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We study the revenue maximization problem of a seller with n heterogeneous items for sale to a single buyer whose valuation function for sets of items is unknown and drawn from some distribution D. We show that if D is a distribution over…

计算机科学与博弈论 · 计算机科学 2018-07-05 Aviad Rubinstein , S. Matthew Weinberg

We study a classical Bayesian mechanism design problem where a seller is selling multiple items to multiple buyers. We consider the case where the seller has costs to produce the items, and these costs are private information to the seller.…

计算机科学与博弈论 · 计算机科学 2020-04-20 Yang Cai , Mingfei Zhao

We study the problem of selling $n$ items to a single buyer with an additive valuation function. We consider the valuation of the items to be correlated, i.e., desirabilities of the buyer for the items are not drawn independently. Ideally,…

计算机科学与博弈论 · 计算机科学 2015-07-23 MohammadHossein Bateni , Sina Dehghani , MohammadTaghi Hajiaghayi , Saeed Seddighin

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

A sequence of recent studies show that even in the simple setting of a single seller and a single buyer with additive, independent valuations over $m$ items, the revenue-maximizing mechanism is prohibitively complex. This problem has been…

计算机科学与博弈论 · 计算机科学 2018-01-10 Michal Feldman , Ophir Friedler , Aviad Rubinstein

We consider a revenue-maximizing seller with $m$ heterogeneous items and a single buyer whose valuation $v$ for the items may exhibit both substitutes (i.e., for some $S, T$, $v(S \cup T) < v(S) + v(T)$) and complements (i.e., for some $S,…

计算机科学与博弈论 · 计算机科学 2017-04-11 Alon Eden , Michal Feldman , Ophir Friedler , Inbal Talgam-Cohen , S. Matthew Weinberg

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

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

We consider a monopolist seller facing a single buyer with additive valuations over n heterogeneous, independent items. It is known that in this important setting optimal mechanisms may require randomization [HR12], use menus of infinite…

计算机科学与博弈论 · 计算机科学 2015-11-17 Aviad Rubinstein

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

Two sellers compete to sell identical products to a single buyer. Each seller chooses an arbitrary mechanism, possibly involving lotteries, to sell their product. The utility-maximizing buyer can choose to participate in one or both…

计算机科学与博弈论 · 计算机科学 2025-05-27 Brendan Lucier , Raghuvansh R. Saxena

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…

计算机科学与博弈论 · 计算机科学 2017-07-17 Xi Chen , George Matikas , Dimitris Paparas , Mihalis Yannakakis

We consider a robust version of the revenue maximization problem, where a single seller wishes to sell $n$ items to a single unit-demand buyer. In this robust version, the seller knows the buyer's marginal value distribution for each item…

计算机科学与博弈论 · 计算机科学 2020-08-27 Moshe Babaioff , Michal Feldman , Yannai A. Gonczarowski , Brendan Lucier , Inbal Talgam-Cohen

We consider the revenue maximization problem with sharp multi-demand, in which $m$ indivisible items have to be sold to $n$ potential buyers. Each buyer $i$ is interested in getting exactly $d_i$ items, and each item $j$ gives a benefit…

计算机科学与博弈论 · 计算机科学 2013-12-16 Vittorio Bilò , Michele Flammini , Gianpiero Monaco

We consider the problem of maximizing revenue for a monopolist offering multiple items to multiple heterogeneous buyers. We develop a simple mechanism that obtains a constant factor approximation under the assumption that the buyers' values…

计算机科学与博弈论 · 计算机科学 2016-08-10 Shuchi Chawla , J. Benjamin Miller

We consider the design of a revenue-optimal mechanism when two items are available to be sold to a single buyer whose valuation is uniformly distributed over an arbitrary rectangle $[c_1,c_1+b_1]\times[c_2,c_2+b_2]$ in the positive…

计算机科学与博弈论 · 计算机科学 2019-03-06 D. Thirumulanathan , Rajesh Sundaresan , Y Narahari

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…

计算机科学与博弈论 · 计算机科学 2018-04-20 Moshe Babaioff , Noam Nisan , Aviad Rubinstein

A seller is selling a pair of divisible complementary goods to an agent. The agent consumes the goods only in a specific ratio and freely disposes of excess in either goods. The value of the bundle and the ratio are private information of…

理论经济学 · 经济学 2022-07-15 Komal Malik , Kolagani Paramahamsa

Multi-item revenue-optimal mechanisms are known to be extremely complex, often offering buyers randomized lotteries of goods. In the standard buy-one model, it is known that optimal mechanisms can yield revenue infinitely higher than that…

计算机科学与博弈论 · 计算机科学 2022-11-22 Sepehr Assadi , Vikram Kher , George Li , Ariel Schvartzman

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
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