Daniel R. Vincent



Downloadable Papers (Abstracts)
Daniel R. Vincent
Department of Economics
University of Maryland
College Park,
MD 20742
(301)-405 3485
(301)-405-3542 (FAX)
Daniel R. Vincent(e-mail)



Vincent, Daniel R.:  “Auction Theory Implications for Antitrust,” chapter in Elgar Encyclopedia on the Economics of Competition and Regulation, ed. Michael Noah, forthcoming.

Abstract:

Auction theory has been used extensively in the theory and practice of anti-trust economics in many ways. This paper aims simply to cover in broad strokes what distinguishes the tools of auction theory from other standard tools of economic analysis in  antitrust regulation. There are at least three facts about auctions that separate this methodology from other commonly used approaches: i) Auctions Have Rules -- auction mechanisms often provide an explicit description of the price formation and resource allocation process; ii) The Rules Determine Behavior -- equilibrium analysis offers predictions about the relationships between economic fundamentals such as preferences and technology and behavior in these mechanisms; and iii) The Rules Can Be Changed -- the auction mechanisms themselves are objects that can be constructed or modified to achieve certain goals or inform analyses.
To download this paper, click here

Vincent, Daniel R.:   “Mixed Bundling and Mergers” (This is a significant reworking of "Mixed Bundling and Imperfect Competition (2014))

Abstract:

Beginning with two Hotelling duopolies where demand for the product in each market is independent of demand for the product in the other, the paper examines the price, profit and welfare consequences that result when first one firm in a market merges with a firm in the other market creating a single two-product firm and then the remaining two firms merge -- resulting in a duopoly of two-product firms. The paper demonstrates how to compute the equilibrium in each market structure.  Assuming that firms cannot commit not to use all the pricing instruments at their disposal, mixed bundling by two-product firms emerges following each merger. While such behavior is a unilateral best response, the equilibrium consequences of these choices end up lowering total profits and welfare compared to the pre-merger markets suggesting that the opportunity to engage in mixed bundling cannot be the sole motivation for such mergers.
To download this paper, click here


Vincent, Daniel R.:  “Multilateral Negotiations and Opportunism”

Abstract:

A model is constructed of dynamic bargaining over two part tariffs among a single upstream firm and a pair of downstream Bertrand competitors. It provides a sufficient condition under which a stationary subgame perfect equilibrium exists with immediate agreement. The equilibrium has the property that with either myopic agents or downstream firms selling independent products, the joint profit-maximizing outcome is achieved. When agents are forward looking and downstream products are substitutes, the incentive for opportunistic behavior causes equilibrium input prices to be below the profit-maximum but above the static pairwise proof prices. The predictions from this model are then contrasted with predictions from another commonly applied model of multi-lateral negotiations, Nash in Nash bargaining and shown to yield significantly different price effects.
To download this paper,
click here


Vincent, Daniel R. and Alejandro M. Manelli:  “Dominant-strategy and Bayesian incentive compatibility in multi-object trading environments”

Abstract:

When a single-object is to be traded, Bayesian and dominant-strategy incentive compatible mechanisms are interim-utility equivalent in  independent, private-values environments; in the same environments, the equivalence breaks down when there are many distinct, indivisible objects to trade. We show that the fixed supply of each type of good imposes strong restrictions on the mechanisms that can be implemented. These restrictions can then be used to determine whether a given Bayesian mechanism has an equivalent dominant strategy mechanism in a multi-unit model.
To download this paper,
click here


Vincent, Daniel R. and Marius Schwartz:  “Platform Competition With User Rebates Under No Surcharge Rules”

Abstract:

We analyze competing strategic platforms setting fees to a local monopolist merchant and rebates to end users, when the merchant is prevented from surcharging platforms’ customers, as frequently occurs with credit cards. Each platform has an incentive to gain transactions by increasing the spread between its merchant fee and user rebate above its rival's spread. This incentive yields non-existence of pure strategy equilibrium in many natural environments.  In some circumstances, there is a mixed strategy equilibrium where platforms choose fee structures that induce the merchant to accept only one platform with equal probability, a form of monopolistic market allocation.
To download this paper,
click here


Manelli, Alejandro M. and Daniel R. Vincent:  “Bayesian and Dominant Strategy Implementation in the Independent Private Values Model”

Abstract:

We prove---in the standard independent private-values model---that the outcome, in terms of expected probabilities of trade and expected transfers, of any Bayesian mechanism, can also be obtained with a dominant strategy mechanism.

