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Possibilistic risk theory starts from the hypothesis that risk is modelled by fuzzy numbers. In particular, in a possibilistic portfolio choice problem, the return of a risky asset will be a fuzzy number. The expected utility operators have…

Portfolio Management · Quantitative Finance 2019-07-01 Irina Georgescu , Louis Aimé Fono

Multicriteria decision analysis aims at supporting a person facing a decision problem involving conflicting criteria. We consider an additive utility model which provides robust conclusions based on preferences elicited from the decision…

Artificial Intelligence · Computer Science 2015-02-17 K. Belahcene , C. Labreuche , N. Maudet , V. Mousseau , W. Ouerdane

We consider a sequence of repeated interactions between an agent and an environment. Uncertainty about the environment is captured by a probability distribution over a space of hypotheses, which includes all computable functions. Given a…

Artificial Intelligence · Computer Science 2009-12-02 Peter de Blanc

Welfare economics relies on access to agents' utility functions: we revisit classical questions in welfare economics, assuming access to data on agents' past choices instead of their utilities. Our main result considers the existence of…

Theoretical Economics · Economics 2024-06-26 Christopher P Chambers , Federico Echenique

The consumers' willingness to pay plays an important role in economic theory and in setting policy. For a market, this function can often be estimated from observed behavior -- preferences are revealed. However, economists would like to…

General Economics · Economics 2021-08-02 Edoh Y. Amiran , Joni S. James Charles

We provide a theoretical framework to understand how widely used measures of choice difficulty relate. In a binary-option Bayesian expected-utility framework, we show that three measures of difficulty, (i) understanding (ex-ante value),…

Theoretical Economics · Economics 2026-04-30 Chris Chambers , Yusufcan Masatolioglu , Paulo Natenzon , Collin Raymond

Empirical evidence shows that wealthy households have substantially higher saving rates and markedly lower marginal propensity to consume (MPC) than other groups. Existing theory cannot account for this pattern unless under restrictive…

Theoretical Economics · Economics 2026-01-21 Qingyin Ma , Xinxi Song , Alexis Akira Toda

We revisit the problem of portfolio selection, where an investor maximizes utility subject to a risk constraint. Our framework is very general and accommodates a wide range of utility and risk functionals, including non-concave utilities…

Mathematical Finance · Quantitative Finance 2025-09-15 Leonardo Baggiani , Martin Herdegen , Nazem Khan

This paper discusses the connection between mathematical finance and statistical modelling which turns out to be more than a formal mathematical correspondence. We like to figure out how common results and notions in statistics and their…

Statistics Theory · Mathematics 2012-04-23 Arnold Janssen , Martin Tietje

The present paper introduces a theoretical framework through which the degree of risk aversion with respect to uncertain prices can be measured through the context of the indirect utility function (IUF) using a lab experiment. First, the…

General Economics · Economics 2022-09-07 Ali Zeytoon-Nejad

In the large financial market, which is described by a model with countably many traded assets, we formulate the problem of the expected utility maximization. Assuming that the preferences of an economic agent are modeled with a stochastic…

Portfolio Management · Quantitative Finance 2014-10-21 Oleksii Mostovyi

Reinforcement learning systems are often concerned with balancing exploration of untested actions against exploitation of actions that are known to be good. The benefit of exploration can be estimated using the classical notion of Value of…

Artificial Intelligence · Computer Science 2013-01-30 Richard Dearden , Nir Friedman , David Andre

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

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

The desirable gambles framework provides a foundational approach to imprecise probability theory but relies heavily on linear utility assumptions. This paper introduces function-coherent gambles, a generalization that accommodates…

Theoretical Economics · Economics 2025-04-28 Gregory Wheeler

Income- and price-elasticity of demand quantify the responsiveness of markets to changes in income, and in prices, respectively. Under the assumptions of utility maximization and preference-independence (additive preferences), mathematical…

Applications · Statistics 2016-04-27 Lorenzo Sabatelli

In mainstream neoclassical economics, utility maximization is the only engine of individual action, and the other or the social, if it is modeled for decisions deemed fundamental, it is done as a tacit externality parameter affecting an…

Theoretical Economics · Economics 2026-02-24 Alfio Giarlotta , M. Ali Khan , Angelo Enrico Petralia , Francesco Reito

Robust optimization methods have shown practical advantages in a wide range of decision-making applications under uncertainty. Recently, their efficacy has been extended to multi-period settings. Current approaches model uncertainty either…

Optimization and Control · Mathematics 2022-02-23 Omid Nohadani , Kartikey Sharma

I introduce novel preference formulations which capture aversion to ambiguity about unknown and potentially time-varying volatility. I compare these preferences with Gilboa and Schmeidler's maxmin expected utility as well as variational…

Theoretical Economics · Economics 2021-09-21 Peter G. Hansen

This paper investigates a time-inconsistent portfolio selection problem in the incomplete mar ket model, integrating expected utility maximization with risk control. The objective functional balances the expected utility and variance on log…

Portfolio Management · Quantitative Finance 2025-12-02 Yue Cao , Zongxia Liang , Sheng Wang , Xiang Yu