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We apply renormalized entropy as a complexity measure to the logistic and sine-circle maps. In the case of logistic map, renormalized entropy decreases (increases) until the accumulation point (after the accumulation point up to the most…

数据分析、统计与概率 · 物理学 2015-06-12 O. Afsar , G. B. Bagci , U. Tirnakli

The demand for resilient logistics networks has increased because of recent disasters. When we consider optimization problems, entropy regularization is a powerful tool for the diversification of a solution. In this study, we proposed a…

系统与控制 · 电气工程与系统科学 2022-12-06 Koshi Oishi , Yota Hashizume , Tomohiko Jimbo , Hirotaka Kaji , Kenji Kashima

We develop bounds on the capacity of wireless networks when the traffic is non-uniform, i.e., not all nodes are required to receive and send similar volumes of traffic. Our results are asymptotic, i.e., they hold with probability going to…

网络与互联网体系结构 · 计算机科学 2013-10-24 Stavros Toumpis

We study the classic single-choice prophet inequality problem through a resource augmentation lens. Our goal is to bound the $(1-\varepsilon)$-competition complexity of different types of online algorithms. This metric asks for the smallest…

计算机科学与博弈论 · 计算机科学 2024-02-23 Johannes Brustle , José Correa , Paul Dütting , Tomer Ezra , Michal Feldman , Victor Verdugo

The price of anarchy (PoA) is a popular metric for analyzing the inefficiency of self-interested decision making. Although its study is widespread, characterizing the PoA can be challenging. A commonly employed approach is based on the…

计算机科学与博弈论 · 计算机科学 2021-05-26 Rahul Chandan , Dario Paccagnan , Jason R. Marden

We consider the problem of determining asymptotic bounds on the capacity of a random ad hoc network. Previous approaches assumed a link layer model in which if a transmitter-receiver pair can communicate with each other, i.e., the Signal to…

信息论 · 计算机科学 2008-11-24 Vivek P. Mhatre , Catherine P. Rosenberg , Ravi R. Mazumdar

We show that a large effective number of commodities can be a source of equilibrium stability and uniqueness: expanding substitution opportunities strengthens aggregate substitution effects. We study finite dated-commodity exchange…

理论经济学 · 经济学 2026-05-05 Xinyang Wang

A new simple model of diffusion of innovations in a social network with upgrading costs is introduced. Agents are characterized by a single real variable, their technological level. According to local information agents decide whether to…

统计力学 · 物理学 2009-11-07 X. Guardiola , A. Diaz-Guilera , C. J. Perez , A. Arenas , M. Llas

We study the price of anarchy of mechanisms in the presence of risk-averse agents. Previous work has focused on agents with quasilinear utilities, possibly with a budget. Our model subsumes this as a special case but also captures that…

计算机科学与博弈论 · 计算机科学 2018-04-26 Thomas Kesselheim , Bojana Kodric

We revisit the linear Cournot model with uncertain demand that is studied in Lagerl\"of (2006)* and provide sufficient conditions for equilibrium uniqueness that complement the existing results. We show that if the distribution of the…

理论经济学 · 经济学 2021-07-19 Stefanos Leonardos , Costis Melolidakis

Pricing algorithms have demonstrated the capability to learn tacit collusion that is largely unaddressed by current regulations. Their increasing use in markets, including oligopolistic industries with a history of collusion, calls for…

计算机科学与博弈论 · 计算机科学 2025-02-26 Paul Friedrich , Barna Pásztor , Giorgia Ramponi

Congestion games constitute an important class of non-cooperative games which was introduced by Rosenthal in 1973. In recent years, several extensions of these games were proposed to incorporate aspects that are not captured by the standard…

计算机科学与博弈论 · 计算机科学 2017-01-27 Pieter Kleer , Guido Schäfer

Price controls kill the incentive for arbitrage. We prove a Chaos Theorem: under a binding price ceiling, suppliers are indifferent across destinations, so arbitrarily small cost differences can determine the entire allocation. The economy…

综合经济学 · 经济学 2026-03-31 Brian C. Albrecht , Alex Tabarrok , Mark Whitmeyer

In many markets, like electricity or cloud computing markets, providers incur large costs for keeping sufficient capacity in reserve to accommodate demand fluctuations of a mostly fixed user base. These costs are significantly affected by…

计算机科学与博弈论 · 计算机科学 2020-04-07 Ludwig Dierks , Sven Seuken

We introduce an agent-based model, in which agents set their prices to maximize profit. At steady state the market self-organizes into three groups: excess producers, consumers and balanced agents, with prices determined by their own…

综合金融 · 定量金融 2018-01-03 Bin Li , K. Y. Michael Wong , Amos H. M. Chan , Tsz Yan So , Hermanni Heimonen , Junyi Wei , David Saad

We consider processing networks where multiple dispatchers are connected to single-server queues by a bipartite compatibility graph, modeling constraints that are common in data centers and cloud networks due to geographic reasons or data…

概率论 · 数学 2026-05-01 Diego Goldsztajn , Andres Ferragut

We provide an upper bound on the quasi-relative entropy in terms of the trace distance. The bound is derived for two cases: 1) any operator monotone decreasing function and full rank mixed qubit or classical states; 2) a large class of…

量子物理 · 物理学 2020-12-23 Anna Vershynina

Identical products being sold at different prices in different locations is a common phenomenon. Price differences might occur due to various reasons such as shipping costs, trade restrictions and price discrimination. To model such…

计算机科学与博弈论 · 计算机科学 2010-08-02 Sourav Chakraborty , Nikhil Devanur , Chinmay Karande

We study a market mechanism that sets edge prices to incentivize strategic agents to efficiently share limited network capacity. In this market, agents form coalitions, with each coalition sharing a unit capacity of a selected route and…

计算机科学与博弈论 · 计算机科学 2025-11-19 Saurabh Amin , Patrick Jaillet , Haripriya Pulyassary , Manxi Wu

In this paper we show that the price of stability of Shapley network design games on undirected graphs with k players is at most (k^3(k+1)/2-k^2) / (1+k^3(k+1)/2-k^2) H_k = (1 - \Theta(1/k^4)) H_k, where H_k denotes the k-th harmonic…

计算机科学与博弈论 · 计算机科学 2013-03-25 Yann Disser , Andreas Emil Feldmann , Max Klimm , Matúš Mihalák