To download this paper, click here


Marius Schwartz and Daniel Vincent:  Quantity “Forcing” and Exclusion: Bundled Discounts and Nonlinear Pricing

Abstract:

Quantity “forcing” refers to pricing schemes that reward a buyer for purchasing some threshold quantity from a firm. When there are significant scale economies and buyers are unable to coordinate, economic theory shows that a firm can profitably use quantity forcing to exclude rivals, reducing overall welfare and harming some buyers.  Inducements to reach the quantity threshold may be provided through nonlinear pricing of the target product alone or through bundled discounts on that firm’s other “monopoly” product(s). Open questions remain about whether bundled discounts are the most effective way to achieve exclusion.  Alternatively, bundled discounts can be used to extract rent from a monopoly market but again, single-good nonlinear pricing schemes seem superior.  Cost-based rules for detecting predation are problematic when applied to bundled discounts or to single-good nonlinear pricing.  A workable policy rule that recognizes also the efficiency potential of such pricing practices should combine structural screens with a more detailed conduct inquiry.

To download this paper, click here


Manelli, Alejandro M. and Daniel R. Vincent:  "Multi-Dimensional Mechanism Design: Revenue Maximization and the Multiple Good Monopolist", August, 2004.

Abstract:

The seller of N distinct objects is uncertain about the buyer's valuation for those objects. The seller's problem, to maximize expected revenue, consists of maximizing a linear functional over a convex set of mechanisms. A solution to the seller's problem can always be found in an extreme point of the feasible set.We identify the relevant extreme points and faces and exposed points  of the feasible set. With N=1, the extreme points are easily described providing simple proofs of well-known results. The revenue-maximizing mechanism assigns the object with probability one or zero depending on the buyer's report. With N>1, extreme points often involve randomization in the assignment of goods. Virtually any extreme point of the feasible set maximizes revenue for a well-behaved distribution of buyer's valuations. We provide a simple algebraic procedure to determine whether  a mechanism is an extreme point.
 

To download this paper, click here.



Manelli, Alejandro M. and Daniel R. Vincent:  "Bundling as an Optimal Mechanism for a Multiple-Good Monopolist", June, 2004.

Abstract:

Multiple objects may be sold by posting a schedule consisting of one price for each possible bundle,  and permitting the buyer to select the price-bundle pair of his choice.We identify conditions that must be satisfied by any price schedule that maximizes revenue within the class of all such schedules. We then provide conditions under which a price schedule maximizes expected revenue within the class of all incentive compatible and individually rational mechanisms in the N-object case.We use these results to characterize a class of environments, mainly distributions of valuations, where bundling is the optimal mechanism in the two and three good cases.

To download this paper, click here.



Manelli, Alejandro M. and Daniel R. Vincent:  "Duality in Procurement Design", November, 2003.

Abstract:

Finding an optimal mechanism in a standard adverse selection model is equivalent to solving an infinite dimensional linear program. We  begin with certain feasible mechanisms--- those implemented by auctions, take-it-or-leave-it offers, and combinations of these polar mechanisms---and search for the environments that make them optimal. We prove the optimality of each mechanism using the dual program.

To download this paper, click here.



  Schwartz, Marius and Daniel R. Vincent:  "The No Surcharge Rule and Card User Rebates: Vertical Control by a Payment Network",  October 2003.

