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We propose a simple model of the banking system incorporating a game feature where the evolution of monetary reserve is modeled as a system of coupled Feller diffusions. The Markov Nash equilibrium generated through minimizing the linear…

Mathematical Finance · Quantitative Finance 2026-05-22 Li-Hsien Sun

Much research in systemic risk is focused on default contagion. While this demands an understanding of valuation, fewer articles specifically deal with the existence, the uniqueness, and the computation of equilibrium prices in structural…

Computational Finance · Quantitative Finance 2015-01-30 Johannes Hain , Tom Fischer

This paper proposes a novel energy sharing mechanism for prosumers who can produce and consume. Different from most existing works, the role of individual prosumer as a seller or buyer in our model is endogenously determined. Several…

Optimization and Control · Mathematics 2019-10-08 Yue Chen , Shengwei Mei , Fengyu Zhou , Steven H. Low , Wei Wei , Feng Liu

The wide deployment of distributed renewable energy sources and electric vehicles can help mitigate climate crisis. This necessitates new business models in the power sector to hedge against uncertainties while imposing a strong coupling…

Systems and Control · Electrical Eng. & Systems 2024-02-05 Dongxiang Yan , Tongxin Li , Changhong Zhao , Han Wang , Yue Chen

The purpose of this paper is to advance the understanding of the conditions that give rise to flash crash contagion, particularly with respect to overlapping asset portfolio crowding. To this end, we designed, implemented, and assessed a…

Trading and Market Microstructure · Quantitative Finance 2019-02-01 James Paulin , Anisoara Calinescu , Michael Wooldridge

We analyze how interdependencies between organizations in financial networks can lead to multiple possible equilibrium outcomes. A multiplicity arises if and only if there exists a certain type of dependency cycle in the network that allows…

Computer Science and Game Theory · Computer Science 2023-07-07 Matthew O. Jackson , Agathe Pernoud

We consider a network of bank holdings, where every holding has two subsidiaries of different types. A subsidiary can trade with another holding's subsidiary of the same type. Holdings support their subsidiaries up to a certain level when…

Risk Management · Quantitative Finance 2024-03-11 Maxim Bichuch , Nils Detering

We study surplus division in network constrained bilateral matching markets with transferable utility. We introduce a new solution concept, the credible bargaining solution, which refines stability by requiring that, for each matched pair…

Theoretical Economics · Economics 2026-01-15 Kang Rong , Qianfeng Tang

This work is concerned with the application of game theoretic principles to model competition between demand response aggregators for selling excess energy stored in electrochemical storage devices directly to other aggregators in a power…

Systems and Control · Computer Science 2016-12-05 Mahdi Motalleb , Reza Ghorbani

We study a simple, solvable model that allows us to investigate effects of credit contagion on the default probability of individual firms, in both portfolios of firms and on an economy wide scale. While the effect of interactions may be…

Physics and Society · Physics 2008-12-02 J. P. L. Hatchett , R. Kuehn

We study financial systems from a game-theoretic standpoint. A financial system is represented by a network, where nodes correspond to firms, and directed labeled edges correspond to debt contracts between them. The existence of cycles in…

Computer Science and Game Theory · Computer Science 2021-07-23 Panagiotis Kanellopoulos , Maria Kyropoulou , Hao Zhou

Systemic risk measures aggregate the risks from multiple financial institutions to find system-wide capital requirements. Though much attention has been given to assessing the level of systemic risk, less has been given to allocating that…

Risk Management · Quantitative Finance 2025-11-24 Çağın Ararat , Zachary Feinstein

The global crisis of 2008 provoked a heightened interest among scientists to study the phenomenon, its propagation and negative consequences. The process of modelling the spread of a virus is commonly used in epidemiology. Conceptually, the…

Physics and Society · Physics 2019-08-12 Olena Kostylenko , Helena Sofia Rodrigues , Delfim F. M. Torres

The model of this paper gives a convenient strategy that a bank in the federal funds market can use in order to maximize its profit in a contemporaneous reserve requirement (CRR) regime. The reserve requirements are determined by the demand…

Pricing of Securities · Quantitative Finance 2016-05-26 Traian A. Pirvu , Elena Cristina Canepa

We propose a model of inter-bank lending and borrowing which takes into account clearing debt obligations. The evolution of log-monetary reserves of $N$ banks is described by coupled diffusions driven by controls with delay in their drifts.…

Mathematical Finance · Quantitative Finance 2016-07-22 Rene Carmona , Jean-Pierre Fouque , Seyyed Mostafa Mousavi , Li-Hsien Sun

As the number of prosumers with distributed energy resources (DERs) grows, the conventional centralized operation scheme may suffer from conflicting interests, privacy concerns, and incentive inadequacy. In this paper, we propose an energy…

Computer Science and Game Theory · Computer Science 2022-06-29 Yue Chen , Changhong Zhao , Steven H. Low , Adam Wierman

This work develops an agent-based model for the study of how the leverage through the use of repurchase agreements can function as a mechanism for the propagation and amplification of financial shocks in a financial system. Based on the…

Computational Finance · Quantitative Finance 2017-03-23 Leonardo dos Santos Pinheiro , Flavio Codeco COelho

The interconnectedness of financial institutions affects instability and credit crises. To quantify systemic risk we introduce here the PD model, a dynamic model that combines credit risk techniques with a contagion mechanism on the network…

Computational Finance · Quantitative Finance 2018-04-10 Daniele Petrone , Vito Latora

In this paper the problem of optimal derivative design, profit maximization and risk minimization under adverse selection when multiple agencies compete for the business of a continuum of heterogenous agents is studied. The presence of ties…

Trading and Market Microstructure · Quantitative Finance 2011-07-06 Ulrich Horst , Santiago Moreno-Bromberg

We study a game-theoretic variant of the maximum circulation problem. In a flow allocation game, we are given a directed flow network. Each node is a rational agent and can strategically allocate any incoming flow to the outgoing edges.…

Computer Science and Game Theory · Computer Science 2023-12-22 Nils Bertschinger , Martin Hoefer , Daniel Schmand