this excludes not only adverse selection problems but also moral hazards problems in which hidden actions generate private information over the future in this paper we show in the context of a multiperiod principal agent relationship with adverse selection that renegotiable short term contracts can be as efficient as long term renegotiation proof contracts on the other hand spot contracting may fail to achieve long run efficiency not only because of intertemporal smoothing as with symmetric information but also because of ratchet effects and time inconsistency in the optimal structure of informational rents thus some limited commitment seems to be a necessary and sufficient condition to achieve long run efficiency

mediation and peace this article applies mechanism design to the study of international conflict resolution standard mechanisms in which an arbitrator can enforce her decisions are usually not feasible because disputants are sovereign entities nevertheless we find that this limitation is inconsequential despite only being capable of making unenforceable recommendations mediators can be equally effective as arbitrators by using recommendation strategies that do not reveal that one player is weak to a strong opponent a mediator can effectively circumvent the unenforceability constraint this is because these strategies make the strong player agree to recommendations that yield the same payoff as arbitration in expectation this result relies on the capability of mediators to collect confidential information from the disputants before making their recommendations simple protocols of unmediated communication cannot achieve the same level of ex ante welfare as they preclude confidentiality

sequentially optimal mechanisms this paper establishes that posting a price in each period is a revenue maximizing allocation mechanism in a finite period model without commitment a risk neutral seller has one object to sell and faces a risk neutral buyer whose valuation is private information and drawn from an arbitrary bounded subset of the real line the seller has all the bargaining power she designs a mechanism to sell the object at t but if trade does not occur at t she can propose another mechanism at t 1 we show that posting a price in each period is an optimal mechanism a methodological contribution of the paper is to develop a procedure to characterize optimal dynamic incentive schemes under non commitment that is valid irrespective of the structure of the agent s type 2006 the review of economic studies limited

a multistage model of bargaining this paper presents a simple multistage model of bargaining wherein a seller makes an offer that can be either accepted or refused if rejected the process continues how the seller s ability to make commitments affects bargaining outcomes is analysed by comparing the commitment equilibria to those arising when commitment is impossible the effects of increasing uncertainty about preferences and varying the length of the bargaining horizon are analysed the ways in which the bargaining environment can be changed to improve outcomes are discussed

credible sales mechanisms and intermediaries we consider a seller who faces several buyers and lacks access to an institution to credibly close a sale if buyers anticipate that the seller may negotiate further they will prefer to wait before making their best and final offers this in turn induces the seller to bargain at length with buyers even if doing so is costly when the seller s cost of soliciting another round of offers is either very large or very small the seller credibly commits to an auction and experiences negligible bargaining costs otherwise there may be several rounds of increasing offers and significant seller losses in these situations an intermediary with a sufficiently valuable reputation and or weak marginal incentives regarding price can create value by credibly committing to help sell the object without delay