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We construct prior-free auctions with constant-factor approximation guarantees with ordered bidders, in both unlimited and limited supply settings. We compare the expected revenue of our auctions on a bid vector to the monotone price…

Computer Science and Game Theory · Computer Science 2012-12-13 Elias Koutsoupias , Stefano Leonardi , Tim Roughgarden

We study a class of procurement auctions with a budget constraint, where an auctioneer is interested in buying resources or services from a set of agents. Ideally, the auctioneer would like to select a subset of the resources so as to…

Computer Science and Game Theory · Computer Science 2017-10-10 Georgios Amanatidis , Georgios Birmpas , Evangelos Markakis

The goal of an auction is to determine commodity prices such that all participants are perfectly happy. Such a solution is called a competitive equilibrium and does not exist in general. For this reason we are interested in solutions which…

Optimization and Control · Mathematics 2013-09-04 Johannes C. Müller

In electricity markets, customers are increasingly constrained by their budgets. A budget constraint for a user is an upper bound on the price multiplied by the quantity. However, since prices are determined by the market equilibrium, the…

Computer Science and Game Theory · Computer Science 2026-03-24 Lila Perkins , Baosen Zhang

We study the optimal behavior of a bidder in a real-time auction subject to the requirement that a specified collections of heterogeneous items be acquired within given time constraints. The problem facing this bidder is cast as a…

Computational Engineering, Finance, and Science · Computer Science 2021-11-17 Ryan J. Kinnear , Ravi R. Mazumdar , Peter Marbach

The design of revenue-maximizing combinatorial auctions, i.e. multi-item auctions over bundles of goods, is one of the most fundamental problems in computational economics, unsolved even for two bidders and two items for sale. In the…

Machine Learning · Computer Science 2016-06-15 Maria-Florina Balcan , Tuomas Sandholm , Ellen Vitercik

We study a seller who sells a single good to multiple bidders with uncertainty over the joint distribution of bidders' valuations, as well as bidders' higher-order beliefs about their opponents. The seller only knows the (possibly…

Theoretical Economics · Economics 2022-02-16 Ethan Che

We consider descending price auctions for selling $m$ units of a good to unit demand i.i.d. buyers where there is an exogenous bound of $k$ on the number of price levels the auction clock can take. The auctioneer's problem is to choose…

Computer Science and Game Theory · Computer Science 2022-03-04 Saeed Alaei , Ali Makhdoumi , Azarakhsh Malekian , Rad Niazadeh

Previous works suggested the use of Branch and Bound techniques for finding the optimal allocation in (multi-unit) combinatorial auctions. They remarked that Linear Programming could provide a good upper-bound to the optimal allocation, but…

Computer Science and Game Theory · Computer Science 2007-05-23 Rica Gonen , Daniel Lehmann

Internet search companies sell advertisement slots based on users' search queries via an auction. Advertisers have to determine how to place bids on the keywords of their interest in order to maximize their return for a given budget: this…

Data Structures and Algorithms · Computer Science 2007-09-24 S. Muthukrishnan , Martin Pal , Zoya Svitkina

We investigate approximately optimal mechanisms in settings where bidders' utility functions are non-linear; specifically, convex, with respect to payments (such settings arise, for instance, in procurement auctions for energy). We provide…

Computer Science and Game Theory · Computer Science 2017-02-23 Amy Greenwald , Takehiro Oyakawa , Vasilis Syrgkanis

This paper examines knapsack auctions as a method to solve the knapsack problem with incomplete information, where object values are private and sizes are public. We analyze three auction types-uniform price (UP), discriminatory price (DP),…

Computer Science and Game Theory · Computer Science 2024-05-02 Peyman Khezr , Vijay Mohan , Lionel Page

Budgets play a significant role in real-world sequential auction markets such as those implemented by internet companies. To maximize the value provided to auction participants, spending is smoothed across auctions so budgets are used for…

Computer Science and Game Theory · Computer Science 2021-05-11 Vincent Conitzer , Christian Kroer , Eric Sodomka , Nicolas E. Stier-Moses

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

We study revenue maximization in multi-item multi-bidder auctions under the natural item-independence assumption - a classical problem in Multi-Dimensional Bayesian Mechanism Design. One of the biggest challenges in this area is developing…

Computer Science and Game Theory · Computer Science 2022-04-12 Yang Cai , Argyris Oikonomou , Mingfei Zhao

We consider online procurement auctions, where the agents arrive sequentially, in random order, and have private costs for their services. The buyer aims to maximize a monotone submodular value function for the subset of agents whose…

Computer Science and Game Theory · Computer Science 2025-04-15 Andreas Charalampopoulos , Dimitris Fotakis , Panagiotis Patsilinakos , Thanos Tolias

This work presents a descending-price-auction algorithm to obtain the maximum market-clearing price vector (MCP) in unit-demand matching markets with m items by exploiting the combinatorial structure. With a shrewd choice of goods for which…

Computer Science and Game Theory · Computer Science 2017-11-07 Shih-Tang Su , Jacob D. Abernethy , Grant Schoenebeck , Vijay G. Subramanian

A key challenge in combinatorial auctions is designing bid formats that accurately capture agents' preferences while remaining computationally feasible. This is especially true for electricity auctions, where complex preferences complicate…

General Economics · Economics 2025-08-26 Thomas Hübner , Gabriela Hug

We study a novel class of mechanism design problems in which the outcomes are constrained by the payments. This basic class of mechanism design problems captures many common economic situations, and yet it has not been studied, to our…

Computer Science and Game Theory · Computer Science 2013-12-02 Yaron Singer

Advances in computational optimization allow for the organization of large combinatorial markets. We aim for allocations and competitive equilibrium prices, i.e. outcomes that are in the core. The research is motivated by the design of…

Computer Science and Game Theory · Computer Science 2018-07-24 Martin Bichler , Stefan Waldherr