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Models of economic decision makers often include idealized assumptions, such as rationality, perfect foresight, and access to all relevant pieces of information. These assumptions often assure the models' internal validity, but, at the same…

General Economics · Economics 2021-07-09 Patrick Reinwald , Stephan Leitner , Friederike Wall

We introduce and study a non-equilibrium continuous-time dynamical model of the price of a single asset traded by a population of heterogeneous interacting agents in the presence of uncertainty and regulatory constraints. The model takes…

Adaptation and Self-Organizing Systems · Physics 2009-04-23 V. I. Yukalov , D. Sornette , E. P. Yukalova

We present a theory of expected utility with state-dependent linear utility functions for monetary returns, that incorporates the possibility of loss-aversion. Our results relate to first order stochastic dominance, mean-preserving spread,…

Theoretical Economics · Economics 2024-11-19 Somdeb Lahiri

In this article, we consider the optimal investment-consumption problem for an agent with preferences governed by Epstein--Zin stochastic differential utility (EZ-SDU) who invests in a constant-parameter Black-Scholes-Merton market over the…

Mathematical Finance · Quantitative Finance 2021-12-14 Martin Herdegen , David Hobson , Joseph Jerome

We present a simple dynamic equilibrium model for an online exchange where both buyers and sellers arrive according to a exogenously defined stochastic process. The structure of this exchange is motivated by the limit order book mechanism…

Computer Science and Game Theory · Computer Science 2008-12-02 Garud Iyengar , Anuj Kumar

We establish a Nash equilibrium in a market with $ N $ agents with the performance criteria of relative wealth level when the market return is unobservable. Each investor has a random prior belief on the return rate of the risky asset. The…

Portfolio Management · Quantitative Finance 2020-07-24 Chao Deng , Xizhi Su , Chao Zhou

The article presents a general discrete time dividend valuation model when the dividend growth rate is a general continuous variable. The main assumption is that the dividend growth rate follows a discrete time semi-Markov chain with…

Mathematical Finance · Quantitative Finance 2016-05-10 Guglielmo D'Amico

This paper solves a consumption-investment choice problem with Epstein-Zin recursive utility under partial information--unobservable market price of risk. The main novelty is the introduction of a terminal liability constraint, a feature…

Optimization and Control · Mathematics 2025-12-04 Wilfried Kuissi-Kamdem

In this study, we consider the asset pricing under model uncertainty with discrete time and states structure. For the single-period securities model, we give a novel definition of arbitrage under a family of probability, and explore of its…

Mathematical Finance · Quantitative Finance 2025-12-25 Shuzhen Yang , Wenqing Zhang

A basic assumption of traditional reinforcement learning is that the value of a reward does not change once it is received by an agent. The present work forgoes this assumption and considers the situation where the value of a reward decays…

Artificial Intelligence · Computer Science 2023-03-01 Taylor Dohmen , Ashutosh Trivedi

In this paper, we consider the discrete-time setting, and the market model described by (S,F,T)$. Herein F is the ``public" flow of information which is available to all agents overtime, S is the discounted price process of d-tradable…

Mathematical Finance · Quantitative Finance 2024-01-12 Tahir Choulli , Emmanuel Lepinette

Estimating consumer preferences is central to many problems in economics and marketing. This paper develops a flexible framework for learning individual preferences from partial ranking information by interpreting observed rankings as…

Machine Learning · Statistics 2026-02-19 Yu-Chang Chen , Chen Chian Fuh , Shang En Tsai

Forecasting accuracy is routinely optimised in financial prediction tasks even though investment and risk-management decisions are executed under transaction costs, market impact, capacity limits, and binding risk constraints. This paper…

Econometrics · Economics 2026-01-14 Craig S Wright

We consider the setting in which an electric power utility seeks to curtail its peak electricity demand by offering a fixed group of customers a uniform price for reductions in consumption relative to their predetermined baselines. The…

Machine Learning · Computer Science 2018-06-20 Kia Khezeli , Eilyan Bitar

We derive formulas for the performance of capital assets in continuous time from an efficient market hypothesis, with no stochastic assumptions and no assumptions about the beliefs or preferences of investors. Our efficient market…

Pricing of Securities · Quantitative Finance 2018-02-06 Vladimir Vovk , Glenn Shafer

Relational query optimisers rely on cost models to choose between different query execution plans. Selectivity estimates are known to be a crucial input to the cost model. In practice, standard selectivity estimation procedures are prone to…

Databases · Computer Science 2020-09-22 Max Halford , Philippe Saint-Pierre , Franck Morvan

In this paper, the problem of smart grid energy management under stochastic dynamics is investigated. In the considered model, at the demand side, it is assumed that customers can act as prosumers who own renewable energy sources and can…

Computer Science and Game Theory · Computer Science 2017-08-08 Seyed Rasoul Etesami , Walid Saad , Narayan Mandayam , H. Vincent Poor

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

We analyze the stability properties of equilibrium solutions and periodicity of orbits in a two-dimensional dynamical system whose orbits mimic the evolution of the price of an asset and the excess demand for that asset. The construction of…

Dynamical Systems · Mathematics 2009-09-29 Vladimir Belitsky , Antonio L. Pereira , Fernando P. de Almeida Prado

We prove existence and uniqueness of stochastic equilibria in a class of incomplete continuous-time financial environments where the market participants are exponential utility maximizers with heterogeneous risk-aversion coefficients and…

General Finance · Quantitative Finance 2010-06-02 Gordan Zitkovic
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