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Using duality theory techniques we derive simple, closed-form formulas for bounding the optimal revenue of a monopolist selling many heterogeneous goods, in the case where the buyer's valuations for the items come i.i.d. from a uniform…

计算机科学与博弈论 · 计算机科学 2015-10-14 Yiannis Giannakopoulos

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…

计算机科学与博弈论 · 计算机科学 2018-05-08 Arsenii Vanunts , Alexey Drutsa

We consider the problem of maximizing revenue when selling 2 items to a single buyer with known valuation distributions. Hart and Nisan showed that selling each item separately using the optimal Myerson's price, gains at least half of the…

计算机科学与博弈论 · 计算机科学 2017-12-12 Ron Kupfer

With the increasing use of auctions in online advertising, there has been a large effort to study seller revenue maximization, following Myerson's seminal work, both theoretically and practically. We take the point of view of the buyer in…

计算机科学与博弈论 · 计算机科学 2019-03-27 Marc Abeille , Clément Calauzènes , Noureddine El Karoui , Thomas Nedelec , Vianney Perchet

Product bundling is a common selling mechanism used in online retailing. To set profitable bundle prices, the seller needs to learn consumer preferences from the transaction data. When customers purchase bundles or multiple products,…

机器学习 · 统计学 2022-09-13 Ningyuan Chen , Setareh Farajollahzadeh , Guan Wang

We consider a monopolist seller with $n$ heterogeneous items, facing a single buyer. The buyer has a value for each item drawn independently according to (non-identical) distributions, and her value for a set of items is additive. The…

计算机科学与博弈论 · 计算机科学 2020-08-03 Moshe Babaioff , Nicole Immorlica , Brendan Lucier , S. Matthew Weinberg

A special case of Myerson's classic result describes the revenue-optimal equilibrium when a seller offers a single item to a buyer. We study a repeated sales extension of this model: a seller offers to sell a single fresh copy of an item to…

计算机科学与博弈论 · 计算机科学 2019-03-12 Nikhil R. Devanur , Yuval Peres , Balasubramanian Sivan

When selling many goods with independent valuations, we develop a distributionally robust framework, consisting of a two-player game between seller and nature. The seller has only limited knowledge about the value distribution. The seller…

计算机科学与博弈论 · 计算机科学 2026-03-30 Tim S. G. van Eck , Pieter Kleer , Johan S. H. van Leeuwaarden

A multi-product monopolist faces a buyer who is privately informed about his valuations for the goods. As is well-known, optimal mechanisms are in general complicated, while simple mechanisms -- such as pure bundling or separate sales --…

理论经济学 · 经济学 2025-09-03 Mira Frick , Ryota Iijima , Yuhta Ishii

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…

计算机科学与博弈论 · 计算机科学 2025-10-08 Marios Mertzanidis , Athina Terzoglou

A monopolist seller of multiple goods screens a buyer whose type is initially unknown to both but drawn from a commonly known distribution. The buyer privately learns about his type via a signal. We derive the seller's optimal mechanism in…

理论经济学 · 经济学 2021-05-27 Rahul Deb , Anne-Katrin Roesler

Maximizing the revenue from selling _more than one_ good (or item) to a single buyer is a notoriously difficult problem, in stark contrast to the one-good case. For two goods, we show that simple "one-dimensional" mechanisms, such as…

计算机科学与博弈论 · 计算机科学 2022-09-22 Sergiu Hart , Noam Nisan

One of the most celebrated results in mechanism design is Myerson's characterization of the revenue optimal auction for selling a single item. However, this result relies heavily on the assumption that buyers are indifferent to risk. In…

计算机科学与博弈论 · 计算机科学 2018-10-08 Evdokia Nikolova , Emmanouil Pountourakis , Ger Yang

Combining two or more items and selling them as one good, a practice called bundling, can be a very effective strategy for reducing the costs of producing, marketing, and selling goods. In this paper, we consider a form of multi-issue…

多智能体系统 · 计算机科学 2007-05-23 Koye Somefun , Tomas Klos , Han La Poutré

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…

计算机科学与博弈论 · 计算机科学 2022-07-22 Yaonan Jin , Shunhua Jiang , Pinyan Lu , Hengjie Zhang

We consider the problem of learning from revealed preferences in an online setting. In our framework, each period a consumer buys an optimal bundle of goods from a merchant according to her (linear) utility function and current prices,…

数据结构与算法 · 计算机科学 2014-12-02 Kareem Amin , Rachel Cummings , Lili Dworkin , Michael Kearns , Aaron Roth

We consider the problem of maximizing revenue when selling k items to a single buyer with known valuation distributions. We show that for a single, additive buyer whose valuations for for the items are distributed according to i.i.d.…

计算机科学与博弈论 · 计算机科学 2016-11-30 Ron Kupfer

We consider the problem of a single seller repeatedly selling a single item to a single buyer (specifically, the buyer has a value drawn fresh from known distribution $D$ in every round). Prior work assumes that the buyer is fully rational…

计算机科学与博弈论 · 计算机科学 2017-11-28 Mark Braverman , Jieming Mao , Jon Schneider , S. Matthew Weinberg

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…

计算机科学与博弈论 · 计算机科学 2018-10-09 Yu Cheng , Nick Gravin , Kamesh Munagala , Kangning Wang

It is well-known that selling different goods in a single bundle can significantly increase revenue. However, bundling is no longer profitable if the goods have high production costs. To overcome this challenge, we introduce a new…

计算机科学与博弈论 · 计算机科学 2021-02-23 Will Ma , David Simchi-Levi
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