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A method for the analytical evaluation of layer potentials arising in the collocation boundary element method for the Laplace and Helmholtz equation is developed for piecewise flat boundary elements with polynomial shape functions. The…

数值分析 · 数学 2023-02-07 Shoken Kaneko , Nail A. Gumerov , Ramani Duraiswami

We offer a rationalization of the weak generalized axiom of revealed preference (WGARP) for both finite and infinite data sets of consumer choice. We call it maximin rationalization, in which each pairwise choice is associated with a…

理论经济学 · 经济学 2019-06-04 Victor H. Aguiar , Per Hjertstrand , Roberto Serrano

Learning from Preferential Feedback (LfPF) plays an essential role in training Large Language Models, as well as certain types of interactive learning agents. However, a substantial gap exists between the theory and application of LfPF…

机器学习 · 计算机科学 2024-03-29 Jonathan Colaço Carr , Prakash Panangaden , Doina Precup

We generalize the stochastic revealed preference methodology of McFadden and Richter (1990) for finite choice sets to settings with limited consideration. Our approach is nonparametric and requires partial choice set variation. We impose a…

理论经济学 · 经济学 2022-05-19 Nail Kashaev , Victor H. Aguiar

On taking a non-trivial and semi-transitive bi-relation constituted by two (hard and soft) binary relations, we report a (i) p-continuity assumption that guarantees the completeness and transitivity of its soft part, and a (ii)…

理论经济学 · 经济学 2020-02-13 M. Ali Khan , Metin Uyanik

Suppose that $Y$ is a scalar and $X$ is a second-order stochastic process, where $Y$ and $X$ are conditionally independent given the random variables $\xi_1,...,\xi_p$ which belong to the closed span $L_X^2$ of $X$. This paper investigates…

统计理论 · 数学 2009-04-02 Tailen Hsing , Haobo Ren

We provide sufficient conditions under which a utility function may be recovered from a finite choice experiment. Identification, as is commonly understood in decision theory, is not enough. We provide a general recoverability result that…

理论经济学 · 经济学 2023-01-30 Christopher P. Chambers , Federico Echenique , Nicolas S. Lambert

With $P_t$ the price in current dollars of a dollar delivered $t$ time units from now, we assume that $P$ is a decreasing function defined for $t \in \mathbb{R}_+$ with $P_0 = 1$. The negative logarithmic derivative, $-…

动力系统 · 数学 2024-03-21 Ethan Akin , Morton Davis

Recurrence equations have played a central role in static cost analysis, where they can be viewed as abstractions of programs and used to infer resource usage information without actually running the programs with concrete data. Such…

编程语言 · 计算机科学 2024-09-02 Louis Rustenholz , Pedro Lopez-Garcia , José F. Morales , Manuel V. Hermenegildo

We introduce a novel approach to solving the optimal portfolio choice problem under Epstein-Zin utility with a time-varying consumption constraint, where analytical expressions for the value function and the dual value function are not…

最优化与控制 · 数学 2025-02-24 Dejian Tian , Weidong Tian , Zimu Zhu

In a series of recent papers Barndorff-Nielsen and Shephard introduce an attractive class of continuous time stochastic volatility models for financial assets where the volatility processes are functions of positive Ornstein-Uhlenbeck(OU)…

统计理论 · 数学 2008-12-10 Lancelot F. James

In a consideration set model, an individual maximizes utility among the considered alternatives. I relate a consideration set additive random utility model to classic discrete choice and the extended additive random utility model, in which…

计量经济学 · 经济学 2024-05-24 Roy Allen

Reference prices have long been studied in applied economics and business research. One of the classic formulations of the reference price is in terms of an iterative function of past prices. There are a number of limitations of such a…

应用统计 · 统计学 2012-05-30 Kevin D. Dayaratna , P. K. Kannan

Monotonicity and recursivity are central assumptions in intertemporal consumption problems under ambiguity. We show that monotone recursive preferences admit both a recursive and an ex-ante representation, and that the certainty equivalent…

理论经济学 · 经济学 2026-01-23 Massimo Marinacci , Giulio Principi , Lorenzo Stanca

In this paper, we construct and compare algorithmic approaches to solve the Preference Consistency Problem for preference statements based on hierarchical models. Instances of this problem contain a set of preference statements that are…

计算机科学中的逻辑 · 计算机科学 2024-11-01 Anne-Marie George , Nic Wilson , Barry O'Sullivan

In this work we propose lifted regression/reconstruction networks (LRRNs), which combine lifted neural networks with a guaranteed Lipschitz continuity property for the output layer. Lifted neural networks explicitly optimize an energy model…

机器学习 · 计算机科学 2020-05-08 Rasmus Kjær Høier , Christopher Zach

I study intertemporal hedging demand in a continuous-time multi-asset long-run risk (LRR) model under Epstein--Zin (EZ) recursive preferences. The investor trades a risk-free asset and several risky assets whose drifts and volatilities…

系统与控制 · 电气工程与系统科学 2025-12-18 Wonchan Cho

We provide sufficient conditions for the existence and uniqueness of solutions to a stochastic differential equation which arises in a price impact model. These conditions are stated as smoothness and boundedness requirements on utility…

交易与市场微观结构 · 定量金融 2014-10-21 Peter Bank , Dmitry Kramkov

This short expository note provides an introduction to the concept of chain recurrence in topological dynamics and a proof of the existence complete Lyapunov functions for homeomorphisms of compact metric spaces due to Charles Conley. I…

动力系统 · 数学 2017-04-25 John Franks

This paper studies stability of the exponential utility maximization when there are small variations on agent's utility function. Two settings are considered. First, in a general semimartingale model where random endowments are present, a…

投资组合管理 · 定量金融 2013-09-04 Hao Xing