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Exponential distribution is ubiquitous in the framework of multi-agent systems. Usually, it appears as an equilibrium state in the asymptotic time evolution of statistical systems. It has been explained from very different perspectives. In…

Adaptation and Self-Organizing Systems · Physics 2011-03-10 Ricardo Lopez-Ruiz , Jose-Luis Lopez , Xavier Calbet

A recent line of work, starting with Beigman and Vohra (2006) and Zadimoghaddam and Roth (2012), has addressed the problem of {\em learning} a utility function from revealed preference data. The goal here is to make use of past data…

Computer Science and Game Theory · Computer Science 2014-07-31 Maria-Florina Balcan , Amit Daniely , Ruta Mehta , Ruth Urner , Vijay V. Vazirani

This paper examines an optimal investment problem in a continuous-time (essentially) complete financial market with a finite horizon. We deal with an investor who behaves consistently with principles of Cumulative Prospect Theory, and whose…

Portfolio Management · Quantitative Finance 2014-03-18 Miklós Rásonyi , Andrea Meireles Rodrigues

Asymptotic optimality is a key theoretical property in model averaging. Due to technical difficulties, existing studies rely on restricted weight sets or the assumption that there is no true model with fixed dimensions in the candidate set.…

Statistics Theory · Mathematics 2024-11-15 Wenchao Xu , Xinyu Zhang

We propose a set of conservative models in which agents exchange wealth with a preference in the choice of interacting agents in different ways. The common feature in all the models is that the temporary values of financial status of agents…

Physics and Society · Physics 2015-06-22 Sanchari Goswami , Parongama Sen

An important question in economics is how people choose between different payments in the future. The classical normative model predicts that a decision maker discounts a later payment relative to an earlier one by an exponential function…

Theoretical Economics · Economics 2020-01-09 Alexander T. I. Adamou , Yonatan Berman , Diomides P. Mavroyiannis , Ole B. Peters

We formulate an infinite-horizon optimal investment and consumption problem, in which an individual forms a habit based on the exponentially weighted average of her past consumption rate, and in which she invests in a Black-Scholes market.…

Mathematical Finance · Quantitative Finance 2022-06-10 Bahman Angoshtari , Erhan Bayraktar , Virginia R. Young

The maximum entropy principle can be used to assign utility values when only partial information is available about the decision maker's preferences. In order to obtain such utility values it is necessary to establish an analogy between…

Statistical Finance · Quantitative Finance 2009-11-13 Andreia Dionisio , A. Heitor Reis

The nexus between debt and inequality has attracted considerable scholarly attention in the wake of the global financial crisis. One prominent candidate to explain the striking co-evolution of income inequality and private debt in this…

General Economics · Economics 2022-04-05 Jan Schulz , Daniel M. Mayerhoffer

In this communication, some economic models given by functional mappings are addressed. These are models for random markets where agents trade by pairs and exchange their money in a random and conservative way. They display the exponential…

Trading and Market Microstructure · Quantitative Finance 2014-07-25 Ricardo Lopez-Ruiz , Elyas Shivanian , Jose-Luis Lopez

This paper studies a type of consumption preference where some adjustment costs are incured whenever the past spending maximum and the past spending minimum records are updated. This preference can capture the adverse effects of the…

Optimization and Control · Mathematics 2025-03-25 Yijie Huang , Kaixin Yan , Qinyi Zhang

We consider a stochastic game-theoretic model of a discrete-time asset market with short-lived assets and endogenous asset prices. We prove that the strategy which invests in the assets proportionally to their expected relative payoffs…

Mathematical Finance · Quantitative Finance 2020-07-10 Mikhail Zhitlukhin

We consider a problem of optimal investment with intermediate consumption and random endowment in an incomplete semimartingale model of a financial market. We establish the key assertions of the utility maximization theory assuming that…

Portfolio Management · Quantitative Finance 2012-10-12 Oleksii Mostovyi

This work gives a general approach to the determination of the asymptotic behavior of the sums of functions of primes based on the distribution of primes. It refines the estimate of the remainder term of the asymptotic expansion of the sums…

Number Theory · Mathematics 2020-08-27 Victor Volfson

We consider a general discrete-time financial market with proportional transaction costs as in [Kabanov, Stricker and R\'{a}sonyi Finance and Stochastics 7 (2003) 403--411] and [Schachermayer Math. Finance 14 (2004) 19--48]. In addition to…

Probability · Mathematics 2008-12-10 Bruno Bouchard , Huyên Pham

We study the nature (i.e., constructive as opposed to non-constructive) of social welfare orders on infinite utility streams, and their representability by means of real-valued functions. We assume finite anonymity and introduce a new…

Theoretical Economics · Economics 2021-01-28 Ram Sewak Dubey , Giorgio Laguzzi , Francesco Ruscitti

For those concerned with the long-term value of their accounts, it can be a challenge to plan in the present for inflation-adjusted economic growth over coming decades. Here, I argue that there exists an economic constant that carries…

General Finance · Quantitative Finance 2012-11-14 Timothy J. Garrett

How should well-being be prioritised in society, and what trade-offs are people willing to make between fairness and personal well-being? We investigate these questions using a stated preference experiment with a nationally representative…

General Economics · Economics 2026-05-19 Crispin Cooper , Ana Fredrich , Tommaso Reggiani , Wouter Poortinga

We introduce the logistic model of consumption growth, which captures a negative feedback loop preventing an unlimited growth of consumption due to finite biophysical resources of our planet. This simple dynamic model allows for derivation…

General Finance · Quantitative Finance 2018-07-05 Victor E. Gluzberg , Yuri A. Katz

Risk and utility functionals are fundamental building blocks in economics and finance. In this paper we investigate under which conditions a risk or utility functional is sensitive to the accumulation of losses in the sense that any…

Risk Management · Quantitative Finance 2024-05-21 Martin Herdegen , Nazem Khan , Cosimo Munari
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