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.
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.
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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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,
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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.
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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.
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