Abstract:

The no-surcharge rule (NSR) prohibits merchants from charging different prices to consumers that use credit cards instead of cash. We show that, while an NSR raises card company profits, it may reduce both cash and card transactions. If the card company can offer rebates to its cardholders, it will do so. Rebates benefit card users and harm cash users; they raise total surplus if and only if the proportion of cash users relative to card users exceeds some threshold. A similar condition determines whether total surplus rises under the NSR with rebates compared to no NSR; aggregate consumer surplus moves in opposite direction to total surplus. If the card company cannot limit its member banks from competing vigorously, then an NSR, by cross-subsidizing card purchases, can still reduce total surplus.

To download this paper, click here.



Vincent, Daniel R.:  "Repeated Signalling Games and Dynamic Trading Relationships," (Earlier version as "Bilateral Monopoly, Nondurable Goods and Dynamic Trading Relationships," CMSEMS DP No. 832, May 1989.) International Economic Review(1998),. (Adobe Acrobat (.pdf file))

Abstract:

    A seller of a nondurable good repeatedly faces a buyer who is privately informed about the position of his demand curve. The seller offers a price in each period. The buyer chooses a quantity given the price. The quantity demanded reveals information about the buyer. An equilibrium is characterized with the feature that buyer types separate completely in the first period. This equilibrium uniquely satisfies a modified refinement of the Cho-Kreps criterion. Despite the immediate separation, the buyer distorts his behavior throughout the game. The requirements to signal types can raise the utility of all types of informed players.

 Keywords: Repeated signalling games, refinements of equilibria, bilateral monopoly, bargaining, ratchet effect.

 Journal of Economic Literature Classification Numbers: C73,D43,D82,L14.

To download this paper, click here.


 McAfee, R. Preston., and Daniel R. Vincent:  "Sequentially Optimal Auctions."  Games and Economic Behavior (1997).(Adobe Acrobat (.pdf file))

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 Classifications: C78,D44,D82.

To download this paper, click here.


 McAfee, R. Preston., Wendy Takacs., and Daniel R. Vincent:  "Tarrifying Auction Data."  Rand Journal (Spring,1999).(Adobe Acrobat (.pdf file))

Abstract:

    In trying to convert quotas to tariffs, a strategy that has sometimes been proposed is to auction the quota rights, then use the realized auction prices as a guide to setting tariffs. In the 1980's, New Zealand employed discriminatory price auctions to allocate quota licenses.  We analyze the relationship between the tariff-equivalent and realized auction prices for auctions of quota licenses with resale.  Using panel data from New Zealand's quota license auctions we provide estimates of the expected value of the tariff equivalent. We also exploit data from secondary market prices for the licenses to test some predictions of the model. The predictions of theory are shown to fail suggesting either that auction prices may substantially understate or that aftermarket prices substantially overstate the true tariff equivalent. We explore possible explanations for this failure.

To download this paper, click here.


 McAfee, R. Preston., Daniel C. Quan., and Daniel R. Vincent:  "How to Set Minimum Acceptable Bids with an Application to Real Estate Auctions."  Journal of Industrial Economics, (December, 2002)

Abstract:

    In a general auction model with correlated signals, common components to valuations and endogenous entry, we compute the equilibrium bidding strategies and outcomes, and derive a lower bound on the optimal reserve price.  This lower bound can be computed using data on past sales.  We compute the lower bound using data on real estate auctions, and we show that the optimal reserve for buildings is at least 95% of appraised value, which exceeds typical reserve prices.

To download this paper, click here.


 Vincent, Daniel R., and Motty Perry:  "Optimal Timing of Procurement Decisions and Patent Allocations."  International Economic Review, (November, 2002).

Abstract:

    We illustrate by means of a dynamic research and development race that while at some points in the race social incentives and private incentives may coincide at other points they may diverge -- too many researchers remain in the race. If the social planner cannot determine what stage the researchers have achieved, this informational constraint poses difficulties in ensuring a socially optimal outcome. We show that there is a mechanism which allows the planner to exploit the researchers' private information to determine when and to whom to allocate the exclusive rights to pursue the final prize. This mechanism does not require any transfer of resources and, therefore, will not distort earlier incentives to invest. Furthermore, it is solvable by the iterative elimination of dominated strategies.

To download this paper, click here.



 To return to my homepage,  click here