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Infinitely repeated games can support cooperative outcomes that are not equilibria in the one-shot game. The idea is to make sure that any gains from deviating will be offset by retaliation in future rounds. However, this model of…

计算机科学与博弈论 · 计算机科学 2024-06-04 Ratip Emin Berker , Vincent Conitzer

In this paper, we consider the problem of optimization of a portfolio consisting of securities. An investor with an initial capital, is interested in constructing a portfolio of securities. If the prices of securities change, the investor…

投资组合管理 · 定量金融 2017-12-05 Oleg Malafeyev , Achal Awasthi

We consider the robust exponential utility maximization problem in discrete time: An investor maximizes the worst case expected exponential utility with respect to a family of nondominated probabilistic models of her endowment by…

投资组合管理 · 定量金融 2019-02-12 Daniel Bartl

We study the Merton portfolio management problem within a complete market, non constant time discount rate and general utility framework. The non constant discount rate introduces time inconsistency which can be solved by introducing sub…

投资组合管理 · 定量金融 2026-02-23 Oumar Mbodji

We study an intertemporal consumption and portfolio choice problem under Knightian uncertainty in which agent's preferences exhibit local intertemporal substitution. We also allow for market frictions in the sense that the pricing…

最优化与控制 · 数学 2020-11-10 Giorgio Ferrari , Hanwu Li , Frank Riedel

We study the single-period portfolio selection problem under Constant Relative Risk-Aversion (CRRA) utility through the information-theoretic lens. Assuming only that the market payoff vector has finite support, we show that the…

信息论 · 计算机科学 2026-05-12 Bo-Yu Yang , Michael Gastpar

This memoir presents a systematic study of the utility maximization problem of an investor in a constrained and unbounded financial market. Building upon the work of Hu et al. (2005) [Ann. Appl. Probab., 15, 1691--1712] in a bounded…

概率论 · 数学 2024-10-16 Ying Hu , Gechun Liang , Shanjian Tang

Coalition is an important mean of multi-robot systems to collaborate on common tasks. An adaptive coalition strategy is essential for the online performance in dynamic and unknown environments. In this work, the problem of territory defense…

机器人学 · 计算机科学 2023-10-10 Junfeng Chen , Zili Tang , Meng Guo

The classical mean-variance portfolio selection problem induces time-inconsistent (precommited) strategies (see Zhou and Li (2000)). To overcome this time-inconsistency, Basak and Chabakauri (2010) introduce the game theoretical approach…

数理金融 · 定量金融 2023-05-26 Mengge Li , Shuaijie Qian , Chao Zhou

We study a sequential decision-making model where a set of items is repeatedly matched to the same set of agents over multiple rounds. The objective is to determine a sequence of matchings that either maximizes the utility of the least…

计算机科学与博弈论 · 计算机科学 2025-10-07 Eugene Lim , Tzeh Yuan Neoh , Nicholas Teh

We provide a unified approach to find equilibrium solutions for time-inconsistent problems with distribution dependent rewards, which are important to the study of behavioral finance and economics. Our approach is based on {\it equilibrium…

数理金融 · 定量金融 2022-04-11 Zongxia Liang , Fengyi Yuan

In collective adaptive systems (CAS), adaptation can be implemented by optimization wrt. utility. Agents in a CAS may be self-interested, while their utilities may depend on other agents' choices. Independent optimization of agent utilities…

多智能体系统 · 计算机科学 2018-05-01 Lenz Belzner , Kyrill Schmid , Thomy Phan , Thomas Gabor , Martin Wirsing

A Nash Equilibrium (NE) is a strategy profile resilient to unilateral deviations, and is predominantly used in the analysis of multiagent systems. A downside of NE is that it is not necessarily stable against deviations by coalitions. Yet,…

计算机科学与博弈论 · 计算机科学 2014-01-16 Michal Feldman , Tami Tamir

This paper studies the problem of risk-sensitive reinforcement learning (RSRL) in continuous time, where the environment is characterized by a controllable stochastic differential equation (SDE) and the objective is a potentially nonlinear…

机器学习 · 计算机科学 2025-12-03 Chuhan Xie

Distributed Nash equilibrium (NE) seeking problem for multi-coalition games has attracted increasing attention in recent years, but the research mainly focuses on the case without agreement demand within coalitions. This paper considers a…

最优化与控制 · 数学 2021-12-10 Jialing Zhou , Yuezu Lv , Guanghui Wen , Jinhu Lv , Dezhi Zheng

We study sequential multi-issue trading between two greedily rational agents who exchange resources from a finite set of categories. Each agent's utility depends on its allocation, but the offering agent does not know the responding agent's…

多智能体系统 · 计算机科学 2026-05-15 Surya Murthy , Mustafa O. Karabag , Ufuk Topcu

In this work we assess the role played by the dynamical adaptation of the interactions network, among agents playing Coordination Games, in reaching global coordination and in the equilibrium selection. Specifically, we analyze a…

物理与社会 · 物理学 2023-02-20 Miguel A. González Casado , Angel Sánchez , Maxi San Miguel

This paper studies robust forward investment and consumption preferences within a zero-volatility context. Different from previous works, we consider an incomplete financial market model due to general investment portfolio constraints. We…

数理金融 · 定量金融 2023-11-20 Wing Fung Chong , Gechun Liang

Mean-reverting behavior of individuals assets is widely known in financial markets. In fact, we can construct a portfolio that has mean-reverting behavior and use it in trading strategies to extract profits. In this paper, we show that we…

投资组合管理 · 定量金融 2024-06-26 Sung Min Yoon

This paper studies a continuous-time market {under stochastic environment} where an agent, having specified an investment horizon and a target terminal mean return, seeks to minimize the variance of the return with multiple stocks and a…

投资组合管理 · 定量金融 2013-02-28 Wan-Kai Pang , Yuan-Hua Ni , Xun Li , Ka-Fai Cedric Yiu