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We initiate the study of how auction design affects the division of surplus among buyers. We propose a parsimonious measure for equity and apply it to the family of standard auctions for homogeneous goods. Our surplus-equitable mechanism is…

Theoretical Economics · Economics 2024-11-14 Simon Finster , Patrick Loiseau , Simon Mauras , Mathieu Molina , Bary Pradelski

We consider the problem of a revenue-maximizing seller with m items for sale to n additive bidders with hard budget constraints, assuming that the seller has some prior distribution over bidder values and budgets. The prior may be…

Computer Science and Game Theory · Computer Science 2016-05-09 Constantinos Daskalakis , Nikhil R. Devanur , S. Matthew Weinberg

We revisit the problem of designing the profit-maximizing single-item auction, solved by Myerson in his seminal paper for the case in which bidder valuations are independently distributed. We focus on general joint distributions, seeking…

Computer Science and Game Theory · Computer Science 2012-05-15 Christos Papadimitriou , George Pierrakos

We study a seller who sells a single good to multiple bidders with uncertainty over the joint distribution of bidders' valuations, as well as bidders' higher-order beliefs about their opponents. The seller only knows the (possibly…

Theoretical Economics · Economics 2022-02-16 Ethan Che

This paper considers Bayesian revenue maximization in the $k$-unit setting, where a monopolist seller has $k$ copies of an indivisible item and faces $n$ unit-demand buyers (whose value distributions can be non-identical). Four basic…

Computer Science and Game Theory · Computer Science 2022-07-22 Yaonan Jin , Shunhua Jiang , Pinyan Lu , Hengjie Zhang

We consider the unit-demand envy-free pricing problem, which is a unit-demand auction where each bidder receives an item that maximizes his utility, and the goal is to maximize the auctioneer's profit. This problem is NP-hard and unlikely…

Computer Science and Game Theory · Computer Science 2013-10-02 Cristina G. Fernandes , Carlos E. Ferreira , Álvaro J. P. Franco , Rafael C. S. Schouery

We study buyer-optimal procurement mechanisms when quality is contractible. When some costs are borne by every participant of a procurement auction regardless of winning, the classic analysis should be amended. We show that an optimal…

Theoretical Economics · Economics 2024-11-20 Pasha Andreyanov , Ilia Krasikov , Alex Suzdaltsev

This paper studies a setting in which multiple suppliers compete for a buyer's procurement business. The buyer faces uncertain demand and there is a requirement to reserve capacity in advance of knowing the demand. Each supplier has costs…

Computer Science and Game Theory · Computer Science 2019-05-28 Edward Anderson , Bo Chen , Lusheng Shao

A fundamental economic question is that of designing revenue-maximizing mechanisms in dynamic environments. This paper considers a simple yet compelling market model to tackle this question, where forward-looking buyers arrive at the market…

Theoretical Economics · Economics 2024-10-16 Jose Correa , Andres Cristi , Laura Vargas Koch

We introduce several new estimation methods that leverage shape constraints in auction models to estimate various objects of interest, including the distribution of a bidder's valuations, the bidder's ex ante expected surplus, and the…

Econometrics · Economics 2019-12-17 Joris Pinkse , Karl Schurter

We develop a novel optimization model to maximize the profit of a Demand-Side Platform (DSP) while ensuring that the budget utilization preferences of the DSP's advertiser clients are adequately met. Our model is highly flexible and can be…

Optimization and Control · Mathematics 2018-05-31 Alfonso Lobos , Paul Grigas , Zheng Wen , Kuang-chih Lee

In this paper, we develop a new method for finding an optimal biddingstrategy in sequential auctions, using a dynamic programming technique. Theexisting method assumes that the utility of a user is represented in anadditive form. Thus, the…

Computer Science and Game Theory · Computer Science 2013-01-14 Hiromitsu Hattori , Makoto Yokoo , Yuko Sakurai , Toramatsu Shintani

We study a classic Bayesian mechanism design setting of monopoly problem for an additive buyer in the presence of budgets. In this setting a monopolist seller with $m$ heterogeneous items faces a single buyer and seeks to maximize her…

Computer Science and Game Theory · Computer Science 2018-10-09 Yu Cheng , Nick Gravin , Kamesh Munagala , Kangning Wang

We study individual rational, Pareto optimal, and incentive compatible mechanisms for auctions with heterogeneous items and budget limits. For multi-dimensional valuations we show that there can be no deterministic mechanism with these…

Computer Science and Game Theory · Computer Science 2012-10-01 Paul Duetting , Monika Henzinger , Martin Starnberger

We consider the problem of the optimization of bidding strategies in prior-dependent revenue-maximizing auctions, when the seller fixes the reserve prices based on the bid distributions. Our study is done in the setting where one bidder is…

Computer Science and Game Theory · Computer Science 2019-05-15 Thomas Nedelec , Noureddine El Karoui , Vianney Perchet

We study a class of procurement auctions with a budget constraint, where an auctioneer is interested in buying resources or services from a set of agents. Ideally, the auctioneer would like to select a subset of the resources so as to…

Computer Science and Game Theory · Computer Science 2017-10-10 Georgios Amanatidis , Georgios Birmpas , Evangelos Markakis

Auction design for the modern advertising market has gained significant prominence in the field of game theory. With the recent rise of auto-bidding tools, an increasing number of advertisers in the market are utilizing these tools for…

Computer Science and Game Theory · Computer Science 2024-12-31 Changfeng Xu , Chao Peng , Chenyang Xu , Zhengfeng Yang

We present tight bounds and heuristics for personalized, multi-product pricing problems. Under mild conditions we show that the best price in the direction of a positive vector results in profits that are guaranteed to be at least as large…

Theoretical Economics · Economics 2021-02-17 Guillermo Gallego , Gerardo Berbeglia

Auction has been used to allocate resources or tasks to processes, machines or other autonomous entities in distributed systems. When different bidders have different demands and valuations on different types of resources or tasks, the…

Computer Science and Game Theory · Computer Science 2019-02-26 Li-Hsing Yen , Guang-Hong Sun

We study the equilibria of uniform price auctions where many asymmetric bidders have flat demands up to their respective quantity constraints. We present an iterative procedure that systematically finds an equilibrium outcome as well as an…

Theoretical Economics · Economics 2026-04-09 Kiho Yoon
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