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We efficiently solve the optimal multi-dimensional mechanism design problem for independent bidders with arbitrary demand constraints when either the number of bidders is a constant or the number of items is a constant. In the first…

计算机科学与博弈论 · 计算机科学 2011-12-20 Constantinos Daskalakis , S. Matthew Weinberg

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…

计算机科学与博弈论 · 计算机科学 2014-05-01 Ahuva Mualem

It is well-known that optimal (i.e., revenue-maximizing) selling mechanisms in multidimensional type spaces may involve randomization. We obtain conditions under which deterministic mechanisms are optimal for selling two identical,…

理论经济学 · 经济学 2022-02-22 Sushil Bikhchandani , Debasis Mishra

We study multi-product monopoly pricing where the seller jointly designs the selling mechanism and the information structure for the buyer to learn his values. Unlike the case with exogenous information, we show that when the seller…

计算机科学与博弈论 · 计算机科学 2025-10-29 Yang Cai , Yingkai Li , Jinzhao Wu

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

We study the multi-item mechanism design problem where a monopolist sells $n$ heterogeneous items to a single buyer. We focus on buy-many mechanisms, a natural class of mechanisms frequently used in practice. The buy-many property allows…

计算机科学与博弈论 · 计算机科学 2020-03-25 Shuchi Chawla , Yifeng Teng , Christos Tzamos

A recent line of research has established a novel desideratum for designing approximately-revenue-optimal multi-item mechanisms, namely the buy-many constraint. Under this constraint, prices for different allocations made by the mechanism…

计算机科学与博弈论 · 计算机科学 2024-05-17 Shuchi Chawla , Rojin Rezvan , Yifeng Teng , Christos Tzamos

We study individual rational, Pareto optimal, and incentive compatible mechanisms for auctions with heterogeneous items and budget limits. For multi-dimensional valuations we show that there can be no deterministic mechanism with these…

计算机科学与博弈论 · 计算机科学 2012-10-01 Paul Duetting , Monika Henzinger , Martin Starnberger

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 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

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 study the design of prior-independent auctions in a setting with heterogeneous bidders. In particular, we consider the setting of selling to $n$ bidders whose values are drawn from $n$ independent but not necessarily identical…

计算机科学与博弈论 · 计算机科学 2023-11-08 Guru Guruganesh , Aranyak Mehta , Di Wang , Kangning Wang

Randomized mechanisms, which map a set of bids to a probability distribution over outcomes rather than a single outcome, are an important but ill-understood area of computational mechanism design. We investigate the role of randomized…

计算机科学与博弈论 · 计算机科学 2009-04-17 Patrick Briest , Shuchi Chawla , Robert Kleinberg , S. Matthew Weinberg

A monopolistic seller aims to sell an indivisible item to multiple potential buyers. Each buyer's valuation depends on their private type and the item's quality. The seller can observe the quality but it is unknown to buyers. This quality…

计算机科学与博弈论 · 计算机科学 2024-11-13 Zhikang Fan , Weiran Shen

We consider revenue-optimal mechanism design in the interdimensional setting, where one dimension is the 'value' of the buyer, and one is a 'type' that captures some auxiliary information. One setting is the FedEx Problem, for which FGKK…

计算机科学与博弈论 · 计算机科学 2020-02-18 Nikhil Devanur , Kira Goldner , Raghuvansh Saxena , Ariel Schvartzman , S. Matthew Weinberg

We introduce a dynamic mechanism design problem in which the designer wants to offer for sale an item to an agent, and another item to the same agent at some point in the future. The agent's joint distribution of valuations for the two…

计算机科学与博弈论 · 计算机科学 2023-05-22 Christos Papadimitriou , George Pierrakos , Christos-Alexandros Psomas , Aviad Rubinstein

Multi-item mechanisms can be very complex offering many different bundles to the buyer that could even be randomized. Such complexity is thought to be necessary as the revenue gaps between randomized and deterministic mechanisms, or…

计算机科学与博弈论 · 计算机科学 2019-07-03 Shuchi Chawla , Yifeng Teng , Christos Tzamos

We provide a characterization of revenue-optimal dynamic mechanisms in settings where a monopolist sells k items over k periods to a buyer who realizes his value for item i in the beginning of period i. We require that the mechanism…

计算机科学与博弈论 · 计算机科学 2016-07-06 Itai Ashlagi , Constantinos Daskalakis , Nima Haghpanah

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

In this paper, we introduce a Bayesian revenue-maximizing mechanism design model where the items have fixed, exogenously-given prices. Buyers are unit-demand and have an ordinal ranking over purchasing either one of these items at its given…

计算机科学与博弈论 · 计算机科学 2020-10-16 Will Ma
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