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In this work, we begin the study of a new class of dynamical systems determined by interval maps generated by the symbolic action of erasing substitution rules. We do this by discussing in some detail the geometric, analytical, dynamical…

Dynamical Systems · Mathematics 2022-07-27 Alessandro Della Corte , Stefano Isola , Riccardo Piergallini

Time or money? That is a question! In this paper, we consider this dilemma in the pricing regime, in which we try to find the optimal pricing scheme for identical items with heterogenous time-sensitive buyers. We characterize the…

Computer Science and Game Theory · Computer Science 2024-02-23 Zhengyang Liu , Liang Shan , Zihe Wang

Sustainability is the key concept in the management of products that reached their end-of-life. We propose that end-of-life products have -- besides their value as recyclable assets -- additional value for producer and consumer. We argue…

Other Computer Science · Computer Science 2020-08-04 Jannis Walk , Niklas Kühl , Jonathan Schäfer

We prove the Fundamental Theorem of Asset Pricing for a discrete time financial market where trading is subject to proportional transaction cost and the asset price dynamic is modeled by a family of probability measures, possibly…

Probability · Mathematics 2015-09-01 Erhan Bayraktar , Yuchong Zhang

Asset liquidity in modern financial markets is a key but elusive concept. A market is often said to be liquid when the prevailing structure of transactions provides a prompt and secure link between the demand and supply of assets, thus…

Trading and Market Microstructure · Quantitative Finance 2011-12-30 Alexandros Gabrielsen , Massimiliano Marzo , Paolo Zagaglia

We introduce a simple model for addressing the controversy in the study of financial systems, sometimes taken as brownian-like processes and other as critical systems with fluctuations of arbitrary magnitude. The model considers a…

General Finance · Quantitative Finance 2013-01-01 João P. da Cruz , Pedro G. Lind

Automation raises productivity and reduces paid human labor, but it also reallocates income and ownership claims. This paper studies that tradeoff in a static benchmark and in a stationary heterogeneous-agent general equilibrium. Firms…

General Economics · Economics 2026-05-07 Erhan Bayraktar

We consider the insurance company as a physical system which is immersed in its environment (the financial market). The insurer company interacts with the market by exchanging the money through the payments for loss claims and receiving the…

Statistical Mechanics · Physics 2008-12-10 Amir H. Darooneh

This paper introduces a maximum likelihood estimator of the value of job amenities and labor productivity in a single matching market based on the observation of equilibrium matches and wages. The estimation procedure simultaneously fits…

Econometrics · Economics 2023-01-31 Arnaud Dupuy , Alfred Galichon

The effectiveness of utility-maximization techniques for portfolio management relies on our ability to estimate correctly the parameters of the dynamics of the underlying financial assets. In the setting of complete or incomplete financial…

Portfolio Management · Quantitative Finance 2008-12-10 Kasper Larsen , Gordan Zitkovic

When uncertainty is modelled by a set of non-dominated and non-compact probability measures, a notion of essential supremum for a family of real-valued functions is developed in terms of upper semi-analytic functions. We show how the…

Mathematical Finance · Quantitative Finance 2024-03-19 Laurence Carassus

Ergodicity describes an equivalence between the expectation value and the time average of observables. Applied to human behaviour, ergodic theories of decision-making reveal how individuals should tolerate risk in different environments. To…

In this review article we explore several recent advances in the quantitative modeling of financial markets. We begin with the Efficient Markets Hypothesis and describe how this controversial idea has stimulated a number of new directions…

adap-org · Physics 2009-10-31 J. Doyne Farmer , Andrew W. Lo

Scaling properties in financial fluctuations are reviewed from the standpoint of statistical physics. We firstly show theoretically that the balance of demand and supply enhances fluctuations due to the underlying phase transition…

Statistical Mechanics · Physics 2008-12-10 H. Takayasu , M. Takayasu , M. P. Okazaki , K. Marumo , T. Shimizu

Breakability rate of fragile item depends on the accumulated stress of heaped stock level. So breakablility rate can be considered as dependent parameter of stock variable. The unit production cost is a function of production rate and also…

Optimization and Control · Mathematics 2020-06-03 J. N. Roul , K. Maity , S. Kar , M. Maiti

In life insurance, life tables are used to estimate the survival distribution of individuals from a given population. However, these tables only provide survival probabilities at integer ages but no information about the distribution of…

Risk Management · Quantitative Finance 2026-03-19 Jean-Loup Dupret , Edouard Motte

We study the Merton problem of optimal consumption-investment for the case of two investors sharing a final wealth. The typical example would be a husband and wife sharing a portfolio looking to optimize the expected utility of consumption…

Portfolio Management · Quantitative Finance 2019-01-03 Adrien Nguyen Huu , Oumar Mbodji , A Nguyen-Huu , Traian A. Pirvu

We study the problem of optimal long term portfolio selection with a view to beat a benchmark. Two kinds of objectives are considered. One concerns the probability of outperforming the benchmark and seeks either to minimise the decay rate…

Probability · Mathematics 2017-12-04 Anatolii A. Puhalskii

This paper studies the problem of optimal investment in incomplete markets, robust with respect to stopping times. We work on a Brownian motion framework and the stopping times are adapted to the Brownian filtration. Robustness can only be…

Probability · Mathematics 2008-12-02 Traian A Pirvu , Ulrich G Haussmann

Management of the portfolios containing low liquidity assets is a tedious problem. The buyer proposes the price that can differ greatly from the paper value estimated by the seller, the seller, on the other hand, can not liquidate his…

Portfolio Management · Quantitative Finance 2020-09-28 Ljudmila A. Bordag , Ivan P. Yamshchikov , Dmitry Zhelezov
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