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Stochastic dominance is a fundamental concept in decision-making under uncertainty and quantitative finance, yet its practical application is hindered by computational intractability due to infinitely many constraints. We introduce the…

最优化与控制 · 数学 2025-02-27 Rajmadan Lakshmanan , Alois Pichler

Overconservatism has long been recognized as a major issue with robust optimization, despite its key advantages of tractability, performance guarantee, and limited information. To address this issue, a new criterion is proposed that can…

最优化与控制 · 数学 2026-03-20 Yingjie Lan

The random utility model (RUM, McFadden and Richter, 1990) has been the standard tool to describe the behavior of a population of decision makers. RUM assumes that decision makers behave as if they maximize a rational preference over a…

综合经济学 · 经济学 2022-07-05 Victor H. Aguiar , Maria Jose Boccardi , Nail Kashaev , Jeongbin Kim

Random Serial Dictatorship (RSD) is arguably the most well-known and widely used assignment rule. Although it returns an ex post efficient assignment, Bogomolnaia and Moulin (A new solution to the random assignment problem, J. Econ. Theory…

计算机科学与博弈论 · 计算机科学 2016-03-28 Haris Aziz

We study the problem of assigning indivisible objects to agents where each is to receive at most one. To ensure fairness in the absence of monetary compensation, we consider random assignments. Random Priority, also known as Random Serial…

理论经济学 · 经济学 2025-06-24 Christian Basteck

We obtain a full characterization of consistency with respect to higher-order stochastic dominance within the rank-dependent utility model. Different from the results in the literature, we do not assume any condition on the utility…

理论经济学 · 经济学 2025-09-24 Ruodu Wang , Qinyu Wu

The ability to uncover preferences from choices is fundamental for both positive economics and welfare analysis. Overwhelming evidence shows that choice is stochastic, which has given rise to random utility models as the dominant paradigm…

综合经济学 · 经济学 2018-11-07 Carlos Alos-Ferrer , Ernst Fehr , Nick Netzer

We study risk-aware linear policy approximations for the optimal operation of an energy system with stochastic wind power, storage, and limited fuel. The resulting problem is a sequential decision-making problem with rolling forecasts. In…

系统与控制 · 电气工程与系统科学 2024-07-19 Thomas Mortimer , Robert Mieth

We are interested in risk constraints for infinite horizon discrete time Markov decision processes (MDPs). Starting with average reward MDPs, we show that increasing concave stochastic dominance constraints on the empirical distribution of…

最优化与控制 · 数学 2012-06-21 William B. Haskell , Rahul Jain

The vast majority of the literature on stochastic semidefinite programs (stochastic SDPs) with recourse is concerned with risk-neutral models. In this paper, we introduce mean-risk models for stochastic SDPs and study structural properties…

最优化与控制 · 数学 2018-12-27 Matthias Claus , Rüdiger Schultz , Kai Spürkel , Tobias Wollenberg

The goal of a sequential decision making problem is to design an interactive policy that adaptively selects a group of items, each selection is based on the feedback from the past, in order to maximize the expected utility of selected…

数据结构与算法 · 计算机科学 2022-09-13 Shaojie Tang

Stochastic choice-based discrete planning is a broad class of decision-making problems characterized by a sequential decision-making process involving a planner and a group of customers. The firm or planner first decides a subset of options…

最优化与控制 · 数学 2024-09-20 Jiajie Zhang , Yun Hui Lin , Gerardo Berbeglia

We explore the ways that a reference point may direct attention. Utilizing a stochastic choice framework, we provide behavioral foundations for the Reference-Dependent Random Attention Model (RD-RAM). Our characterization result shows that…

理论经济学 · 经济学 2023-03-21 Matthew Kovach , Elchin Suleymanov

We consider the economic problem of optimal consumption and investment with power utility. We study the optimal strategy as the relative risk aversion tends to infinity or to one. The convergence of the optimal consumption is obtained for…

投资组合管理 · 定量金融 2012-08-13 Marcel Nutz

We consider various stochastic models that incorporate the notion of risk-averseness into the standard 2-stage recourse model, and develop novel techniques for solving the algorithmic problems arising in these models. A key notable feature…

数据结构与算法 · 计算机科学 2008-05-06 Chaitanya Swamy

Since its introduction a decade ago, \emph{relative entropy policy search} (REPS) has demonstrated successful policy learning on a number of simulated and real-world robotic domains, not to mention providing algorithmic components used by…

机器学习 · 计算机科学 2021-03-18 Aldo Pacchiano , Jonathan Lee , Peter Bartlett , Ofir Nachum

Spaces with locally varying scale of measurement, like multidimensional structures with differently scaled dimensions, are pretty common in statistics and machine learning. Nevertheless, it is still understood as an open question how to…

We consider the multi-unit random assignment problem in which agents express preferences over objects and objects are allocated to agents randomly based on the preferences. The most well-established preference relation to compare random…

计算机科学与博弈论 · 计算机科学 2015-06-22 Haris Aziz

In reinforcement learning, robust policies for high-stakes decision-making problems with limited data are usually computed by optimizing the percentile criterion, which minimizes the probability of a catastrophic failure. Unfortunately,…

机器学习 · 计算机科学 2021-03-01 Elita A. Lobo , Mohammad Ghavamzadeh , Marek Petrik

Preference-based optimization algorithms are iterative procedures that seek the optimal calibration of a decision vector based only on comparisons between couples of different tunings. At each iteration, a human decision-maker expresses a…

最优化与控制 · 数学 2023-10-03 Davide Previtali , Mirko Mazzoleni , Antonio Ferramosca , Fabio Previdi