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Risk aversion and insurance are two prominent and interconnected concepts in economics and finance. To explore their fundamental connection, we introduce risk-insurance parity, which associates various classes of insurance contracts with…

Theoretical Economics · Economics 2025-12-11 Benjamin Côté , Ruodu Wang , Qinyu Wu

While the investors' responses to price changes and their price forecasts are well accepted major factors contributing to large price fluctuations in financial markets, our study shows that investors' heterogeneous and dynamic risk aversion…

Physics and Society · Physics 2008-12-02 Baosheng Yuan , Kan Chen

Gilboa and Schmeidler's (1989) uncertainty aversion plays a central role in decision theory and economics, yet many inconsistent behaviors have been observed in experiments. Motivated by this, we study an axiom postulating a minimal degree…

Theoretical Economics · Economics 2025-08-22 Kensei Nakamura , Shohei Yanagita

Conditions for positive and polynomial recurrence have been proposed for a class of reliability models of two elements with transitions from working state to failure and back. As a consequence, uniqueness of stationary distribution of the…

Probability · Mathematics 2020-05-29 Alexander Veretennikov

We study the interaction between strategy, heterogeneity and growth in a two-agent model of capital accumulation. Preferences are represented by recursive utility functions with decreasing marginal impatience. The stationary equilibria of…

Optimization and Control · Mathematics 2016-08-26 Luis Alcala , Fernando Tohme , Carlos Dabus

Consider a multi-class preemptive-resume $M/D/1$ queueing system that supports advance reservations (AR). In this system, strategic customers must decide whether to reserve a server in advance (thereby gaining higher priority) or avoid AR.…

Computer Science and Game Theory · Computer Science 2018-06-22 Eran Simhon , David Starobinski

In an incomplete semimartingale model of a financial market, we consider several risk-averse financial agents who negotiate the price of a bundle of contingent claims. Assuming that the agents' risk preferences are modelled by convex…

Risk Management · Quantitative Finance 2009-01-22 Michail Anthropelos , Gordan Zitkovic

For nonnegative real numbers $\alpha$, $\beta$, $\gamma$, $A$, $B$ and $C$ such that $B+C>0$ and $\alpha+\beta+\gamma >0$, the difference equation \begin{equation*} x_{n+1}=\displaystyle\frac{\alpha +\beta x_{n}+\gamma x_{n-1}}{A+B x_{n}+C…

Dynamical Systems · Mathematics 2008-12-18 Sukanya Basu , Orlando Merino

We study equilibrium in hedonic markets, when consumers and suppliers have reservation utilities, and the utility functions are separable with respect to price. There is one indivisible good, which comes in different qualities; each…

Trading and Market Microstructure · Quantitative Finance 2008-12-02 Ivar Ekeland

Risk aversion is a common behavior universal to humans and animals alike. Economists have traditionally defined risk preferences by the curvature of the utility function. Psychologists and behavioral economists also make use of concepts…

Populations and Evolution · Quantitative Biology 2015-11-18 Arend Hintze , Randal S. Olson , Christoph Adami , Ralph Hertwig

In risk-sharing markets with aggregate uncertainty, characterizing Pareto-optimal allocations when agents might not be risk averse is a challenging task, and the literature has only provided limited explicit results thus far. In particular,…

Risk Management · Quantitative Finance 2024-07-24 Mario Ghossoub , Qinghua Ren , Ruodu Wang

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

CRRA utility where the risk aversion coefficient is a constant is commonly seen in various economics models. But wealth-driven risk aversion rarely shows up in investor's investment problems. This paper mainly focus on numerical solutions…

Machine Learning · Statistics 2022-10-04 Ruoxin Xiao

We propose a consumption-investment decision model where past consumption peak $h$ plays a crucial role. There are two important consumption levels: the lowest constrained level and a reference level, at which the risk aversion in terms of…

Portfolio Management · Quantitative Finance 2022-11-23 Zongxia Liang , Xiaodong Luo , Fengyi Yuan

This paper formulates an utility indifference pricing model for investors trading in a discrete time financial market under non-dominated model uncertainty. The investors preferences are described by strictly increasing concave random…

Mathematical Finance · Quantitative Finance 2020-10-05 Romain Blanchard , Laurence Carassus

This paper extends the classical consumption and portfolio rules model in continuous time (Merton 1969, 1971) to the framework of decision-makers with time-inconsistent preferences. The model is solved for different utility functions for…

Portfolio Management · Quantitative Finance 2009-03-27 Jesus Marin-Solano , Jorge Navas

We study a risk-sharing economy where an arbitrary number of heterogenous agents trades an arbitrary number of risky assets subject to quadratic transaction costs. For linear state dynamics, the forward-backward stochastic differential…

General Finance · Quantitative Finance 2020-11-30 Johannes Muhle-Karbe , Xiaofei Shi , Chen Yang

We provide an economic interpretation of the practice consisting in incorporating risk measures as constraints in a classic expected return maximization problem. For what we call the infimum of expectations class of risk measures, we show…

Risk Management · Quantitative Finance 2009-06-19 Laetitia Andrieu , Michel De Lara , Babacar Seck

This article's aim is to provide the solution to the equity premium puzzle without using calibrated values. Calibrated values of subjective time discount factor were used in my prior derived models because 4 variables were determined from 3…

General Finance · Quantitative Finance 2026-03-16 Atilla Aras

We present extensive evidence that ``risk premium'' is strongly correlated with tail-risk skewness but very little with volatility. We introduce a new, intuitive definition of skewness and elicit an approximately linear relation between the…

General Finance · Quantitative Finance 2015-11-02 Y. Lempérière , C. Deremble , T. T. Nguyen , P. Seager , M. Potters , J. P. Bouchaud
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