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We study how the phenomenon of contagion can take place in the network of the world's stock exchanges due to the behavioral trait "blindeness to small changes". On large scale individual, the delay in the collective response may…

General Finance · Quantitative Finance 2016-02-25 Lucia Bellenzier , Jørgen Vitting Andersen , Giulia Rotundo

We investigate stochastic differential games of optimal trading comprising a finite population. There are market frictions in the present framework, which take the form of stochastic permanent and temporary price impacts. Moreover,…

Mathematical Finance · Quantitative Finance 2021-02-09 David Evangelista , Yuri Thamsten

We present a network-based framework for simulating systemic risk that considers shock propagation in banking systems. In particular, the framework allows the modeller to reflect a top-down framework where a shock to one bank in the system…

Risk Management · Quantitative Finance 2018-11-13 Nadine M Walters , Conrad Beyers , Gusti van Zyl , Rolf van den Heever

The process of contagiousness spread modelling is well-known in epidemiology. However, the application of spread modelling to banking market is quite recent. In this work, we present a system of ordinary differential equations, simulating…

Optimization and Control · Mathematics 2018-02-19 Olena Kostylenko , Helena Sofia Rodrigues , Delfim F. M. Torres

We propose a model for the credit and liquidity risks faced by clearing members of Central Counterparty Clearing houses (CCPs). This model aims to capture the features of: gap risk; feedback between clearing member default, market…

Mathematical Finance · Quantitative Finance 2016-04-04 Russell Barker , Andrew Dickinson , Alex Lipton , Rajeev Virmani

We consider the problem of optimal investment and consumption in a class of multidimensional jump-diffusion models in which asset prices are subject to mutually exciting jump processes. This captures a type of contagion where each downward…

Portfolio Management · Quantitative Finance 2012-10-08 Yacine Aït-Sahalia , T. R. Hurd

Continuous and discrete models for firefighting problems are well-studied in Theoretical Computer Science. We introduce a new, discrete, and more general framework based on a hexagonal cell graph to study firefighting problems in varied…

Computational Geometry · Computer Science 2019-11-26 Rolf Klein , David Kübel , Elmar Langetepe , Jörg-Rüdiger Sack , Barbara Schwarzwald

An existing challenge in power systems is the implementation of optimal demand management through dynamic pricing. This paper encompasses the design, analysis and implementation of a novel on-line pricing scheme based on coalitional game…

Optimization and Control · Mathematics 2024-07-16 Fernando Genis Mendoza , Pablo R Baldivieso Monasterios , Dario Bauso , George Konstantopoulos

We consider a game-theoretic model where individuals compete over a shared failure-prone system or resource. We investigate the effectiveness of a taxation mechanism in controlling the utilization of the resource at the Nash equilibrium…

Computer Science and Game Theory · Computer Science 2020-12-18 Ashish R. Hota , Shreyas Sundaram

One key in real-life Nash equilibrium applications is to calibrate players' cost functions. To leverage the approximation ability of neural networks, we proposed a general framework for optimizing and learning Nash equilibrium using neural…

Computer Science and Game Theory · Computer Science 2024-09-04 Di Zhang , Wei Gu , Qing Jin

An asset network systemic risk (ANWSER) model is presented to investigate the impact of how shadow banks are intermingled in a financial system on the severity of financial contagion. Particularly, the focus of this study is the impact of…

Risk Management · Quantitative Finance 2014-10-21 Yoshiharu Maeno , Kenji Nishiguchi , Satoshi Morinaga , Hirokazu Matsushima

We introduce a new mean-field game framework to analyze the impact of carbon pricing in a multi-sector economy with defaultable firms. Each sector produces a homogeneous good, with its price endogenously determined through market clearing.…

General Economics · Economics 2025-07-16 Zorana Grbac , Simone Pavarana , Thorsten Schmidt , Peter Tankov

In this paper, we develop a mean-field game model for SEIR epidemics on heterogeneous contact networks, where individuals choose state-dependent contact effort to balance infection losses against the social and economic costs of isolation.…

Populations and Evolution · Quantitative Biology 2026-03-06 Weinan Wang

The Hotelling game consists of n servers each choosing a point on the line segment, so as to maximize the amount of clients it attracts. Clients are uniformly distributed along the line, and each client buys from the closest server. In this…

Computer Science and Game Theory · Computer Science 2019-07-16 Avi Cohen , David Peleg

We develop a financial market model in which a large population of firms chooses dynamic emission strategies under climate transition risk, interacting with both environmentally concerned and neutral investors. Firms face a trade-off…

Mathematical Finance · Quantitative Finance 2026-02-24 Pierre Lavigne , Peter Tankov

The large majority of risk-sharing transactions involve few agents, each of whom can heavily influence the structure and the prices of securities. This paper proposes a game where agents' strategic sets consist of all possible sharing…

Risk Management · Quantitative Finance 2016-07-11 Michail Anthropelos , Constantinos Kardaras

In this paper, we analyze Nash equilibria between electricity producers selling their production on an electricity market and buying CO2 emission allowances on an auction carbon market. The producers' strategies integrate the coupling of…

Mathematical Finance · Quantitative Finance 2015-01-15 Mireille Bossy , Nadia Maizi , Odile Pourtallier

In the context of micro-finance, a group of individuals undertake business projects that may interfere with one another. A contagious default happens if one person's project failure leads to the default of another group member. In this…

Mathematical Finance · Quantitative Finance 2026-04-01 Héctor Jasso-Fuentes , Alejandra Quintos , Xinta Yang

In this paper, we consider the problem of network design on network games. We study the conditions on the adjacency matrix of the underlying network to design a game such that the Nash equilibrium coincides with the social optimum. We…

Computer Science and Game Theory · Computer Science 2022-09-13 Abhishek Shende , Deepanshu Vasal , Sriram Vishwanath

We consider a model of a reinsurance market consisting of multiple insurers on the demand side and multiple reinsurers on the supply side, thereby providing a unifying framework and extension of the recent literature on optimality and…

Risk Management · Quantitative Finance 2025-06-10 Maria Andraos , Mario Ghossoub , Michael B. Zhu