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A long-standing hypothesis in neuroscience is that the central nervous system accomplishes complex motor behaviors through the combination of a small number of motor primitives. Many studies in the last couples of decades have identified…

Neurons and Cognition · Quantitative Biology 2016-03-23 Enrico Chiovetto , Andrea d'Avella , Martin Giese

We analyze the trade-off between model complexity and accuracy for random forests by breaking the trees up into individual classification rules and selecting a subset of them. We show experimentally that already a few rules are sufficient…

Machine Learning · Computer Science 2020-12-09 Michael Rapp , Eneldo Loza Mencía , Johannes Fürnkranz

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 $\min\{m,n\}$…

Computer Science and Game Theory · Computer Science 2023-11-07 Shiri Ron

We study the communication complexity of incentive compatible auction-protocols between a monopolist seller and a single buyer with a combinatorial valuation function over $n$ items. Motivated by the fact that revenue-optimal auctions are…

Computer Science and Game Theory · Computer Science 2021-04-26 Aviad Rubinstein , Junyao Zhao

We present a comprehensive classical and parameterized complexity analysis of decision tree pruning operations, extending recent research on the complexity of learning small decision trees. Thereby, we offer new insights into the…

Machine Learning · Computer Science 2025-03-06 Juha Harviainen , Frank Sommer , Manuel Sorge , Stefan Szeider

Computing market equilibria is an important practical problem for market design, for example in fair division of items. However, computing equilibria requires large amounts of information (typically the valuation of every buyer for every…

Computer Science and Game Theory · Computer Science 2021-09-07 Christian Kroer , Alexander Peysakhovich , Eric Sodomka , Nicolas E. Stier-Moses

We consider the problem of a designer who wants to allocate resources to representatives, that then distribute the resources they receive among the individuals they represent. Motivated by the way Feeding America, one of the largest U.S.…

Computer Science and Game Theory · Computer Science 2024-10-01 Gagan Aggarwal , Marios Mertzanidis , Alexandros Psomas , Di Wang

We study the communication complexity of dominant strategy implementations of combinatorial auctions. We start with two domains that are generally considered "easy": multi-unit auctions with decreasing marginal values and combinatorial…

Computer Science and Game Theory · Computer Science 2022-06-02 Shahar Dobzinski , Shiri Ron , Jan Vondrák

We study the design of prior-independent auctions in a setting with heterogeneous bidders. In particular, we consider the setting of selling to $n$ bidders whose values are drawn from $n$ independent but not necessarily identical…

Computer Science and Game Theory · Computer Science 2023-11-08 Guru Guruganesh , Aranyak Mehta , Di Wang , Kangning Wang

We consider dynamic pricing schemes in online settings where selfish agents generate online events. Previous work on online mechanisms has dealt almost entirely with the goal of maximizing social welfare or revenue in an auction settings.…

Computer Science and Game Theory · Computer Science 2015-04-07 Ilan Reuven Cohen , Alon Eden , Amos Fiat , Łukasz Jeż

For revenue and welfare maximization in single-dimensional Bayesian settings, Chawla et al. (STOC10) recently showed that sequential posted-price mechanisms (SPMs), though simple in form, can perform surprisingly well compared to the…

Computer Science and Game Theory · Computer Science 2010-10-28 Qiqi Yan

We study approximation algorithms for graph pricing with vertex capacities yet without the traditional envy-free constraint. Specifically, we have a set of items $V$ and a set of customers $X$ where each customer $i \in X$ has a budget…

Data Structures and Algorithms · Computer Science 2019-12-12 Zachary Friggstad , Maryam Mahboub

We propose an entropy function for simplicial complices. Its value gives the expected cost of the optimal encoding of sequences of vertices of the complex, when any two vertices belonging to the same simplex are indistinguishable. We show…

Information Theory · Computer Science 2016-03-24 Stefan Dantchev , Ioannis Ivrissimtzis

Real-world pricing mechanisms are typically optimized using training data, a setting corresponding to the \textit{pricing query complexity} problem in Mechanism Design. The previous work [LSTW23] studies the \textit{single-distribution}…

Computer Science and Game Theory · Computer Science 2026-01-26 Houshuang Chen , Yaonan Jin , Pinyan Lu , Chihao Zhang

We study the computational complexity of fair division of indivisible items in an enriched model: there is an underlying graph on the set of items. And we have to allocate the items (i.e., the vertices of the graph) to a set of agents in…

Computer Science and Game Theory · Computer Science 2023-05-12 Jayakrishnan Madathil

We introduce the smoothed analysis of algorithms, which is a hybrid of the worst-case and average-case analysis of algorithms. In smoothed analysis, we measure the maximum over inputs of the expected performance of an algorithm under small…

Data Structures and Algorithms · Computer Science 2009-09-25 Daniel A. Spielman , Shang-Hua Teng

We consider repeated multi-unit auctions with uniform pricing, which are widely used in practice for allocating goods such as carbon licenses. In each round, $K$ identical units of a good are sold to a group of buyers that have valuations…

Computer Science and Game Theory · Computer Science 2024-01-17 Simina Brânzei , Mahsa Derakhshan , Negin Golrezaei , Yanjun Han

In non-truthful auctions, agents' utility for a strategy depends on the strategies of the opponents and also the prior distribution over their private types; the set of Bayes Nash equilibria generally has an intricate dependence on the…

Computer Science and Game Theory · Computer Science 2022-11-02 Hu Fu , Tao Lin

This paper develops algorithms to solve strong-substitutes product-mix auctions. That is, it finds competitive equilibrium prices and quantities for agents who use this auction's bidding language to truthfully express their…

Computer Science and Game Theory · Computer Science 2023-07-11 Elizabeth Baldwin , Paul W. Goldberg , Paul Klemperer , Edwin Lock

Global supply networks in agriculture, manufacturing, and services are a defining feature of the modern world. The efficiency and the distribution of surpluses across different parts of these networks depend on choices of intermediaries.…

General Finance · Quantitative Finance 2019-06-05 Felipe M. Cardoso , Carlos Gracia-Lazaro , Frederic Moisan , Sanjeev Goyal , Angel Sanchez , Yamir Moreno