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In order to scale transaction rates for deployment across the global web, many cryptocurrencies have deployed so-called "Layer-2" networks of private payment channels. An idealized payment network behaves like a Credit Network, a model for…

Computer Science and Game Theory · Computer Science 2020-03-19 Geoffrey Ramseyer , Ashish Goel , David Mazieres

Credit networks rely on decentralized, pairwise trust relationships (channels) to exchange money or goods. Credit networks arise naturally in many financial systems, including the recent construct of payment channel networks in blockchain…

Social and Information Networks · Computer Science 2021-09-29 Vibhaalakshmi Sivaraman , Weizhao Tang , Shaileshh Bojja Venkatakrishnan , Giulia Fanti , Mohammad Alizadeh

To improve transaction rates, many cryptocurrencies have implemented so-called ''Layer-2'' transaction protocols, where payments are routed across networks of private payment channels. However, for a given transaction, not every network…

Data Structures and Algorithms · Computer Science 2020-06-30 Ashish Goel , Geoffrey Ramseyer

The Bitcoin Lightning network is a mechanism to enable fast and inexpensive off-chain Bitcoin transactions using peer-to-peer (P2P) channels between nodes that can also be composed into a routing path. Although the resulting possible…

Networking and Internet Architecture · Computer Science 2020-06-26 Finnegan Waugh , Ralph Holz

In this paper, we propose a technique for rebalancing link weights in decentralized credit networks. Credit networks are peer-to-peer trust-based networks that enable fast and inexpensive cross-currency transactions compared to traditional…

Cryptography and Security · Computer Science 2020-03-10 Lalitha Muthu Subramanian , Roopa Vishwanathan , Kartick Kolachala

Given a graph $G$ whose edges are perfectly reliable and whose nodes each operate independently with probability $p\in[0,1],$ the node reliability of $G$ is the probability that at least one node is operational and that the operational…

Combinatorics · Mathematics 2018-02-14 Jason Brown , Lucas Mol

This work explores the characteristics of financial contagion in networks whose links distributions approaches a power law, using a model that defines banks balance sheets from information of network connectivity. By varying the parameters…

General Finance · Quantitative Finance 2014-10-10 Vanessa Hoffmann de Quadros , Juan Carlos González-Avella , José Roberto Iglesias

We develop a model where currency issuers provide liquidity, while users in a trade network choose currency usage for trade settlement. We identify a feedback mechanism where a user's currency preference spillovers to others and increases…

Theoretical Economics · Economics 2025-07-30 Tomoo Kikuchi , Lien Pham

We study a random process over graphs inspired by the way payments are executed in the Lightning Network, the main layer-two solution on top of Bitcoin. We first prove almost tight upper and lower bounds on the time it takes for a payment…

Networking and Internet Architecture · Computer Science 2025-12-30 Taki E. M. Abedesselam , Fabio Giacomelli , Francesco Pasquale , Michele Salvi

Propagation of balance-sheet or cash-flow insolvency across financial institutions may be modeled as a cascade process on a network representing their mutual exposures. We derive rigorous asymptotic results for the magnitude of contagion in…

Risk Management · Quantitative Finance 2014-03-26 Hamed Amini , Rama Cont , Andreea Minca

A payment channel network is a blockchain-based overlay mechanism that allows parties to transact more efficiently than directly using the blockchain. These networks are composed of payment channels that carry transactions between pairs of…

Networking and Internet Architecture · Computer Science 2026-03-10 Suryanarayana Sankagiri , Bruce Hajek

Community currency networks are made up of individuals and or companies that share some physical or social characteristics and engage in economic transactions using a virtual currency. This paper investigates the structural and dynamic…

Computational Engineering, Finance, and Science · Computer Science 2025-07-04 Camilla Ancona , Dora Ricci , Carmela Bernardo , Francesco Lo Iudice , Anton Proskurnikov , Francesco Vasca

Money flow models are essential tools to understand different economical phenomena, like saving propensities and wealth distributions. In spite of their importance, most of them are based on synthetic transaction networks with simple…

General Finance · Quantitative Finance 2016-08-03 Massimiliano Zanin , David Papo , Miguel Romance , Regino Criado , Santiago Moral

Various social, financial, biological and technological systems can be modeled by interdependent networks. It has been assumed that in order to remain functional, nodes in one network must receive the support from nodes belonging to…

Physics and Society · Physics 2017-12-01 M. A. Di Muro , L. D. Valdez , H. H. A. Rêgo , S. V. Buldyrev , H. E. Stanley , L. A. Braunstein

Cryptocurrencies such as Bitcoin and Ethereum have made payment transactions possible without a trusted third party, but they have a scalability issue due to their consensus mechanisms. Payment networks have emerged to overcome this…

Cryptography and Security · Computer Science 2025-03-25 Junmo Lee , Seongjun Kim , Sanghyeon Park , Soo-Mook Moon

The Lightning Network, known for its millisecond settlement speeds and low transaction fees, offers a compelling alternative to traditional payment processors, which often have higher fees and longer processing times. This is particularly…

Cryptography and Security · Computer Science 2023-12-08 Jeffy Yu

Networks in nature do not act in isolation but instead exchange information, and depend on each other to function properly. An incipient theory of Networks of Networks have shown that connected random networks may very easily result in…

A fundamental problem in the study of networks is the identification of important nodes. This is typically achieved using centrality metrics, which rank nodes in terms of their position in the network. This approach works well for static…

Computational Engineering, Finance, and Science · Computer Science 2022-10-19 Isobel Seabrook , Paolo Barucca , Fabio Caccioli

In this paper we estimate the propagation of liquidity shocks through interbank markets when the information about the underlying credit network is incomplete. We show that techniques such as Maximum Entropy currently used to reconstruct…

Risk Management · Quantitative Finance 2013-10-08 Iacopo Mastromatteo , Elia Zarinelli , Matteo Marsili

People and companies move money with every financial transaction they make. We aim to understand how such activity gives rise to large-scale patterns of monetary flow. In this work, we trace the movement of e-money through the accounts of a…

Physics and Society · Physics 2019-10-15 Carolina Mattsson
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