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We establish several mixed $A_p$-$A_\infty$ bounds for Calder\'on-Zygmund operators that only involve one supremum. We address both cases when the $A_\infty$ part of the constant is measured using the exponential-logarithmic definition and…

Classical Analysis and ODEs · Mathematics 2013-10-07 Andrei K. Lerner , Kabe Moen

We develop a new metric for quantifying end-to-end throughput in multihop wireless networks, which we term random access transport capacity, since the interference model presumes uncoordinated transmissions. The metric quantifies the…

Information Theory · Computer Science 2016-11-18 Jeffrey G. Andrews , Steven Weber , Marios Kountouris , Martin Haenggi

We perform network analysis of a system described by the master equation to estimate the lower bound of the steady-state current noise, starting from the level 2.5 large deviation function and using the graph theory approach. When the…

Statistical Mechanics · Physics 2024-10-03 Yasuhiro Utsumi

We study two weight inequalities in the recent innovative language of `entropy' due to Treil-Volberg. The inequalities are extended to $ L ^{p}$, for $ 1< p \neq 2 < \infty $, with new short proofs. A result proved is as follows. Let $…

Classical Analysis and ODEs · Mathematics 2016-06-02 Michael T. Lacey , Scott Spencer

We consider the problem of repeatedly choosing policies to maximize social welfare. Welfare is a weighted sum of private utility and public revenue. Earlier outcomes inform later policies. Utility is not observed, but indirectly inferred.…

Econometrics · Economics 2024-07-30 Nicolo Cesa-Bianchi , Roberto Colomboni , Maximilian Kasy

We propose a model of discrete time dynamic congestion games with atomic players and a single source-destination pair. The latencies of edges are composed by free-flow transit times and possible queuing time due to capacity constraints. We…

Computer Science and Game Theory · Computer Science 2019-01-03 Marco Scarsini , Marc Schröder , Tristan Tomala

Kahn and Kim (J. Comput. Sci., 1995) have shown that for a finite poset $P$, the entropy of the incomparability graph of $P$ (normalized by multiplying by the order of $P$) and the base-$2$ logarithm of the number of linear extensions of…

Combinatorics · Mathematics 2014-12-04 Samuel Fiorini , Selim Rexhep

We propose a probabilistic growth model for transport networks which employs a balance between popularity of nodes and the physical distance between nodes. By comparing the degree of each node in the model network and the WAN, we observe…

Physics and Society · Physics 2016-12-21 T. Verma , N. A. M. Araújo , J. Nagler , J. S. Andrade , H. J. Herrmann

In this paper, we show that if every consumer in an economy has a quasi-linear utility function, then the normalized equilibrium price is unique, and is locally stable with respect to the t\^atonnement process. Our study can be seen as that…

Theoretical Economics · Economics 2024-04-22 Yuhki Hosoya

We propose improved fixed-design confidence bounds for the linear logistic model. Our bounds significantly improve upon the state-of-the-art bound by Li et al. (2017) via recent developments of the self-concordant analysis of the logistic…

Machine Learning · Statistics 2022-06-22 Kwang-Sung Jun , Lalit Jain , Blake Mason , Houssam Nassif

Game theory has emerged as a fruitful paradigm for the design of networked multiagent systems. A fundamental component of this approach is the design of agents' utility functions so that their self-interested maximization results in a…

Computer Science and Game Theory · Computer Science 2020-03-12 Dario Paccagnan , Rahul Chandan , Jason R. Marden

A popular formalism for multiagent control applies tools from game theory, casting a multiagent decision problem as a cooperation-style game in which individual agents make local choices to optimize their own local utility functions in…

Computer Science and Game Theory · Computer Science 2020-09-28 David Grimsman , Joshua H. Seaton , Jason R. Marden , Philip N. Brown

In \emph{bandwidth allocation games} (BAGs), the strategy of a player consists of various demands on different resources. The player's utility is at most the sum of these demands, provided they are fully satisfied. Every resource has a…

Computer Science and Game Theory · Computer Science 2018-07-10 Maximilian Drees , Matthias Feldotto , Sören Riechers , Alexander Skopalik

The effective design and management of public transport systems are essential to ensure the best service for users. The performance of a transport system will depend heavily on user behaviour. In the common-lines problem approach, users…

Optimization and Control · Mathematics 2024-11-21 Victoria M. Orlando , Iván L. Degano , Pablo A. Lotito

The power of networks manifests itself in a highly non-linear amplification of a number of effects, and their weakness - in propagation of cascading failures. The potential systemic risk effects can be either exacerbated or mitigated,…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-03-26 Dmitry Zinoviev , Hamid Benbrahim , Greta Meszoely , Dan Stefanescu

Today's economy, production activity, and our life are sustained by social and technological network infrastructures, while new threats of network attacks by destructing loops have been found recently in network science. We inversely take…

Physics and Society · Physics 2018-03-08 Yukio Hayashi

During a pandemic people have to find a trade-off between meeting others and staying safely at home. While meeting others is pleasant, it also increases the risk of infection. We consider this dilemma by introducing a game-theoretic network…

Computer Science and Game Theory · Computer Science 2022-04-26 Tobias Friedrich , Hans Gawendowicz , Pascal Lenzner , Anna Melnichenko

In some applications, the variance of additive measurement noise depends on the signal that we aim to measure. For instance, additive Gaussian signal-dependent noise (AGSDN) channel models are used in molecular and optical communication.…

Information Theory · Computer Science 2017-06-05 Hamid Ghourchian , Gholamali Aminian , Amin Gohari , Mahtab Mirmohseni , Masoumeh Nasiri-Kenari

Payment channels were introduced to solve various eminent cryptocurrency scalability issues. Multiple payment channels build a network on top of a blockchain, the so-called layer 2. In this work, we analyze payment networks through the lens…

Computer Science and Game Theory · Computer Science 2019-12-11 Zeta Avarikioti , Lioba Heimbach , Yuyi Wang , Roger Wattenhofer

Pricing multi-interval economic dispatch of electric power under operational uncertainty is considered in this two-part paper. Part I investigates dispatch-following incentives for generators under the locational marginal pricing (LMP) and…

Systems and Control · Electrical Eng. & Systems 2020-12-29 Cong Chen , Ye Guo , Lang Tong