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We use valid inequalities (cuts) of the binary integer program for winner determination in a combinatorial auction (CA) as "artificial items" that can be interpreted intuitively and priced to generate Artificial Walrasian Equilibria. We…

Theoretical Economics · Economics 2026-03-20 Robert Day , Benjamin Lubin

We consider a finite horizon repeated game with $N$ selfish players who observe their types privately and take actions, which are publicly observed. Their actions and types jointly determine their instantaneous rewards. In each period,…

Computer Science and Game Theory · Computer Science 2019-05-17 Deepanshu Vasal

We study the design of mechanisms in combinatorial auction domains. We focus on settings where the auction is repeated, motivated by auctions for licenses or advertising space. We consider models of agent behaviour in which they either…

Computer Science and Game Theory · Computer Science 2009-10-01 Brendan Lucier

Escalation is a typical feature of infinite games. Therefore tools conceived for studying infinite mathematical structures, namely those deriving from coinduction are essential. Here we use coinduction, or backward coinduction (to show its…

Computer Science and Game Theory · Computer Science 2010-04-30 Pierre Lescanne , Perrinel Matthieu

Escalation is a typical feature of infinite games. Therefore tools conceived for studying infinite mathematical structures, namely those deriving from coinduction are essential. Here we use coinduction, or backward coinduction (to show its…

Computer Science and Game Theory · Computer Science 2011-12-16 Pierre Lescanne , Perrinel Matthieu

The study of repeated interactions between a learner and a utility-maximizing optimizer has yielded deep insights into the manipulability of learning algorithms. However, existing literature primarily focuses on independent, unlinked…

Computer Science and Game Theory · Computer Science 2026-04-10 Giannis Fikioris , Balasubramanian Sivan , Éva Tardos

Given a sample of bids from independent auctions, this paper examines the question of inference on auction fundamentals (e.g. valuation distributions, welfare measures) under weak assumptions on information structure. The question is…

Econometrics · Economics 2018-03-20 Vasilis Syrgkanis , Elie Tamer , Juba Ziani

We revisit the foundations of fairness and its interplay with utility and efficiency in settings where the training data contain richer labels, such as individual types, rankings, or risk estimates, rather than just binary outcomes. In this…

Machine Learning · Computer Science 2025-05-23 Noga Amit , Omer Reingold , Guy N. Rothblum

We describe an algorithm for computing best response strategies in a class of two-player infinite games of incomplete information, defined by payoffs piecewise linear in agents' types and actions, conditional on linear comparisons of…

Computer Science and Game Theory · Computer Science 2012-07-19 Daniel Reeves , Michael P. Wellman

We consider repeated multi-unit auctions with uniform pricing, which are widely used in practice for allocating goods such as carbon licenses. In each round, $K$ identical units of a good are sold to a group of buyers that have valuations…

Computer Science and Game Theory · Computer Science 2024-01-17 Simina Brânzei , Mahsa Derakhshan , Negin Golrezaei , Yanjun Han

Inspired by Internet ad auction applications, we study the problem of allocating a single item via an auction when bidders place very different values on the item. We formulate this as the problem of prior-free auction and focus on…

Computer Science and Game Theory · Computer Science 2009-09-30 Vahab Mirrokni , S. Muthukrishnan , Uri Nadav

In this work, we study Bayesian quantum parameter estimation given a finite number of uses of the process encoding one or more unknown physical quantities. For multiple uses, it is conventional to classify quantum metrological protocols as…

Quantum Physics · Physics 2026-02-11 Erik L. André , Jessica Bavaresco , Mohammad Mehboudi

Bayesian optimization (BO) is a widely used iterative algorithm for optimizing black-box functions. Each iteration requires maximizing an acquisition function, such as the upper confidence bound (UCB) or a sample path from the Gaussian…

Machine Learning · Statistics 2025-06-16 Hwanwoo Kim , Chong Liu , Yuxin Chen

Game-theoretic techniques and equilibria analysis facilitate the design and verification of competitive systems. While algorithmic complexity of equilibria computation has been extensively studied, practical implementation and application…

Computer Science and Game Theory · Computer Science 2022-02-02 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos

Motivated by Carbon Emissions Trading Schemes, Treasury Auctions, Procurement Auctions, and Wholesale Electricity Markets, which all involve the auctioning of homogeneous multiple units, we consider the problem of learning how to bid in…

Computer Science and Game Theory · Computer Science 2024-11-12 Rigel Galgana , Negin Golrezaei

We study revenue optimization pricing algorithms for repeated posted-price auctions where a seller interacts with a single strategic buyer that holds a fixed private valuation. We show that, in the case when both the seller and the buyer…

Computer Science and Game Theory · Computer Science 2018-05-08 Arsenii Vanunts , Alexey Drutsa

We study an abstract optimal auction problem for a single good or service. This problem includes environments where agents have budgets, risk preferences, or multi-dimensional preferences over several possible configurations of the good…

Computer Science and Game Theory · Computer Science 2012-03-23 Saeed Alaei , Hu Fu , Nima Haghpanah , Jason Hartline , Azarakhsh Malekian

We study the efficiency of simple combinatorial auctions for the allocation of a set of items to a set of agents, with private subadditive valuation functions and budget constraints. The class we consider includes all auctions that allocate…

Computer Science and Game Theory · Computer Science 2020-07-29 Alexandros A. Voudouris

In this paper, we present exploitability descent, a new algorithm to compute approximate equilibria in two-player zero-sum extensive-form games with imperfect information, by direct policy optimization against worst-case opponents. We prove…

Artificial Intelligence · Computer Science 2020-06-15 Edward Lockhart , Marc Lanctot , Julien Pérolat , Jean-Baptiste Lespiau , Dustin Morrill , Finbarr Timbers , Karl Tuyls

Designing an incentive compatible auction that maximizes expected revenue is an intricate task. The single-item case was resolved in a seminal piece of work by Myerson in 1981, but more than 40 years later a full analytical understanding of…

Computer Science and Game Theory · Computer Science 2022-10-17 Paul Dütting , Zhe Feng , Harikrishna Narasimhan , David C. Parkes , Sai Srivatsa Ravindranath
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