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We study the power of price discrimination via an intermediary in bilateral trade, when there is a revenue-maximizing seller selling an item to a buyer with a private value drawn from a prior. Between the seller and the buyer, there is an…

Computer Science and Game Theory · Computer Science 2023-04-28 Shao-Heng Ko , Kamesh Munagala

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 approximation algorithms for graph pricing with vertex capacities yet without the traditional envy-free constraint. Specifically, we have a set of items $V$ and a set of customers $X$ where each customer $i \in X$ has a budget…

Data Structures and Algorithms · Computer Science 2019-12-12 Zachary Friggstad , Maryam Mahboub

Numerous recent papers have studied the tension between thickening and clearing a market in (uncertain, online) long-time horizon Markovian settings. In particular, (Aouad and Sarita{\c{c}} EC'20, Collina et al. WINE'20, Kessel et al.…

Computer Science and Game Theory · Computer Science 2024-01-23 Neel Patel , David Wajc

Given a sequence of samples $x_1, \dots , x_k$ promised to be drawn from one of two distributions $X_0, X_1$, a well-studied problem in statistics is to decide $\textit{which}$ distribution the samples are from. Information theoretically,…

Cryptography and Security · Computer Science 2025-10-29 Cassandra Marcussen , Aaron Putterman , Salil Vadhan

Free order prophet inequalities bound the ratio between the expected value obtained by two parties each selecting a value from a set of independent random variables: a "prophet" who knows the value of each variable and may select the…

Data Structures and Algorithms · Computer Science 2020-10-20 Makis Arsenis , Odysseas Drosis , Robert Kleinberg

We show that the Revenue-Optimal Deterministic Mechanism Design problem for a single additive buyer is #P-hard, even when the distributions have support size 2 for each item and, more importantly, even when the optimal solution is…

Computer Science and Game Theory · Computer Science 2017-07-17 Xi Chen , George Matikas , Dimitris Paparas , Mihalis Yannakakis

A striking result of [Acharya et al. 2017] showed that to estimate symmetric properties of discrete distributions, plugging in the distribution that maximizes the likelihood of observed multiset of frequencies, also known as the profile…

Statistics Theory · Mathematics 2020-11-03 Yanjun Han , Kirankumar Shiragur

We study the prophet secretary problem, a well-studied variant of the classic prophet inequality, where values are drawn from independent known distributions but arrive in uniformly random order. Upon seeing a value at each step, the…

Computer Science and Game Theory · Computer Science 2023-05-19 Paul Dütting , Evangelia Gergatsouli , Rojin Rezvan , Yifeng Teng , Alexandros Tsigonias-Dimitriadis

We give a general unified method that can be used for $L_1$ {\em closeness testing} of a wide range of univariate structured distribution families. More specifically, we design a sample optimal and computationally efficient algorithm for…

Data Structures and Algorithms · Computer Science 2015-08-25 Ilias Diakonikolas , Daniel M. Kane , Vladimir Nikishkin

We study the optimal pricing strategies of a monopolist selling a divisible good (service) to consumers that are embedded in a social network. A key feature of our model is that consumers experience a (positive) local network effect. In…

Computer Science and Game Theory · Computer Science 2011-01-31 Ozan Candogan , Kostas Bimpikis , Asuman Ozdaglar

We study the problem of a seller dynamically pricing $d$ distinct types of indivisible goods, when faced with the online arrival of unit-demand buyers drawn independently from an unknown distribution. The goods are not in limited supply,…

Data Structures and Algorithms · Computer Science 2017-06-13 Aaron Roth , Aleksandrs Slivkins , Jonathan Ullman , Zhiwei Steven Wu

We resolve the complexity of revenue-optimal deterministic auctions in the unit-demand single-buyer Bayesian setting, i.e., the optimal item pricing problem, when the buyer's values for the items are independent. We show that the problem of…

Computer Science and Game Theory · Computer Science 2017-02-24 Xi Chen , Ilias Diakonikolas , Dimitris Paparas , Xiaorui Sun , Mihalis Yannakakis

We study the polynomial-time approximability of the optimal online stochastic bipartite matching algorithm, initiated by Papadimitriou et al. (EC'21). Here, nodes on one side of the graph are given upfront, while at each time $t$, an online…

Data Structures and Algorithms · Computer Science 2024-07-23 Mark Braverman , Mahsa Derakhshan , Tristan Pollner , Amin Saberi , David Wajc

This paper considers prior-independent mechanism design, in which a single mechanism is designed to achieve approximately optimal performance on every prior distribution from a given class. Most results in this literature focus on…

Computer Science and Game Theory · Computer Science 2021-03-01 Yiding Feng , Jason D. Hartline , Yingkai Li

In online combinatorial allocations/auctions, n bidders sequentially arrive, each with a combinatorial valuation (such as submodular/XOS) over subsets of m indivisible items. The aim is to immediately allocate a subset of the remaining…

Computer Science and Game Theory · Computer Science 2024-09-18 Paul Dütting , Thomas Kesselheim , Brendan Lucier , Rebecca Reiffenhäuser , Sahil Singla

In many first-price auctions, bidders face considerable strategic uncertainty: They cannot perfectly anticipate the other bidders' bidding behavior. We propose a model in which bidders do not know the entire distribution of opponent bids…

Theoretical Economics · Economics 2022-03-30 Bernhard Kasberger

Independent samples from an unknown probability distribution $\bf p$ on a domain of size $k$ are distributed across $n$ players, with each player holding one sample. Each player can communicate $\ell$ bits to a central referee in a…

Data Structures and Algorithms · Computer Science 2019-05-24 Jayadev Acharya , Clément L. Canonne , Himanshu Tyagi

We study approximation algorithms for revenue maximization based on static item pricing, where a seller chooses prices for various goods in the market, and then the buyers purchase utility-maximizing bundles at these given prices. We…

Computer Science and Game Theory · Computer Science 2017-05-03 Elliot Anshelevich , Shreyas Sekar

We study a new model of complementary valuations, which we call "proportional complementarities." In contrast to common models, such as hypergraphic valuations, in our model, we do not assume that the extra value derived from owning a set…

Computer Science and Game Theory · Computer Science 2019-09-04 Yang Cai , Nikhil R. Devanur , Kira Goldner , R. Preston McAfee
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