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We develop a classical propositional logic for reasoning about combinatory logic. We define its syntax, axiomatic system and semantics. The syntax and axiomatic system are presented based on classical propositional logic, with typed…

Logic · Mathematics 2022-12-14 Simona Kašterović , Silvia Ghilezan

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…

Theoretical Economics · Economics 2025-10-23 Bernhard Kasberger , Alexander Teytelboym

The use of function contracts to specify the behavior of functions often remains limited to the scope of a single function call. Relational properties link several function calls together within a single specification. They can express more…

Software Engineering · Computer Science 2022-05-18 Lionel Blatter , Nikolai Kosmatov , Virgile Prevosto , Pascale Le Gall

Traditional combinatorial spectrum auctions mainly rely on fixed bidding and matching processes, which limit participants' ability to adapt their strategies and often result in suboptimal social welfare in dynamic spectrum sharing…

Computer Science and Game Theory · Computer Science 2025-07-29 Xiang Shao , Wei Wang , Guan Gui

We present a number of models for the adword auctions used for pricing advertising slots on search engines such as Google, Yahoo! etc. We begin with a general problem formulation which allows the privately known valuation per click to be a…

Computer Science and Game Theory · Computer Science 2007-05-23 Garud Iyengar , Anuj Kumar

The difference set of an outcome in an auction is the set of types that the auction mechanism maps to the outcome. We give a complete characterization of the geometry of the difference sets that can appear for a dominant strategy incentive…

Computer Science and Game Theory · Computer Science 2022-11-04 Michael Joswig , Max Klimm , Sylvain Spitz

We study the design of truthful auctions for selling identical items in unlimited supply (e.g., digital goods) to n unit demand buyers. This classic problem stands out from profit-maximizing auction design literature as it requires no…

Computer Science and Game Theory · Computer Science 2014-01-07 Ning Chen , Nick Gravin , Pinyan Lu

We present a machine learning-powered iterative combinatorial auction (MLCA). The main goal of integrating machine learning (ML) into the auction is to improve preference elicitation, which is a major challenge in large combinatorial…

Computer Science and Game Theory · Computer Science 2021-09-03 Gianluca Brero , Benjamin Lubin , Sven Seuken

We show that the multiplicative weight update method provides a simple recipe for designing and analyzing optimal Bayesian Incentive Compatible (BIC) auctions, and reduces the time complexity of the problem to pseudo-polynomial in…

Computer Science and Game Theory · Computer Science 2013-04-12 Anand Bhalgat , Sreenivas Gollapudi , Kamesh Munagala

Internet search results are a growing and highly profitable advertising platform. Search providers auction advertising slots to advertisers on their search result pages. Due to the high volume of searches and the users' low tolerance for…

Databases · Computer Science 2016-11-17 David J. Martin , Johannes Gehrke , Joseph Y. Halpern

Many sequential decision-making tasks require satisfaction of multiple, partially contradictory objectives. Existing approaches are monolithic, namely all objectives are fulfilled using a single policy, which is a function that selects a…

Artificial Intelligence · Computer Science 2024-02-02 Guy Avni , Kaushik Mallik , Suman Sadhukhan

We study information design in click-through auctions, in which the bidders/advertisers bid for winning an opportunity to show their ads but only pay for realized clicks. The payment may or may not happen, and its probability is called the…

Computer Science and Game Theory · Computer Science 2024-04-23 Junjie Chen , Minming Li , Haifeng Xu , Song Zuo

Advertisement auctions play a crucial role in revenue generation for e-commerce companies. To make the bidding procedure scalable to thousands of auctions, the automatic bidding (autobidding) algorithms are actively developed in the…

Computer Science and Game Theory · Computer Science 2025-10-23 Andrey Pudovikov , Alexandra Khirianova , Ekaterina Solodneva , Aleksandr Katrutsa , Egor Samosvat , Yuriy Dorn

Auctions are markets with strict regulations governing the information available to traders in the market and the possible actions they can take. Since well designed auctions achieve desirable economic outcomes, they have been widely used…

Artificial Intelligence · Computer Science 2009-04-14 Jinzhong Niu , Simon Parsons

We give a calculus for reasoning about the first-order fragment of classical logic that is adequate for giving the truth conditions of intuitionistic Kripke frames, and outline a proof-theoretic soundness and completeness proof, which we…

Logic in Computer Science · Computer Science 2022-04-28 Robert Rothenberg

The paper is a contribution both to the theoretical foundations and to the actual construction of efficient automatizable proof procedures for non-classical logics. We focus here on the case of finite-valued logics, and exhibit: (i) a…

Logic in Computer Science · Computer Science 2014-08-19 Carlos Caleiro , João Marcos , Marco Volpe

The framework of budget-feasible mechanism design studies procurement auctions where the auctioneer (buyer) aims to maximize his valuation function subject to a hard budget constraint. We study the problem of designing truthful mechanisms…

Computer Science and Game Theory · Computer Science 2019-05-07 Georgios Amanatidis , Pieter Kleer , Guido Schäfer

Iterative combinatorial auctions (CAs) are often used in multi-billion dollar domains like spectrum auctions, and speed of convergence is one of the crucial factors behind the choice of a specific design for practical applications. To…

Computer Science and Game Theory · Computer Science 2019-07-12 Gianluca Brero , Sébastien Lahaie , Sven Seuken

We study blockchain trade-intent auctions, which currently intermediate about USD 10 billion in trades each month. These auctions are combinatorial because executing multiple trade intents jointly generates additional efficiencies. However,…

Theoretical Economics · Economics 2025-10-27 Andrea Canidio , Felix Henneke

We study auction design when a seller relies on machine-learning predictions of bidders' valuations that may be unreliable. Motivated by modern ML systems that are often accurate but occasionally fail in a way that is essentially…

Computer Science and Game Theory · Computer Science 2026-01-29 Ilan Lobel , Humberto Moreira , Omar Mouchtaki