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We develop a complexity theory for approximate real computations. We first produce a theory for exact computations but with condition numbers. The input size depends on a condition number, which is not assumed known by the machine. The…

Computational Complexity · Computer Science 2020-05-05 Gregorio Malajovich , Mike Shub

Interdependent values make basic auction design tasks -- in particular maximizing welfare truthfully in single-item auctions -- quite challenging. Eden et al. recently established that if the bidders valuation functions are submodular over…

Computer Science and Game Theory · Computer Science 2021-07-20 Ameer Amer , Inbal Talgam-Cohen

We consider the computational complexity of computing Bayes-Nash equilibria in first-price auctions, where the bidders' values for the item are drawn from a general (possibly correlated) joint distribution. We show that when the values and…

Computer Science and Game Theory · Computer Science 2025-06-06 Aris Filos-Ratsikas , Yiannis Giannakopoulos , Alexandros Hollender , Charalampos Kokkalis

Judgment aggregation is a framework to aggregate individual opinions on multiple, logically connected issues into a collective outcome. These opinions are cast by judges, which can be for example referees, experts, advisors or jurors,…

Computer Science and Game Theory · Computer Science 2024-04-01 Robert Bredereck , Junjie Luo

Most of the work in the auction design literature assumes that bidders behave rationally based on the information available for every individual auction, and the revelation principle enables designers to restrict their efforts to incentive…

Computer Science and Game Theory · Computer Science 2024-05-14 Juncheng Li , Pingzhong Tang

We show that computing the revenue-optimal deterministic auction in unit-demand single-buyer Bayesian settings, i.e. the optimal item-pricing, is computationally hard even in single-item settings where the buyer's value distribution is a…

Computer Science and Game Theory · Computer Science 2015-03-10 Constantinos Daskalakis , Alan Deckelbaum , Christos Tzamos

We revisit the classic problem of fair division from a mechanism design perspective, using {\em Proportional Fairness} as a benchmark. In particular, we aim to allocate a collection of divisible items to a set of agents while incentivizing…

Computer Science and Game Theory · Computer Science 2014-02-26 Richard Cole , Vasilis Gkatzelis , Gagan Goel

We consider a committee voting setting in which each voter approves of a subset of candidates and based on the approvals, a target number of candidates are selected. Aziz et al. (2015) proposed two representation axioms called justified…

Computer Science and Game Theory · Computer Science 2017-03-24 Haris Aziz , Shenwei Huang

We consider the optimization problem of a multi-resource, multi-unit VCG auction that produces an optimal, i.e., non-approximated, social welfare. We present an algorithm that solves this optimization problem with pseudo-polynomial…

Computer Science and Game Theory · Computer Science 2019-05-23 Liran Funaro , Orna Agmon Ben-Yehuda , Assaf Schuster

There has been much recent work on the revenue-raising properties of truthful mechanisms for selling goods to selfish bidders. Typically the revenue of a mechanism is compared against a benchmark (such as, the maximum revenue obtainable by…

Computer Science and Game Theory · Computer Science 2013-01-14 Paul W. Goldberg , Carmine Ventre

In mechanism design it is typical to impose incentive compatibility and then derive an optimal mechanism subject to this constraint. By replacing the incentive compatibility requirement with the goal of minimizing expected ex post regret,…

Computer Science and Game Theory · Computer Science 2012-08-07 Paul Duetting , Felix Fischer , Pitchayut Jirapinyo , John K. Lai , Benjamin Lubin , David C. Parkes

We provide a constructive proof of Border's theorem [Bor91, HR15a] and its generalization to reduced-form auctions with asymmetric bidders [Bor07, MV10, CKM13]. Given a reduced form, we identify a subset of Border constraints that are…

Computer Science and Game Theory · Computer Science 2017-11-21 Yang Cai , Constantinos Daskalakis , S. Matthew Weinberg

We initiate the study of efficient mechanism design with guaranteed good properties even when players participate in multiple different mechanisms simultaneously or sequentially. We define the class of smooth mechanisms, related to smooth…

Computer Science and Game Theory · Computer Science 2012-11-07 Vasilis Syrgkanis , Eva Tardos

We study revenue maximization in multi-item auctions, where bidders have subadditive valuations over independent items. Providing a simple mechanism that is approximately revenue-optimal in this setting is a major open problem in mechanism…

Computer Science and Game Theory · Computer Science 2023-10-13 Yang Cai , Ziyun Chen , Jinzhao Wu

Standard ad auction formats do not immediately extend to settings where multiple size configurations and layouts are available to advertisers. In these settings, the sale of web advertising space increasingly resembles a combinatorial…

Computer Science and Game Theory · Computer Science 2020-11-10 Rad Niazadeh , Jason Hartline , Nicole Immorlica , Mohammad Reza Khani , Brendan Lucier

We consider a revenue-maximizing seller with $n$ items facing a single buyer. We introduce the notion of symmetric menu complexity of a mechanism, which counts the number of distinct options the buyer may purchase, up to permutations of the…

Computer Science and Game Theory · Computer Science 2020-05-08 Pravesh Kothari , Divyarthi Mohan , Ariel Schvartzman , Sahil Singla , S. Matthew Weinberg

We study the fundamental, classical mechanism design problem of single-buyer multi-item Bayesian revenue-maximizing auctions under the lens of communication complexity between the buyer and the seller. Specifically, we ask whether using…

Computer Science and Game Theory · Computer Science 2025-01-07 Aviad Rubinstein , Zixin Zhou

On-demand resource provisioning in cloud computing provides tailor-made resource packages (typically in the form of VMs) to meet users' demands. Public clouds nowadays provide more and more elaborated types of VMs, but have yet to offer the…

Computer Science and Game Theory · Computer Science 2016-11-24 Xiaoxi Zhang , Chuan Wu , Zongpeng Li , Francis C. M. Lau

We consider an outsourcing problem where a software agent procures multiple services from providers with uncertain reliabilities to complete a computational task before a strict deadline. The service consumer requires a procurement strategy…

Computer Science and Game Theory · Computer Science 2021-10-26 Farzaneh Farhadi , Maria Chli , Nicholas R. Jennings

The notion of weak truth-table reducibility plays an important role in recursion theory. In this paper, we introduce an elaboration of this notion, where a computable bound on the use function is explicitly specified. This elaboration…

Logic · Mathematics 2019-09-04 Kohtaro Tadaki