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Human behavior is a dynamic process that evolves with experience. Understanding the evolution of individual's risk propensity is critical to design public health interventions to propitiate the adoption of better biosecurity protocols and…

Most work in mechanism design assumes that buyers are risk neutral; some considers risk aversion arising due to a non-linear utility for money. Yet behavioral studies have established that real agents exhibit risk attitudes which cannot be…

Computer Science and Game Theory · Computer Science 2018-03-13 Shuchi Chawla , Kira Goldner , J. Benjamin Miller , Emmanouil Pountourakis

This paper empirically analyzes how individual characteristics are associated with risk aversion, loss aversion, time discounting, and present bias. To this end, we conduct a large-scale demographically representative survey across eight…

General Economics · Economics 2022-05-12 Thomas Meissner , Xavier Gassmann , Corinne Faure , Joachim Schleich

The price fluctuations in the financial markets are the result of the individual operations by many individual investors. However for many decades the finacial theory did not use directly this "microscopic representation". The difficulties…

adap-org · Physics 2009-10-31 Sorin Solomon

The high-order complexity of human behaviour is likely the root cause of extreme difficulty in financial market projections. We consider that behavioural simulation can unveil systemic dynamics to support analysis. Simulating diverse human…

Trading and Market Microstructure · Quantitative Finance 2025-06-03 Cheng Wang , Chuwen Wang , Shirong Zeng , Jianguo Liu , Changjun Jiang

Probabilistic risk aversion, defined through quasi-convexity in probabilistic mixtures, is a common useful property in decision analysis. We study a general class of non-monotone mappings, called the generalized rank-dependent functions,…

Theoretical Economics · Economics 2024-09-30 Ruodu Wang , Qinyu Wu

The purpose of this research article is to discover how the econophysics analysis can complement the econometrics models in application to the risk management in the central banks and financial institutions, operating within the nonlinear…

General Finance · Quantitative Finance 2012-11-20 Dimitri O. Ledenyov , Viktor O. Ledenyov

Boltzmann-Gibbs statistical mechanics is based on the entropy $S_{BG}=-k \sum_{i=1}^W p_i \ln p_i$. It enables a successful thermal approach of ubiquitous systems, such as those involving short-range interactions, markovian processes, and,…

Statistical Mechanics · Physics 2009-11-10 Constantino Tsallis , Edgardo Brigatti

The family of admissible positions in a transaction costs model is a random closed set, which is convex in case of proportional transaction costs. However, the convexity fails, e.g. in case of fixed transaction costs or when only a finite…

Risk Management · Quantitative Finance 2021-01-15 Andreas Haier , Ilya Molchanov

Nontransitive choices have long been an area of curiosity within economics. However, determining whether nontransitive choices represent an individual's preference is a difficult task since choice data is inherently stochastic. This paper…

Theoretical Economics · Economics 2023-05-01 Mogens Fosgerau , John Rehbeck

In this paper we study the asymptotic behavior of a Boltzmann type price formation model, which describes the trading dynamics in a financial market. In many of these markets trading happens at high frequencies and low transactions costs.…

Analysis of PDEs · Mathematics 2013-12-05 Martin Burger , Luis Caffarelli , Peter A. Markowich , Marie-Therese Wolfram

We provide a unifying way to analyze how risk aversion changes bidding in auctions by asking which bids become more attractive as bidders become more risk averse. In first-price auctions, under two payoff conditions--winning is never worse…

Theoretical Economics · Economics 2026-03-11 Marilyn Pease , Mark Whitmeyer

In complex systems, many different parts interact in non-obvious ways. Traditional research focuses on a few or a single aspect of the problem so as to analyze it with the tools available. To get a better insight of phenomena that emerge…

Multiagent Systems · Computer Science 2015-04-03 Klaus Jaffe

When dealing with certain kind of complex phenomena the theoretician may face some difficulties -- typically a failure to have access to information for properly characterize the system -- for applying the full power of the standard…

Statistical Mechanics · Physics 2007-05-23 Roberto Luzzi , Áurea R. Vasconcellos , J. Galvão Ramos

In this paper, we study properties of certain risk measures associated with acceptance sets. These sets describe regulatory preconditions that have to be fulfilled by financial institutions to pass a given acceptance test. If the financial…

Optimization and Control · Mathematics 2021-10-07 Marcel Marohn , Christiane Tammer

In this paper we present an interacting-agent model of stock markets. We describe a stock market through an Ising-like model in order to formulate the tendency of traders getting to be influenced by the other traders' investment attitudes…

Physics and Society · Physics 2013-09-11 Taisei Kaizoji

Ergodicity, this is to say, dynamics whose time averages coincide with ensemble averages, naturally leads to Boltzmann-Gibbs (BG) statistical mechanics, hence to standard thermodynamics. This formalism has been at the basis of an enormous…

Statistical Mechanics · Physics 2009-11-10 Constantino Tsallis , Celia Anteneodo , Lisa Borland , Roberto Osorio

Modern evolvements of the technologies have been leading to a profound influence on the financial market. The introduction of constituents like Exchange-Traded Funds, and the wide-use of advanced technologies such as algorithmic trading,…

Statistical Finance · Quantitative Finance 2021-08-20 Liao Zhu

We discuss the asymptotic behaviour of risk-based indifference prices of European contingent claims in discrete-time financial markets under volatility uncertainty as the number of intermediate trading periods tends to infinity. The…

Mathematical Finance · Quantitative Finance 2024-11-04 Jonas Blessing , Michael Kupper , Alessandro Sgarabottolo

We consider a two-sided singular stochastic control problem with a risk-sensitive ergodic criterion. In particular, we consider a stochastic system whose uncontrolled dynamics are modelled by a linear diffusion. The control that can be…

Optimization and Control · Mathematics 2025-09-15 Justin Gwee , Mihail Zervos