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Two general algorithms based on opportunity costs are given for approximating a revenue-maximizing set of bids an auctioneer should accept, in a combinatorial auction in which each bidder offers a price for some subset of the available…

计算工程、金融与科学 · 计算机科学 2007-05-23 Karhan Akcoglu , James Aspnes , Bhaskar DasGupta , Ming-Yang Kao

We study truthful mechanisms for matching and related problems in a partial information setting, where the agents' true utilities are hidden, and the algorithm only has access to ordinal preference information. Our model is motivated by the…

计算机科学与博弈论 · 计算机科学 2016-10-20 Elliot Anshelevich , Shreyas Sekar

We study the problem of finding personalized reserve prices for unit-demand buyers in multi-unit eager VCG auctions with correlated buyers. The input to this problem is a dataset of submitted bids of $n$ buyers in a set of auctions. The…

计算机科学与博弈论 · 计算机科学 2020-07-27 Mahsa Derakhshan , David M. Pennock , Aleksandrs Slivkins

The design of the best economic mechanism for Sponsored Search Auctions (SSAs) is a central task in computational mechanism design/game theory. Two open questions concern the adoption of user models more accurate than that one currently…

计算机科学与博弈论 · 计算机科学 2015-11-24 Gabriele Farina , Nicola Gatti

Using mechanised reasoning we prove that combinatorial Vickrey auctions are soundly specified in that they associate a unique outcome (allocation and transfers) to any valid input (bids). Having done so, we auto-generate verified executable…

计算机科学与博弈论 · 计算机科学 2013-09-03 Marco B. Caminati , Manfred Kerber , Christoph Lange , Colin Rowat

The Vickrey-Clarke-Groves (VCG) mechanism is infamously revenue non-monotone in combinatorial auctions. I.e., when a buyer increases their value for a bundle of items, the total auction revenue may decrease. Combinatorial auctions exhibit…

理论经济学 · 经济学 2026-02-25 Jason Hartline

This paper studies equilibrium quality of semi-separable position auctions (known as the Ad Types setting) with greedy or optimal allocation combined with generalized second-price (GSP) or Vickrey-Clarke-Groves (VCG) pricing. We make three…

计算机科学与博弈论 · 计算机科学 2021-03-11 Hadi Elzayn , Riccardo Colini-Baldeschi , Brian Lan , Okke Schrijvers

In sponsored search, a number of advertising slots is available on a search results page, and have to be allocated among a set of advertisers competing to display an ad on the page. This gives rise to a bipartite matching market that is…

计算机科学与博弈论 · 计算机科学 2008-07-09 Gagan Aggarwal , S. Muthukrishnan , David Pal , Martin Pal

The Combinatorial Multi-Round Ascending Auction (CMRA) is a new auction format used in recent European spectrum auctions. We show that an auction-specific version of truthful bidding leads to an efficient allocation. We then characterize…

理论经济学 · 经济学 2025-10-23 Bernhard Kasberger , Alexander Teytelboym

Combinatorial auctions are used to allocate resources in domains where bidders have complex preferences over bundles of goods. However, the behavior of bidders under different payment rules is not well understood, and there has been limited…

计算机科学与博弈论 · 计算机科学 2022-06-09 Vitor Bosshard , Ye Wang , Sven Seuken

We study \emph{combinatorial procurement auctions}, where a buyer with a valuation function $v$ and budget $B$ wishes to buy a set of items. Each item $i$ has a cost $c_i$ and the buyer is interested in a set $S$ that maximizes $v(S)$…

计算机科学与博弈论 · 计算机科学 2015-03-19 Ashwinkumar Badanidiyuru , Shahar Dobzinski , Sigal Oren

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…

计算机科学与博弈论 · 计算机科学 2024-05-20 Arash Jamshidi , Seyed Mohammad Hosseini , Seyed Mahdi Noormousavi , Mahdi Jafari Siavoshani

We explore the approximation power of deterministic obviously strategy-proof mechanisms in auctions, where the objective is welfare maximization. A trivial ascending auction on the grand bundle guarantees an approximation of $\min\{m,n\}$…

计算机科学与博弈论 · 计算机科学 2023-11-07 Shiri Ron

We consider auctions in which the players have very limited knowledge about their own valuations. Specifically, the only information that a Knightian player $i$ has about the profile of true valuations, $\theta^*$, consists of a set of…

计算机科学与博弈论 · 计算机科学 2014-03-26 Alessandro Chiesa , Silvio Micali , Zeyuan Allen Zhu

This survey outlines a general and modular theory for proving approximation guarantees for equilibria of auctions in complex settings. This theory complements traditional economic techniques, which generally focus on exact and optimal…

计算机科学与博弈论 · 计算机科学 2016-07-27 Tim Roughgarden , Vasilis Syrgkanis , Eva Tardos

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…

计算机科学与博弈论 · 计算机科学 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),…

计算机科学与博弈论 · 计算机科学 2024-05-02 Peyman Khezr , Vijay Mohan , Lionel Page

One of the Multi-Agent Systems that is widely used by various government agencies, buyers and sellers in a market economy, in such a manner so as to attain optimized resource allocation, is the Combinatorial Auctioning System (CAS). We…

计算机科学与博弈论 · 计算机科学 2010-05-30 Megha Saini , Shrisha Rao

We design an expected polynomial-time, truthful-in-expectation, (1-1/e)-approximation mechanism for welfare maximization in a fundamental class of combinatorial auctions. Our results apply to bidders with valuations that are m matroid rank…

计算机科学与博弈论 · 计算机科学 2011-04-19 Shaddin Dughmi , Tim Roughgarden , Qiqi Yan

We propose a truthful-in-expectation, $(1-1/e)$-approximation mechanism for a strategic variant of the generalized assignment problem (GAP). In GAP, a set of items has to be optimally assigned to a set of bins without exceeding the capacity…

计算机科学与博弈论 · 计算机科学 2016-08-17 Salman Fadaei , Martin Bichler