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We study the market selection hypothesis in complete financial markets, populated by heterogeneous agents. We allow for a rich structure of heterogeneity: individuals may differ in their beliefs concerning the economy, information and…

Portfolio Management · Quantitative Finance 2012-01-17 Roman Muraviev

We model investor heterogeneity using different required returns on an investment and evaluate the impact on the valuation of an investment. By assuming no disagreement on the cash flows, we emphasize how risk preferences in particular, but…

General Finance · Quantitative Finance 2021-09-13 Carol Alexander , Xi Chen , Charles Ward

We investigate a pricing rule that is applicable for streams of income or contingent claim liabilities and study how this rule changes under additional insider-type information that an investor might obtain. Considering a model where the…

Mathematical Finance · Quantitative Finance 2025-05-15 Philip A. Ernst , Oleksii Mostovyi

Auctions in which agents' payoffs are random variables have received increased attention in recent years. In particular, recent work in algorithmic mechanism design has produced mechanisms employing internal randomization, partly in…

Computer Science and Game Theory · Computer Science 2012-06-15 Shaddin Dughmi , Yuval Peres

We propose a general family of piecewise hyperbolic absolute risk aversion (PHARA) utilities, including many classic and non-standard utilities as examples. A typical application is the composition of a HARA preference and a piecewise…

Mathematical Finance · Quantitative Finance 2023-10-11 Zongxia Liang , Yang Liu , Ming Ma , Rahul Pothi Vinoth

This paper proposes a new way to model behavioral agents in dynamic macro-financial environments. Agents are described as neural networks and learn policies from idiosyncratic past experiences. I investigate the feedback between…

General Economics · Economics 2021-10-25 Artem Kuriksha

We consider a market consisting of one safe and one risky asset, which offer constant investment opportunities. Taking into account both proportional transaction costs and linear price impact, we derive optimal rebalancing policies for…

Portfolio Management · Quantitative Finance 2017-09-05 Ren Liu , Johannes Muhle-Karbe , Marko H. Weber

Problem definition: Mining for heterogeneous responses to an intervention is a crucial step for data-driven operations, for instance to personalize treatment or pricing. We investigate how to estimate price sensitivity from…

Methodology · Statistics 2025-01-08 Jean Pauphilet

We analyze and quantify, in a financial market with parameter uncertainty and for a Constant Relative Risk Aversion investor, the utility effects of two different boundedly rational (i.e., sub-optimal) investment strategies (namely, myopic…

Mathematical Finance · Quantitative Finance 2017-09-14 Michele Longo , Alessandra Mainini

In order to manage peak-grid events, utilities run incentive-based demand response (DR) programs in which they offer an incentive to assets who promise to curtail power consumption, and impose penalties if they fail to do so. We develop a…

Systems and Control · Electrical Eng. & Systems 2022-08-25 Utkarsha Agwan , Costas J. Spanos , Kameshwar Poolla

This paper examines the impact of introducing a Rank-Dependent Utility (RDU) agent into a von Neumann-Morgenstern (vNM) pure-exchange economy with no aggregate uncertainty. In the absence of the RDU agent, the classical theory predicts that…

Theoretical Economics · Economics 2026-03-02 Patrick Beissner , Tim Boonen , Mario Ghossoub

We consider thin incomplete financial markets, where traders with heterogeneous preferences and risk exposures have motive to behave strategically regarding the demand schedules they submit, thereby impacting prices and allocations. We…

Mathematical Finance · Quantitative Finance 2018-06-22 Michail Anthropelos , Constantinos Kardaras , Georgios Vichos

This paper presents an optimal allocation problem in a financial market with one risk-free and one risky asset, when the market is driven by a stochastic market price of risk. We solve the problem in continuous time, for an investor with a…

Portfolio Management · Quantitative Finance 2019-09-19 Katia Colaneri , Stefano Herzel , Marco Nicolosi

For an investor with constant absolute risk aversion and a long horizon, who trades in a market with constant investment opportunities and small proportional transaction costs, we obtain explicitly the optimal investment policy, its implied…

Portfolio Management · Quantitative Finance 2012-08-01 Paolo Guasoni , Johannes Muhle-Karbe

In this short paper, we define the investment ability of data investors in the data economy and its heterogeneity. We further construct an analytical heterogeneous agent model to demonstrate that differences in data investment ability lead…

Theoretical Economics · Economics 2025-09-12 Yongheng Hu

We consider insurance derivatives depending on an external physical risk process, for example a temperature in a low dimensional climate model. We assume that this process is correlated with a tradable financial asset. We derive optimal…

Pricing of Securities · Quantitative Finance 2008-12-10 Stefan Ankirchner , Peter Imkeller , Alexandre Popier

In order to properly manage risk, practitioners must understand the aggregate risks they are exposed to. Additionally, to properly price policies and calculate bonuses the relative riskiness of individual business units must be well…

Risk Management · Quantitative Finance 2024-10-22 Andrew Fleck , Edward Furman , Yang Shen

We maximize the expected utility from terminal wealth for an HARA investor when the market price of risk is an unobservable random variable. We compute the optimal portfolio explicitly and explore the effects of learning by comparing it…

Portfolio Management · Quantitative Finance 2015-02-11 Michele Longo , Alessandra Mainini

This paper develops a method to derive optimal portfolios and risk premia explicitly in a general diffusion model for an investor with power utility and a long horizon. The market has several risky assets and is potentially incomplete.…

Probability · Mathematics 2012-03-08 Paolo Guasoni , Scott Robertson

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
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