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We prove an analogue of Weitzman's (1998) famous result that an exponential discounter who is uncertain of the appropriate exponential discount rate should discount the far-distant future using the lowest (i.e., most patient) of the…

经济学 · 定量金融 2017-02-07 Nina Anchugina , Matthew Ryan , Arkadii Slinko

This paper derives a novel representation of the exponential discounting model that allows one to assess departures from the model via a measure of efficiency. The approach uses a revealed preference methodology that does not make any…

理论经济学 · 经济学 2025-08-29 Charles Gauthier

An important question in economics is how people choose between different payments in the future. The classical normative model predicts that a decision maker discounts a later payment relative to an earlier one by an exponential function…

理论经济学 · 经济学 2020-01-09 Alexander T. I. Adamou , Yonatan Berman , Diomides P. Mavroyiannis , Ole B. Peters

A prominent theme in behavioural contract theory is the study of present-biased agents represented through quasi-hyperbolic discounting. In a model of competitive credit provision, we study an alternative to this framework in which the…

理论经济学 · 经济学 2026-02-11 Siddharth Chatterjee , Daniel F. Garrett

Reinforcement learning has traditionally been studied with exponential discounting or the average reward setup, mainly due to their mathematical tractability. However, such frameworks fall short of accurately capturing human behavior, which…

机器学习 · 计算机科学 2024-09-18 S. R. Eshwar , Mayank Motwani , Nibedita Roy , Gugan Thoppe

How much should you receive in a week to be indifferent to \$ 100 in six months? Note that the indifference requires a rule to ensure the similarity between early and late payments. Assuming that rational individuals have low accuracy, then…

综合经济学 · 经济学 2020-03-02 José Cláudio do Nascimento

This text contains an alternative presentation, and in certain cases an improvement, of the "hyperbolic dispersive estimate" that was proved by Anantharaman and Nonnenmacher and used to make progress towards the quantum unique ergodicity…

偏微分方程分析 · 数学 2010-07-27 Nalini Anantharaman

People often face trade-offs between costs and benefits occurring at various points in time. The predominant discounting approach is to use the exponential form. Central to this approach is the discount rate, a unique parameter that…

理论经济学 · 经济学 2024-08-13 Bach Dong-Xuan , Philippe Bich

A model for decision making that generalizes Expected Utility Maximization is presented. This model, Expected Qualitative Utility Maximization, encompasses the Maximin criterion. It relaxes both the Independence and the Continuity…

计算机科学与博弈论 · 计算机科学 2007-05-23 Daniel Lehmann

It is well-known that for a group of time-consistent decision makers their collective time preferences may become time-inconsistent. Jackson and Yariv (2014) demonstrated that the result of aggregation of exponential discount functions…

经济学 · 定量金融 2016-04-08 Nina Anchugina , Matthew Ryan , Arkadii Slinko

We study intertemporal decision making under uncertainty. We fully characterize discounted expected utility in a framework \`a la Savage. Despite the popularity of this model, no characterization is available in this setting. The concept of…

理论经济学 · 经济学 2020-03-13 Lorenzo Bastianello , José Heleno Faro

The recent literature often cites Fang and Wang (2015) for analyzing the identification of time preferences in dynamic discrete choice under exclusion restrictions (e.g. Yao et al., 2012; Lee, 2013; Ching et al., 2013; Norets and Tang,…

计量经济学 · 经济学 2020-05-28 Jaap H. Abbring , Øystein Daljord

We study the identification of dynamic discrete choice models with sophisticated, quasi-hyperbolic time preferences under exclusion restrictions. We consider both standard finite horizon problems and empirically useful infinite horizon…

计量经济学 · 经济学 2025-07-11 Jaap H. Abbring , Øystein Daljord , Fedor Iskhakov

This chapter presents a review of the dividend discount models starting from the basic models (Williams 1938, Gordon and Shapiro 1956) to more recent and complex models (Ghezzi and Piccardi 2003, Barbu et al. 2017, D'Amico and De Blasis…

综合金融 · 定量金融 2020-01-03 Guglielmo D'Amico , Riccardo De Blasis

By embedding uncertainty into time, we obtain a conjoint axiomatic characterization of both Exponential Discounting and Subjective Expected Utility that accommodates arbitrary state and outcome spaces. In doing so, we provide a novel and…

理论经济学 · 经济学 2024-03-25 Lorenzo Bastianello , Vassili Vergopoulos

This paper aims to reconstruct the initial condition of a hyperbolic equation with an unknown damping coefficient. Our approach involves approximating the hyperbolic equation's solution by its truncated Fourier expansion in the time domain…

数值分析 · 数学 2023-08-28 Thuy T. Le , Linh V. Nguyen , Loc H. Nguyen , Hyunha Park

This paper establishes a precise high-dimensional asymptotic theory for boosting on separable data, taking statistical and computational perspectives. We consider a high-dimensional setting where the number of features (weak learners) $p$…

统计理论 · 数学 2022-11-21 Tengyuan Liang , Pragya Sur

We investigate a value-maximizing problem incorporating a human behavior pattern: present-biased-ness, for a firm which navigates strategic decisions encompassing earning retention/payout and capital injection policies, within the framework…

最优化与控制 · 数学 2024-01-30 Kaixin Yan , Wenyuan Wang , Jinxia Zhu

The decidability of axiomatic extensions of the modal logic K with modal reduction principles, i.e. axioms of the form $\Diamond^{k} p \rightarrow \Diamond^{n} p$, has remained a long-standing open problem. In this paper, we make…

计算机科学中的逻辑 · 计算机科学 2024-06-06 Piotr Ostropolski-Nalewaja , Tim S. Lyon

For strictly entropic Riemann shock solutions of strictly hyperbolic systems of balance laws, we prove that exponential spectral stability implies large-time asymptotic orbital stability. As a preparation, we also prove similar results for…

偏微分方程分析 · 数学 2022-07-27 Grégory Faye , L. Miguel Rodrigues
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