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Graph data has a unique structure that deviates from standard data assumptions, often necessitating modifications to existing methods or the development of new ones to ensure valid statistical analysis. In this paper, we explore the notion…

统计方法学 · 统计学 2024-07-09 Cencheng Shen , Jesüs Arroyo , Junhao Xiong , Joshua T. Vogelstein

Understanding the structure and formation of networks is a central topic in complexity science. Economic networks are formed by decisions of individual agents and thus not properly described by established random graph models. In this…

物理与社会 · 物理学 2023-08-10 Chengyuan Han , Malte Schröder , Dirk Witthaut , Philipp C. Böttcher

For the purpose of elucidating the correlation among currencies, we analyze daily and high-resolution data of foreign exchange rates. There is strong correlation for pairs of currencies of geographically near countries. We show that there…

统计力学 · 物理学 2008-12-02 Takayuki Mizuno , Shoko Kurihara , Misako Takayasu , Hideki Takayasu

This paper investigates arbitrage chains involving four currencies and four foreign exchange trader-arbitrageurs. In contrast with the three-currency case, we find that arbitrage operations when four currencies are present may appear…

综合金融 · 定量金融 2012-04-02 Rod Cross , Victor Kozyakin , Brian O'Callaghan , Alexei Pokrovskii , Alexey Pokrovskiy

A standing assumption in the literature on proportional transaction costs is efficient friction. Together with robust no free lunch with vanishing risk, it rules out strategies of infinite variation, as they usually appear in frictionless…

数理金融 · 定量金融 2023-06-21 Christoph Kühn , Alexander Molitor

Many popular network models rely on the assumption of (vertex) exchangeability, in which the distribution of the graph is invariant to relabelings of the vertices. However, the Aldous-Hoover theorem guarantees that these graphs are dense or…

机器学习 · 统计学 2017-02-07 Diana Cai , Trevor Campbell , Tamara Broderick

We study risk-sharing equilibria with general convex costs on the agents' trading rates. For an infinite-horizon model with linear state dynamics and exogenous volatilities, we prove that the equilibrium returns mean-revert around their…

数理金融 · 定量金融 2020-04-16 Lukas Gonon , Johannes Muhle-Karbe , Xiaofei Shi

We derive tractable necessary and sufficient conditions for the absence of buy-and-hold arbitrage opportunities in a perfectly liquid, one period market. We formulate the positivity of Arrow-Debreu prices as a generalized moment problem to…

计算工程、金融与科学 · 计算机科学 2007-05-23 Alexandre d'Aspremont

This paper shows that a well designed transport system has an embedded exchange value by serving as a market for potential exchange between consumers. Under suitable conditions, one can improve the welfare of consumers in the system simply…

最优化与控制 · 数学 2011-03-04 Qinglan Xia , Shaofeng Xu

The rate equations are used to study the scale-free behavior of the weight distribution in evolving networks whose topology is determined only by degrees of preexisting vertices. An analysis of these equations shows that the degree…

无序系统与神经网络 · 物理学 2007-05-23 W. Jezewski

Value adjustment of uncollateralized trades is determined within a risk-neutral pricing framework. When hedging such trades, investors cannot freely trade protection on their own name, thus facing an incomplete market. This fact is…

证券定价 · 定量金融 2014-09-23 Lorenzo Cornalba

Horizontal agreements can fall within the scope of exemptions to antitrust competition if they are expected to create pro-consumer benefits. Inspired by such horizontal agreements, we introduce a cooperative game in which a set of transport…

最优化与控制 · 数学 2021-09-09 Loe Schlicher , Virginie Lurkin

We discuss how minimal financial market models can be constructed by bridging the gap between two existing, but incomplete, market models: a model in which a population of virtual traders make decisions based on common global information…

交易与市场微观结构 · 定量金融 2008-12-16 Andy Kirou , Blazej Ruszczycki , Markus Walser , Neil F. Johnson

We consider the Eschenauer-Gligor key predistribution scheme under the condition of partial visibility with i.i.d. on-off links between pairs of nodes. This situation is modeled as the intersection of two random graphs, namely a random key…

概率论 · 数学 2015-10-13 Armand M. Makowski , Osman Yağan

After a market downturn, especially in an uncertain economic environment such as the current state, there can be a relatively long period with a sideways market, where indexes, stocks, etc., move in channels with support and resistance…

证券定价 · 定量金融 2020-06-26 Zura Kakushadze

Analyzing real data on international trade covering the time interval 1950-2000, we show that in each year over the analyzed period the network is a typical representative of the ensemble of maximally random weighted networks, whose…

综合金融 · 定量金融 2015-05-27 Agata Fronczak , Piotr Fronczak

Ad exchanges are an emerging platform for trading advertisement slots on the web with billions of dollars revenue per year. Every time a user visits a web page, the publisher of that web page can ask an ad exchange to auction off the ad…

计算机科学与博弈论 · 计算机科学 2016-04-20 Oren Ben-Zwi , Monika Henzinger , Veronika Loitzenbauer

In a discrete-time setting, we study arbitrage concepts in the presence of convex trading constraints. We show that solvability of portfolio optimization problems is equivalent to absence of arbitrage of the first kind, a condition weaker…

数理金融 · 定量金融 2022-02-21 Claudio Fontana , Wolfgang J. Runggaldier

This paper studies matching markets in the presence of middlemen. In our framework, a buyer-seller pair may either trade directly or use the services of a middleman; and a middleman may serve multiple buyer-seller pairs. Direct trade…

理论经济学 · 经济学 2022-01-25 Ata Atay , Eric Bahel , Tamás Solymosi

The research presented in this work is motivated by recent papers by Brigo et al. (2011), Burgard and Kjaer (2009), Cr\'epey (2012), Fujii and Takahashi (2010), Piterbarg (2010) and Pallavicini et al. (2012). Our goal is to provide a sound…

数理金融 · 定量金融 2014-12-11 Tomasz R. Bielecki , Marek Rutkowski