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The optimal stopping problem for the risk process with interests rates and when claims are covered immediately is considered. An insurance company receives premiums and pays out claims which have occured according to a renewal process and…

Probability · Mathematics 2008-12-23 Bogdan K. Muciek , Krzysztof J. Szajowski

This paper examines the Balanced Submodular Flow Problem, that is the problem of finding a feasible submodular flow minimizing the difference between the flow values along the edges. A min-max formula is given to the problem and an…

Optimization and Control · Mathematics 2023-09-07 Alpár Jüttner , Eszter Szabó

It is well-known that disciplines such as mechanical engineering, electrical engineering, civil engineering, aerospace engineering, chemical engineering and software engineering witnessed successful applications of reliability engineering…

General Finance · Quantitative Finance 2020-04-24 Vadlamani Ravi , Vadlamani Madhav

As impressively shown by the financial crisis in 2007/08, contagion effects in financial networks harbor a great threat for the stability of the entire system. Without sufficient capital requirements for banks and other financial…

Risk Management · Quantitative Finance 2019-11-19 Daniel Ritter

In order to protect brokers from customer defaults in a volatile market, an active margin system is proposed for the transactions of margin lending in China. The probability of negative return under the condition that collaterals are…

Risk Management · Quantitative Finance 2011-01-21 Guanghui Huang , Jianping Wan , Cheng Chen

We consider the risk sharing problem for capital requirements induced by capital adequacy tests and security markets. The agents involved in the sharing procedure may be heterogeneous in that they apply varying capital adequacy tests and…

Risk Management · Quantitative Finance 2018-09-27 Felix-Benedikt Liebrich , Gregor Svindland

Following several episodes of financial market turmoil in recent decades, changes in systemic risk have drawn growing attention. Therefore, we propose surveillance schemes for systemic risk, which allow to detect misspecified systemic risk…

Econometrics · Economics 2026-01-14 Timo Dimitriadis , Yannick Hoga

In signed networks, each edge is labeled as either positive or negative. The edge sign captures the polarity of a relationship. Balance of signed networks is a well-studied property in graph theory. In a balanced (sub)graph, the vertices…

Social and Information Networks · Computer Science 2020-10-22 Kartik Sharma , Iqra Altaf Gillani , Sourav Medya , Sayan Ranu , Amitabha Bagchi

A clearing member of a Central Counterparty (CCP) is exposed to losses on their default fund and initial margin contributions. Such losses can be incurred whenever the CCP has insufficient funds to unwind the portfolio of a defaulting…

Risk Management · Quantitative Finance 2012-05-09 Matthias Arnsdorf

As it is known in the finance risk and macroeconomics literature, risk-sharing in large portfolios may increase the probability of creation of default clusters and of systemic risk. We review recent developments on mathematical and…

Risk Management · Quantitative Finance 2015-02-20 Konstantinos Spiliopoulos

Exploring measures to improve financial networks and mitigate systemic risks is an ongoing challenge. We study claims trading, a notion defined in Chapter 11 of the U.S. Bankruptcy Code. For a bank $v$ in distress and a trading partner $w$,…

Computer Science and Game Theory · Computer Science 2025-02-11 Martin Hoefer , Lars Huth , Lisa Wilhelmi

Historically, the banking multiplier has been in a range of 4 to 100, with 25% to 1% reserve ratios at most layers of the banking system encompassing the majority of its range in recent centuries. Here it is shown that multipliers over 1…

General Finance · Quantitative Finance 2014-01-30 Brian P. Hanley

This paper considers an insurer with two collaborating business lines that must make three critical decisions: (1) dividend payout, (2) a combination of proportional and excess-of-loss reinsurance coverage, and (3) capital injection between…

Optimization and Control · Mathematics 2025-11-17 Tim J. Boonen , Engel John C. Dela Vega

All the financial practitioners are working in incomplete markets full of unhedgeable risk-factors. Making the situation worse, they are only equipped with the imperfect information on the relevant processes. In addition to the market risk,…

Computational Finance · Quantitative Finance 2014-07-29 Masaaki Fujii , Akihiko Takahashi

The global balance index is used in the network literature to quantify how balanced a signed network is. In this paper we show that the global balance index of financial correlation networks can be used as a systemic risk measure. We define…

Risk Management · Quantitative Finance 2025-06-04 Paolo Bartesaghi , Fernando Diaz-Diaz , Rosanna Grassi , Pierpaolo Uberti

Money laundering is a global problem that concerns legitimizing proceeds from serious felonies (1.7-4 trillion euros annually) such as drug dealing, human trafficking, or corruption. The anti-money laundering systems deployed by financial…

Machine Learning · Computer Science 2022-06-20 Ahmad Naser Eddin , Jacopo Bono , David Aparício , David Polido , João Tiago Ascensão , Pedro Bizarro , Pedro Ribeiro

We consider a new type of optimal stopping problems where the absorbing boundary moves as the state process X attains new maxima S. More specifically, we set the absorbing boundary as S-b where b is a certain constant. This problem is…

Probability · Mathematics 2015-04-15 Masahiko Egami , Tadao Oryu

We adress the maximization problem of expected utility from terminal wealth. The special feature of this paper is that we consider a financial market where the price process of risky assets can have a default time. Using dynamic…

Computational Finance · Quantitative Finance 2010-07-13 Thomas Lim , Marie-Claire Quenez

We provide an overview of the relationship between financial networks and systemic risk. We present a taxonomy of different types of systemic risk, differentiating between direct externalities between financial organizations (e.g.,…

Risk Management · Quantitative Finance 2020-12-24 Matthew O. Jackson , Agathe Pernoud

A theoretical model of systemic-risk propagation of financial market is analyzed for stability. The state equation is an unsteady diffusion equation with a nonlinear logistic growth term, where the diffusion process captures the spread of…

Mathematical Finance · Quantitative Finance 2025-11-18 Jiacheng Wu
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