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Myerson's seminal work provides a computationally efficient revenue-optimal auction for selling one item to multiple bidders. Generalizing this work to selling multiple items at once has been a central question in economics and algorithmic…

Computer Science and Game Theory · Computer Science 2013-04-02 Constantinos Daskalakis , Alan Deckelbaum , Christos Tzamos

We show that in the single-parameter mechanism design environment, the only non-wasteful, symmetric, incentive compatible and Sybil-proof direct mechanism is a second price auction with symmetric tie-breaking. Thus, if there is private…

Computer Science and Game Theory · Computer Science 2026-02-10 Minghao Pan , Bruno Mazorra , Christoph Schlegel , Akaki Mamageishvili

We study the classic single-item auction setting of Myerson, but under the assumption that the buyers' values for the item are distributed over finite supports. Using strong LP duality and polyhedral theory, we rederive various key results…

Computer Science and Game Theory · Computer Science 2025-01-27 Yiannis Giannakopoulos , Johannes Hahn

We study multidimensional mechanism design in a common scenario where players have private information about their willingness to pay and their ability to pay. We provide a complete characterization of dominant-strategy incentive-compatible…

Computer Science and Game Theory · Computer Science 2014-05-01 Ahuva Mualem

The auction of a single indivisible item is one of the most celebrated problems in mechanism design with transfers. Despite its simplicity, it provides arguably the cleanest and most insightful results in the literature. When the…

Computer Science and Game Theory · Computer Science 2023-07-04 Rangeet Bhattacharyya , Parvik Dave , Palash Dey , Swaprava Nath

In mechanism design it is typical to impose incentive compatibility and then derive an optimal mechanism subject to this constraint. By replacing the incentive compatibility requirement with the goal of minimizing expected ex post regret,…

Computer Science and Game Theory · Computer Science 2012-08-07 Paul Duetting , Felix Fischer , Pitchayut Jirapinyo , John K. Lai , Benjamin Lubin , David C. Parkes

We study revenue maximization through sequential posted-price (SPP) mechanisms in single-dimensional settings with $n$ buyers and independent but not necessarily identical value distributions. We construct the SPP mechanisms by considering…

Computer Science and Game Theory · Computer Science 2021-01-11 Hedyeh Beyhaghi , Negin Golrezaei , Renato Paes Leme , Martin Pal , Balasubramanian Sivan

A rapidly growing literature on lying in behavioral economics and psychology shows that individuals often do not lie even when lying maximizes their utility. In this work, we attempt to incorporate these findings into the theory of…

Computer Science and Game Theory · Computer Science 2021-11-23 Shahar Dobzinski , Sigal Oren

In practice, most mechanisms for selling, buying, matching, voting, and so on are not incentive compatible. We present techniques for estimating how far a mechanism is from incentive compatible. Given samples from the agents' type…

Computer Science and Game Theory · Computer Science 2023-12-12 Maria-Florina Balcan , Tuomas Sandholm , Ellen Vitercik

We study the inefficiency of mixed equilibria, expressed as the price of anarchy, of all-pay auctions in three different environments: combinatorial, multi-unit and single-item auctions. First, we consider item-bidding combinatorial…

Computer Science and Game Theory · Computer Science 2015-08-06 George Christodoulou , Alkmini Sgouritsa , Bo Tang

Consider Myerson's optimal auction with respect to an inaccurate prior, e.g., estimated from data, which is an underestimation of the true value distribution. Can the auctioneer expect getting at least the optimal revenue w.r.t. the…

Computer Science and Game Theory · Computer Science 2022-11-10 Ziyun Chen , Zhiyi Huang , Dorsa Majdi , Zipeng Yan

We explore the performance of polynomial-time incentive-compatible mechanisms in single-crossing domains. Single-crossing domains were extensively studied in the economics literature. Roughly speaking, a domain is single crossing if…

Computer Science and Game Theory · Computer Science 2023-05-23 Moshe Babaioff , Shahar Dobzinski , Shiri Ron

We study revenue maximization by deterministic mechanisms for the simplest case for which Myerson's characterization does not hold: a single seller selling two items, with independently distributed values, to a single additive buyer. We…

Computer Science and Game Theory · Computer Science 2018-04-20 Moshe Babaioff , Noam Nisan , Aviad Rubinstein

We show that every universally truthful randomized mechanism for combinatorial auctions with submodular valuations that provides $m^{\frac 1 2 -\epsilon}$ approximation to the social welfare and uses value queries only must use…

Computer Science and Game Theory · Computer Science 2015-03-17 Shahar Dobzinski

When agents with independent priors bid for a single item, Myerson's optimal auction maximizes expected revenue, whereas Vickrey's second-price auction optimizes social welfare. We address the natural question of trade-offs between the two…

Computer Science and Game Theory · Computer Science 2012-05-15 Ilias Diakonikolas , Christos Papadimitriou , George Pierrakos , Yaron Singer

In this paper we show that payment computation essentially does not present any obstacle in designing truthful mechanisms, even for multi-parameter domains, and even when we can only call the allocation rule once. We present a general…

Computer Science and Game Theory · Computer Science 2013-05-14 Moshe Babaioff , Robert Kleinberg , Aleksandrs Slivkins

This paper studies a general class of social choice problems in which agents' payoff functions (or types) are privately observable random variables, and monetary transfers are not available. We consider cardinal social choice functions…

Theoretical Economics · Economics 2024-08-20 Kazuya Kikuchi , Yukio Koriyama

Myerson's seminal characterization of the revenue-optimal auction for a single item \cite{myerson1981optimal} remains a cornerstone of mechanism design. However, generalizing this framework to multi-item settings has proven exceptionally…

Computer Science and Game Theory · Computer Science 2025-10-08 Marios Mertzanidis , Athina Terzoglou

This paper reexamines the classic problem of revenue maximization in single-item auctions with $n$ buyers under the lens of the robust optimization framework. The celebrated Myerson's mechanism is the format that maximizes the seller's…

Computer Science and Game Theory · Computer Science 2024-09-16 Nick Gravin , Zhiqi Wang

Strategyproofness in network auctions requires that bidders not only report their valuations truthfully, but also do their best to invite neighbours from the social network. In contrast to canonical auctions, where the value-monotone…

Computer Science and Game Theory · Computer Science 2025-07-22 Yuhang Guo , Dong Hao , Bin Li , Mingyu Xiao , Bakh Khoussainov
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