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We consider the problem of governing systemic risk in a banking system model. The banking system model consists in an initial value problem for a system of stochastic differential equations whose dependent variables are the log-monetary…

Risk Management · Quantitative Finance 2018-12-19 Lorella Fatone , Francesca Mariani

Understanding how climate and innovation policies perform during socio-technical transitions remains a central challenge in innovation studies. Empirical analyses of the relationship between economic growth and carbon emissions continue to…

Theoretical Economics · Economics 2026-01-06 Ngueuleweu Tiwang Gildas

General equilibrium, the cornerstone of modern economics and finance, rests on assumptions many markets do not meet. Spectrum auctions, electricity markets, and cap-and-trade programs for resource rights often feature non-convexities in…

Theoretical Economics · Economics 2023-05-11 Jacob K Goeree

In economic literature, economic complexity is typically approximated on the basis of an economy's gross export structure. However, in times of ever increasingly integrated global value chains, gross exports may convey an inaccurate image…

General Economics · Economics 2020-12-11 Philipp Koch

The problem of allocating scarce items to individuals is an important practical question in market design. An increasingly popular set of mechanisms for this task uses the concept of market equilibrium: individuals report their preferences,…

Computer Science and Game Theory · Computer Science 2019-12-11 Riley Murray , Christian Kroer , Alex Peysakhovich , Parikshit Shah

The electronic structure of heavy elements, when described in a space-time which the metric is affected by the electromagnetic interaction, presents instabilities. These instabilities increase with the atomic number, and above a critical…

General Physics · Physics 2007-05-23 C. C. Barros

We analyze the relative price change of assets starting from basic supply/demand considerations subject to arbitrary motivations. The resulting stochastic differential equation has coefficients that are functions of supply and demand. We…

Theoretical Economics · Economics 2020-08-26 Carey Caginalp , Gunduz Caginalp

Synchronization is the major obstacle to scalability in distributed computing. Concurrent operations on the shared data engage in synchronization when they encounter a \emph{conflict}, i.e., their effects depend on the order in which they…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-17 Petr Kuznetsov , Nathan Josia Schrodt

We propose a pseudo-market solution to resource allocation problems subject to constraints. Our treatment of constraints is general: including bihierarchical constraints due to considerations of diversity in school choice, or scheduling in…

Theoretical Economics · Economics 2020-11-09 Federico Echenique , Antonio Miralles , Jun Zhang

Liberalization of electricity markets has increasingly created the need for understanding the volatility and correlation structure between electricity and financial markets. This work reveals the existence of structural changes in…

Statistical Finance · Quantitative Finance 2017-08-24 Panagiotis G. Papaioannou , George P. Papaioannou , Kostas Siettos , Akylas Stratigakos , Christos Dikaiakos

In this study, we develop a theoretical model of strategic equilibrium bidding and price-setting behaviour by heterogeneous and boundedly rational electricity producers and a grid operator in a single electricity market under uncertain…

Physics and Society · Physics 2017-04-27 Jobst Heitzig , Hildegard Meyer-Ortmanns , Sabine Auer

Beyond its obvious macro-economic relevance, fiat money has important micro-economic implications. They matter for addressing No. 8 in Smale's "Mathematical Problems for the Next Century": extend the mathematical model of general…

Economics · Quantitative Finance 2017-01-19 Gesine A. Steudle , Saini Yang , Carlo C. Jaeger

Why is ``worthless'' fiat money generally accepted as payment for goods and services? In equilibrium theory, the value of money is generally not determined: the number of equations is one less than the number of unknowns, so only relative…

Statistical Mechanics · Physics 2011-04-12 Per Bak , Simon F. Norrelykke , Martin Shubik

In dynamic capital structure models with an investor break-even condition, the firm's Bellman equation may not generate a contraction mapping, so the standard existence and uniqueness conditions do not apply. First, we provide an example…

General Finance · Quantitative Finance 2022-02-15 Hong Chen , Murray Zed Frank

This paper considers a class of stochastic control problems with implicitly defined objective functions, which are the sources of time-inconsistency. We study the closed-loop equilibrium solutions in a general controlled diffusion…

Optimization and Control · Mathematics 2023-12-29 Zongxia Liang , Jianming Xia , Keyu Zhang

In this chapter, an input-output economic model with multiple interactive economic systems is considered. The model captures the multi-dimensional nature of the economic sectors or industries in each economic system, the interdependencies…

Systems and Control · Electrical Eng. & Systems 2025-07-29 Minh Hoang Trinh , Nhat-Minh Le-Phan , Hyo-Sung Ahn

Although classical economic theory is based on the concept of stable equilibrium, real economic systems appear to be always out of equilibrium. Indeed, they share many of the dynamical features of other complex systems, e.g., ecological…

Physics and Society · Physics 2010-11-16 Sitabhra Sinha

This paper investigates whether a financial system can be made more stable if financial institutions share risk by exchanging contingent convertible (CoCo) debt obligations. The question is framed in a financial network model of debt and…

Risk Management · Quantitative Finance 2022-10-27 Zachary Feinstein , T. R. Hurd

This paper investigates how the cost of public debt shapes fiscal policy and its effect on the economy. Using U.S. historical data, I show that when servicing the debt creates a fiscal burden, the government responds to spending shocks by…

General Economics · Economics 2023-09-15 Venance Riblier

This paper focuses on the operation of an electricity market that accounts for participants that bid at a sub-minute timescale. To that end, we model the market-clearing process as a dynamical system, called market dynamics, which is…

Optimization and Control · Mathematics 2021-12-14 Pengcheng You , Yan Jiang , Enoch Yeung , Dennice F. Gayme , Enrique Mallada