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The investor is interested in the expected return and he is also concerned about the risk and the uncertainty assumed by the investment. One of the most popular concepts used to measure the risk and the uncertainty is the variance and/or…

Statistical Finance · Quantitative Finance 2008-12-02 Andreia Dionisio , Rui Menezes , Diana A. Mendes

This work investigates a modified Schelling model within the scope and aims of Social Physics. The main purpose is to see if how the concepts of potential and kinetic energy can be represented within a computational sociological system. A…

Physics and Society · Physics 2023-09-14 George-Rafael Domenikos , Tyler Laurie , Sahar Awaji , Alexander V. Mantzaris

A game-theoretic model of scrip (artificial currency) systems is analyzed. It is shown that relative entropy can be used to characterize the distribution of agent wealth when all agents use threshold strategies---that is, they volunteer to…

Computer Science and Game Theory · Computer Science 2014-09-26 Ian A. Kash , Eric J. Friedman , Joseph Y. Halpern

The Theil index is much used in economy and finance; it looks like the Shannon entropy, but pertains to event values rather than to their probabilities. Any time series can be remapped through the Theil index. Correlation coefficients can…

Data Analysis, Statistics and Probability · Physics 2012-09-04 Marcel Ausloos , Janusz Miskiewicz

Entropy measures of probability distributions are widely used measures in ecology, biology, genetics, and in other fields, to quantify species diversity of a community. Unfortunately, entropy-based diversity indices, or diversity indices…

Populations and Evolution · Quantitative Biology 2014-08-14 Karim T. Abou-Moustafa

In this paper, we investigate the economic mobility in some money transfer models which have been applied into the research on wealth distribution. We demonstrate the mobility by recording the time series of agents' ranks and observing…

Physics and Society · Physics 2009-11-11 Ning Ding , Ning Xi , Yougui Wang

The time variation of entropy, as an alternative to the variance, is proposed as a measure of the diffusion rate. It is shown that for linear and time-translationally invariant systems having a large-time limit for the density, at large…

Statistical Mechanics · Physics 2013-05-24 Amir Aghamohammadi , Amir H. Fatollahi , Mohammad Khorrami , Ahmad Shariati

We introduce an epistemic information measure between two data streams, that we term $influence$. Closely related to transfer entropy, the measure must be estimated by epistemic agents with finite memory resources via sampling accessible…

How can we limit wealth disparities while stimulating economic flows in sustainable societies? To examine the link between these concepts, we propose an econophysics asset exchange model with the surplus stock of the wealthy. The wealthy…

General Economics · Economics 2021-11-08 Takeshi Kato , Yoshinori Hiroi

Entropy has emerged as a dynamic, interdisciplinary, and widely accepted quantitative measure of uncertainty across different disciplines. A unified understanding of entropy measures, supported by a detailed review of their theoretical…

Probability · Mathematics 2025-03-21 Naveen Kumar , Ambesh Dixit , Vivek Vijay

The software Randentropy is designed to estimate inequality in a random system where several individuals interact moving among many communities and producing dependent random quantities of an attribute. The overall inequality is assessed by…

Statistical Finance · Quantitative Finance 2021-03-17 Guglielmo D'Amico , Stefania Scocchera , Loriano Storchi

We investigate entropy as a financial risk measure. Entropy explains the equity premium of securities and portfolios in a simpler way and, at the same time, with higher explanatory power than the beta parameter of the capital asset pricing…

Pricing of Securities · Quantitative Finance 2015-01-07 Mihaly Ormos , David Zibriczky

An axiomatic approach to macroeconomics based on the mathematical structure of thermodynamics is presented. It deduces relations between aggregate properties of an economy, concerning quantities and flows of goods and money, prices and the…

General Economics · Economics 2025-06-18 N. J. Chater , R. S. MacKay

This paper presents a novel method for finding features in the analysis of variable distributions stemming from time series. We apply the methodology to the case of submitted and accepted papers in peer-reviewed journals. We provide a…

Digital Libraries · Computer Science 2019-10-15 Marcel Ausloos , Olgica Nedic , Aleksandar Dekanski

This paper investigates the emergence of wealth inequality through a minimalist kinetic exchange model that incorporates two fundamental economic features: fixed-amount transactions and hard budget constraints. In contrast to the maximum…

Physics and Society · Physics 2025-11-12 Jihyuan Liuh

Any economic agent constituting the monetary economy maintains the activity of monetary flow equilibration for fulfilling the condition of monetary flow continuity in the record, except at the central bank. At the same time, monetary flow…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Koichiro Matsuno

We derive differential equations for the flow of entanglement entropy as a function of the metric and the couplings of the theory. The variation of the universal part of entanglement entropy under a local Weyl transformation is related to…

High Energy Physics - Theory · Physics 2014-12-31 Vladimir Rosenhaus , Michael Smolkin

This thesis applies entropy as a model independent measure to address three research questions concerning financial time series. In the first study we apply transfer entropy to drawdowns and drawups in foreign exchange rates, to study their…

Statistical Finance · Quantitative Finance 2018-07-26 Stephan Schwill

Information is a valuable asset for agents in socio-economic systems, a significant part of the information being entailed into the very network of connections between agents. The different interlinkages patterns that agents establish may,…

Social and Information Networks · Computer Science 2018-07-20 Paolo Barucca , Guido Caldarelli , Tiziano Squartini

This paper proposes that the mathematical relationship between an entropy distribution and its limit offers some new insight into system performance. This relationship is used to quantify variation among the entities of a system, where…

Information Theory · Computer Science 2007-07-16 Ken Krechmer
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