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The adaptation to situations of sequential choice under uncertainty of decision criteria which deviate from (subjective) expected utility raises the problem of ensuring the selection of a nondominated strategy. In particular, when following…

Computer Science and Game Theory · Computer Science 2013-02-01 Jean-Yves Jaffray

This paper studies a new and more general axiomatization than one presented previously for preference on likelihood gambles. Likelihood gambles describe actions in a situation where a decision maker knows multiple probabilistic models and a…

Artificial Intelligence · Computer Science 2012-07-02 Phan H. Giang

This note will extend the research presented in Brown & Rogers (2009) to the case of CRRA agents. We consider the model outlined in that paper in which agents had diverse beliefs about the dividends produced by a risky asset. We now assume…

General Finance · Quantitative Finance 2009-07-29 A. A. Brown

We examine behavioral axioms in decision theory that are satisfied approximately rather than exactly. We demonstrate that in key domains -- decisions under risk, uncertainty, and intertemporal choice -- behavior that \emph{almost} satisfies…

Theoretical Economics · Economics 2026-01-30 Christopher P Chambers , Federico Echenique

We provide an axiomatic foundation for the representation of num\'{e}raire-invariant preferences of economic agents acting in a financial market. In a static environment, the simple axioms turn out to be equivalent to the following choice…

General Finance · Quantitative Finance 2010-11-09 Constantinos Kardaras

This paper studies the identification, estimation, and hypothesis testing problem in complete and incomplete economic models with testable assumptions. Testable assumptions ($A$) give strong and interpretable empirical content to the models…

Econometrics · Economics 2022-03-11 Moyu Liao

In this paper, we establish a mathematical duality between utility transforms and probability distortions. These transforms play a central role in decision under risk by forming the foundation for the classic theories of expected utility,…

Theoretical Economics · Economics 2024-03-21 Christopher P. Chambers , Peng Liu , Ruodu Wang

In general, underestimation of risk is something which should be avoided as far as possible. Especially in financial asset management, equity risk is typically characterized by the measure of portfolio variance, or indirectly by quantities…

Statistical Finance · Quantitative Finance 2017-07-31 Thomas Schürmann , Ingo Hoffmann

In this paper, we aims to state some proprieties of willingness to pay (WTP) for partial risk reduction and links with insurance within the dual theory of decision. In the case of partial reduction, we get as Langlais (2005) that a…

Risk Management · Quantitative Finance 2022-10-12 Neji Saidi

Statistical inferential results generally come with a measure of reliability for decision-making purposes. For a policy implementer, the value of implementing published policy research depends critically upon this reliability. For a policy…

Other Statistics · Statistics 2024-08-21 Duncan Ermini Leaf

The purpose of this paper is to utilize statistical methodologies to infer from market prices of assets and their derivatives the magnitude of the set of a measure M that defines acceptance sets of risky future cash flows. Specifically, we…

Mathematical Finance · Quantitative Finance 2023-01-16 Yoshihiro Shirai

Subjective expected utility theory assumes that decision-makers possess unlimited computational resources to reason about their choices; however, virtually all decisions in everyday life are made under resource constraints - i.e.…

Machine Learning · Statistics 2016-10-07 Pedro A. Ortega , Alan A. Stocker

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

We all have preferences when multiple choices are available. If we insist on satisfying our preferences only, we may suffer a loss due to conflicts with other people's identical selections. Such a case applies when the choice cannot be…

Theoretical Economics · Economics 2023-02-21 Hiroaki Shinkawa , Nicolas Chauvet , Guillaume Bachelier , André Röhm , Ryoichi Horisaki , Makoto Naruse

Employing a generalized definition of Pratt (1964) and Arrow's (1965, 1971) probability premium, we introduce a new concept of attitude towards probability. We illustrate in a problem of risk sharing that whether attitude towards…

Risk Management · Quantitative Finance 2021-05-04 Louis R. Eeckhoudt , Roger J. A. Laeven

This article provides a self-contained overview of the theory of rational asset price bubbles. We cover topics from basic definitions, properties, and classical results to frontier research, with an emphasis on bubbles attached to real…

General Economics · Economics 2024-02-05 Tomohiro Hirano , Alexis Akira Toda

Conditional risk minimization arises in high-stakes decisions where risk must be assessed in light of side information, such as stressed economic conditions, specific customer profiles, or other contextual covariates. Constructing reliable…

Machine Learning · Statistics 2025-09-30 Xinqiao Xie , Jonathan Yu-Meng Li

This study proposes a new efficiency requirement, a minimal almost weak Pareto principle, which says that x is socially better than y whenever the only one individual never prefers y to x, and all the others prefers x to y. Then, I show…

Theoretical Economics · Economics 2025-01-20 Norihito Sakamoto

The rapid growth of e-commerce has made people accustomed to shopping online. Before making purchases on e-commerce websites, most consumers tend to rely on rating scores and review information to make purchase decisions. With this…

Information Retrieval · Computer Science 2020-07-07 Yingqiang Ge , Shuyuan Xu , Shuchang Liu , Zuohui Fu , Fei Sun , Yongfeng Zhang

We perform a detailed theoretical study of the value of a class of participating policies with four key features: $(i)$ the policyholder is guaranteed a minimum interest rate on the policy reserve; $(ii)$ the contract can be terminated by…

Mathematical Finance · Quantitative Finance 2021-11-15 Maria B. Chiarolla , Tiziano De Angelis , Gabriele Stabile