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We study the extremal competitive ratio of Boolean function evaluation. We provide the first non-trivial lower and upper bounds for classes of Boolean functions which are not included in the class of monotone Boolean functions. For the…

Data Structures and Algorithms · Computer Science 2014-02-11 Ferdinando Cicalese , Travis Gagie , Eduardo Laber , Martin Milanic

Recent research in industrial organisation has investigated the essential place that middlemen have in the networks that make up our global economy. In this paper we attempt to understand how such middlemen compete with each other through a…

Computer Science and Game Theory · Computer Science 2013-10-15 Robert P. Gilles , Dimitrios Diamantaras

We introduce a new criterion which if satisfied implies the Riemann hypothesis.

General Mathematics · Mathematics 2011-07-27 Roupam Ghosh

We prove a central limit theorem with aassumptions which are many weak than classical conditions

Probability · Mathematics 2007-05-23 René Blacher

We make two tiny corrections to our previous paper with the same title, and also obtain, as a bonus, something new.

Complex Variables · Mathematics 2007-11-06 Judith Brinkschulte , C. Denson Hill , Mauro Nacinovich

We propose a new method for proving lower bounds on quantum query algorithms. Instead of a classical adversary that runs the algorithm with one input and then modifies the input, we use a quantum adversary that runs the algorithm with a…

Quantum Physics · Physics 2007-05-23 Andris Ambainis

A canonical setting for non-monetary online resource allocation is one where agents compete over multiple rounds for a single item per round, with i.i.d. valuations and additive utilities across rounds. With $n$ symmetric agents, a natural…

Computer Science and Game Theory · Computer Science 2025-12-01 David X. Lin , Giannis Fikioris , Siddhartha Banerjee , Éva Tardos

New cases of the multiplicity conjecture are considered.

Commutative Algebra · Mathematics 2007-05-23 Juergen Herzog , Xinxian Zheng

We propose a new PAC-Bayesian bound and a way of constructing a hypothesis space, so that the bound is convex in the posterior distribution and also convex in a trade-off parameter between empirical performance of the posterior distribution…

Machine Learning · Computer Science 2017-08-25 Niklas Thiemann , Christian Igel , Olivier Wintenberger , Yevgeny Seldin

We present a new variant of the quantum adversary method. All adversary methods give lower bounds on the quantum query complexity of a function by bounding the change of a progress function caused by one query. All previous variants…

Quantum Physics · Physics 2007-05-23 Robert Spalek

We prove a variation of Gronwall's lemma.

Classical Analysis and ODEs · Mathematics 2009-01-09 Quang-Cuong Pham

We provide new sufficient conditions under which Ryser's conjecture holds.

Number Theory · Mathematics 2025-09-03 Antun Domic , Luis H. Gallardo

I propose a notion of $(\omega_1,\beta)$-morass for the case $\omega_1 \leq \beta$.

Logic · Mathematics 2011-07-26 Bernhard Irrgang

In this paper we analytically propose an alternative approach to achieve better fairness in scheduling mechanisms which could provide better quality of service particularly for real time application. Our proposal oppose the allocation of…

Networking and Internet Architecture · Computer Science 2010-08-12 Yaser Miaji , Suhaidi Hassan

In this paper we analytically propose an alternative approach to achieve better fairness in scheduling mechanisms which could provide better quality of service particularly for real time application. Our proposal oppose the allocation of…

Networking and Internet Architecture · Computer Science 2010-07-15 Yaser Miaji , Suhaidi Hassan

We study liquidity provision in the presence of exogenous competition. We consider a `reference market maker' who monitors her inventory and the aggregated inventory of the competing market makers. We assume that the competing market makers…

Mathematical Finance · Quantitative Finance 2024-07-25 Robert Boyce , Martin Herdegen , Leandro Sánchez-Betancourt

We build upon recent work [Kleinberg and Oren, 2014, Kleinberg et al., 2016, 2017] that considers present biased agents, who place more weight on costs they must incur now than costs they will incur in the future. They consider a graph…

Computer Science and Game Theory · Computer Science 2022-01-17 Aditya Saraf , Anna R. Karlin , Jamie Morgenstern

We present an extension of Eigen's model for quasi-species including the competition among individuals, proposed as the simplest mechanism for the formation of new species in a smooth fitness landscape. We are able to obtain analytically…

Statistical Mechanics · Physics 2008-02-03 Franco Bagnoli , Michele Bezzi

We study the regulation of a monopolistic firm using a robust-design approach. We solve for the policy that minimizes the regulator's worst-case regret, where the regret is the difference between his complete-information payoff minus his…

Theoretical Economics · Economics 2019-10-11 Yingni Guo , Eran Shmaya

Algorithmic decision making systems are ubiquitous across a wide variety of online as well as offline services. These systems rely on complex learning methods and vast amounts of data to optimize the service functionality, satisfaction of…

Machine Learning · Statistics 2017-03-27 Muhammad Bilal Zafar , Isabel Valera , Manuel Gomez Rodriguez , Krishna P. Gummadi