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In the private values single object auction model, we construct a satisfactory mechanism - a symmetric, dominant strategy incentive compatible, and budget-balanced mechanism. Our mechanism allocates the object to the highest valued agent…

Computer Science and Game Theory · Computer Science 2016-10-04 Debasis Mishra , Tridib Sharma

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

Sponsored Search Auctions (SSAs) arguably represent the problem at the intersection of computer science and economics with the deepest applications in real life. Within the realm of SSAs, the study of the effects that showing one ad has on…

Computer Science and Game Theory · Computer Science 2016-04-15 Nicola Gatti , Marco Rocco , Paolo Serafino , Carmine Ventre

We cast the problem of combinatorial auction design in a Bayesian framework in order to incorporate prior information into the auction process and minimize the number of rounds to convergence. We first develop a generative model of agent…

Computer Science and Game Theory · Computer Science 2018-11-19 Gianluca Brero , Sébastien Lahaie

Recent advances in Fourier analysis have brought new tools to efficiently represent and learn set functions. In this paper, we bring the power of Fourier analysis to the design of combinatorial auctions (CAs). The key idea is to approximate…

Computer Science and Game Theory · Computer Science 2023-03-14 Jakob Weissteiner , Chris Wendler , Sven Seuken , Ben Lubin , Markus Püschel

We provide a Polynomial Time Approximation Scheme (PTAS) for the Bayesian optimal multi-item multi-bidder auction problem under two conditions. First, bidders are independent, have additive valuations and are from the same population.…

Computer Science and Game Theory · Computer Science 2012-11-06 Yang Cai , Zhiyi Huang

In the combinatorial action model of contract design, a principal delegates a complex project to an agent, incentivizing a subset of actions from a ground set of $n$ actions, via a linear contract. Computing the optimal contract is a…

Computer Science and Game Theory · Computer Science 2026-04-17 Elizabeth Baldwin , Paul Duetting , Michal Feldman , Maya Schlesinger

We consider the problem of an auctioneer who faces the task of selling a good (drawn from a known distribution) to a set of buyers, when the auctioneer does not have the capacity to describe to the buyers the exact identity of the good that…

Computer Science and Game Theory · Computer Science 2014-01-08 Shaddin Dughmi , Nicole Immorlica , Aaron Roth

In the combinatorial-action contract model (D\"utting et al., FOCS'21) a principal delegates the execution of a complex project to an agent, who can choose any subset from a given set of actions. Each set of actions incurs a cost to the…

Computer Science and Game Theory · Computer Science 2025-11-27 Paul Dütting , Michal Feldman , Yoav Gal-Tzur , Aviad Rubinstein

We study a general online combinatorial auction problem in algorithmic mechanism design. A provider allocates multiple types of capacity-limited resources to customers that arrive in a sequential and arbitrary manner. Each customer has a…

Computer Science and Game Theory · Computer Science 2023-10-10 Xiaoqi Tan , Alberto Leon-Garcia , Yuan Wu , Danny H. K. Tsang

We study the inefficiency of mixed equilibria, expressed as the price of anarchy, of all-pay auctions in three different environments: combinatorial, multi-unit and single-item auctions. First, we consider item-bidding combinatorial…

Computer Science and Game Theory · Computer Science 2015-08-06 George Christodoulou , Alkmini Sgouritsa , Bo Tang

We study a class of manipulations in combinatorial auctions where bidders fundamentally misrepresent what goods they are interested in. Prior work has largely assumed that bidders only submit bids on their bundles of interest, which we call…

Computer Science and Game Theory · Computer Science 2021-09-13 Vitor Bosshard , Sven Seuken

The market economy deals with many interacting agents such as buyers and sellers who are autonomous intelligent agents pursuing their own interests. One such multi-agent system (MAS) that plays an important role in auctions is the…

Computer Science and Game Theory · Computer Science 2010-05-30 Sumanth Sudeendra , Megha Saini , Shrisha Rao

Since the 1990s spectrum auctions have been implemented world-wide. This has provided for a practical examination of an assortment of auction mechanisms and, amongst these, two simultaneous ascending price auctions have proved to be…

Computer Science and Game Theory · Computer Science 2015-07-24 Nicolas Bousquet , Yang Cai , Christoph Hunkenschröder , Adrian Vetta

We characterise the set of dominant strategy incentive compatible (DSIC), strongly budget balanced (SBB), and ex-post individually rational (IR) mechanisms for the multi-unit bilateral trade setting. In such a setting there is a single…

Computer Science and Game Theory · Computer Science 2018-11-14 Matthias Gerstgrasser , Paul W. Goldberg , Bart de Keijzer , Philip Lazos , Alexander Skopalik

Assortment optimization refers to the problem of designing a slate of products to offer potential customers, such as stocking the shelves in a convenience store. The price of each product is fixed in advance, and a probabilistic choice…

Computer Science and Game Theory · Computer Science 2017-11-09 Nicole Immorlica , Brendan Lucier , Jieming Mao , Vasilis Syrgkanis , Christos Tzamos

We consider the sample complexity of revenue maximization for multiple bidders in unrestricted multi-dimensional settings. Specifically, we study the standard model of $n$ additive bidders whose values for $m$ heterogeneous items are drawn…

Computer Science and Game Theory · Computer Science 2021-04-13 Yannai A. Gonczarowski , S. Matthew Weinberg

The focus of classic mechanism design has been on truthful direct-revelation mechanisms. In the context of combinatorial auctions the truthful direct-revelation mechanism that maximizes social welfare is the VCG mechanism. For many…

Computer Science and Game Theory · Computer Science 2013-10-14 Paul Duetting , Monika Henzinger , Martin Starnberger

We present a new approach to machine learning-powered combinatorial auctions, which is based on the principles of Differential Privacy. Our methodology guarantees that the auction mechanism is truthful, meaning that rational bidders have…

Computer Science and Game Theory · Computer Science 2024-05-20 Arash Jamshidi , Seyed Mohammad Hosseini , Seyed Mahdi Noormousavi , Mahdi Jafari Siavoshani

We present a new type of monotone submodular functions: \emph{multi-peak submodular functions}. Roughly speaking, given a family of sets $\cF$, we construct a monotone submodular function $f$ with a high value $f(S)$ for every set $S \in…

Data Structures and Algorithms · Computer Science 2015-03-20 Shahar Dobzinski , Jan Vondrak
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