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When faced with the question of how to represent properties in a formal proof system any user has to make design decisions. We have proved three of the theorems from Maskin's 2004 survey article on Auction Theory using the Isabelle/HOL…

Logic in Computer Science · Computer Science 2014-06-04 Marco B. Caminati , Manfred Kerber , Christoph Lange , Colin Rowat

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…

Computer Science and Game Theory · Computer Science 2008-07-09 Gagan Aggarwal , S. Muthukrishnan , David Pal , Martin Pal

Scalable and automatic formal verification for concurrent systems is always demanding. In this paper, we propose a verification framework to support automated compositional reasoning for concurrent programs with shared variables. Our…

Formal Languages and Automata Theory · Computer Science 2018-03-28 Fuyuan Zhang , Yongwang Zhao , David Sanan , Yang Liu , Alwen Tiu , Shang-Wei Lin , Jun Sun

This letter considers the design of an auction mechanism to sell the object of a seller when the buyers quantize their private value estimates regarding the object prior to communicating them to the seller. The designed auction mechanism…

Computer Science and Game Theory · Computer Science 2016-11-03 Nianxia Cao , Swastik Brahma , Pramod K. Varshney

We propose a call-by-value lambda calculus extended with a new construct inspired by abductive inference and motivated by the programming idioms of machine learning. Although syntactically simple the abductive construct has a complex and…

Programming Languages · Computer Science 2017-10-12 Koko Muroya , Steven Cheung , Dan R. Ghica

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

We present a deterministic exploration mechanism for sponsored search auctions, which enables the auctioneer to learn the relevance scores of advertisers, and allows advertisers to estimate the true value of clicks generated at the auction…

Computer Science and Game Theory · Computer Science 2011-11-10 Sudhir Kumar Singh , Vwani P. Roychowdhury , Milan Bradonjić , Behnam A. Rezaei

We investigate revenue guarantees for auction mechanisms in a model where a distribution is specified for each bidder, but only some of the distributions are correct. The subset of bidders whose distribution is correctly specified…

Computer Science and Game Theory · Computer Science 2020-07-22 Makis Arsenis , Odysseas Drosis , Robert Kleinberg

Combinatorial auctions where agents can bid on bundles of items are desirable because they allow the agents to express complementarity and substitutability between the items. However, expressing one's preferences can require bidding on all…

Computer Science and Game Theory · Computer Science 2007-05-23 Benoit Hudson , Tuomas Sandholm

Continuous double auctions are commonly used to match orders at currency, stock, and commodities exchanges. A verified implementation of continuous double auctions is a useful tool for market regulators as they give rise to automated…

Logic in Computer Science · Computer Science 2024-12-12 Mohit Garg , Suneel Sarswat

It is widely believed that computing payments needed to induce truthful bidding is somehow harder than simply computing the allocation. We show that the opposite is true: creating a randomized truthful mechanism is essentially as easy as a…

Computer Science and Game Theory · Computer Science 2015-11-17 Moshe Babaioff , Robert D. Kleinberg , Aleksandrs Slivkins

We introduce a formal framework for analyzing trades in financial markets. These days, all big exchanges use computer algorithms to match buy and sell requests and these algorithms must abide by certain regulatory guidelines. For example,…

Logic in Computer Science · Computer Science 2020-07-22 Suneel Sarswat , Abhishek Kr Singh

The current art in optimal combinatorial auctions is limited to handling the case of single units of multiple items, with each bidder bidding on exactly one bundle (single minded bidders). This paper extends the current art by proposing an…

Computer Science and Game Theory · Computer Science 2010-04-27 Sujit Gujar , Y Narahari

In diffusion auctions, sellers can leverage an underlying social network to broaden participation, thereby increasing their potential revenue. Specifically, sellers can incentivise participants in their auction to diffuse information about…

Computer Science and Game Theory · Computer Science 2025-11-13 Rustam Galimullin , Munyque Mittelmann , Laurent Perrussel

We study the efficiency of simple combinatorial auctions for the allocation of a set of items to a set of agents, with private subadditive valuation functions and budget constraints. The class we consider includes all auctions that allocate…

Computer Science and Game Theory · Computer Science 2020-07-29 Alexandros A. Voudouris

We propose a novel statistical learning method for multi-item auctions that incorporates credible intervals. Our approach employs nonparametric density estimation to estimate credible intervals for bidder types based on historical data. We…

Computer Science and Game Theory · Computer Science 2026-03-10 Jiale Han , Xiaowu Dai

Deterministic auctions are attractive in practice due to their transparency, simplicity, and ease of implementation, motivating a sharper understanding of when they can attain the same outcomes as randomized mechanisms. We study…

Computer Science and Game Theory · Computer Science 2025-12-25 Yan Liu , Zeyu Ren , Pingzhong Tang , Zihe Wang , Yulong Zeng , Jie Zhang

Simultaneous ascending auctions present agents with the exposure problem: bidding to acquire a bundle risks the possibility of obtaining an undesired subset of the goods. Auction theory provides little guidance for dealing with this…

Computer Science and Game Theory · Computer Science 2012-07-09 Anna Osepayshvili , Michael P. Wellman , Daniel Reeves , Jeffrey K. MacKie-Mason

Core-selecting combinatorial auctions are popular auction designs that constrain prices to eliminate the incentive for any group of bidders -- with the seller -- to renegotiate for a better deal. They help overcome the low-revenue issues of…

Computer Science and Game Theory · Computer Science 2025-05-21 Siddharth Prasad , Maria-Florina Balcan , Tuomas Sandholm

We present an algorithm for computing pure-strategy epsilon-perfect Bayesian equilibria in sequential auctions with continuous action and value spaces. Importantly, our algorithm includes a verification phase that computes an upper bound on…

Computer Science and Game Theory · Computer Science 2025-02-19 Vinzenz Thoma , Vitor Bosshard , Sven Seuken