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The main objective of this paper is to develop a martingale-type solution to optimal consumption--investment choice problems ([Merton, 1969] and [Merton, 1971]) under time-varying incomplete preferences driven by externalities such as…

数理金融 · 定量金融 2025-01-14 Weixuan Xia

We consider qualitative strategy synthesis for the formalism called consumption Markov decision processes. This formalism can model dynamics of an agents that operates under resource constraints in a stochastic environment. The presented…

人工智能 · 计算机科学 2021-05-06 František Blahoudek , Petr Novotný , Melkior Ornik , Pranay Thangeda , Ufuk Topcu

This paper considers consumption and portfolio optimization problems with recursive preferences in both infinite and finite time regions. Specially, the financial market consists of a risk-free asset and a risky asset that follows a general…

最优化与控制 · 数学 2024-12-30 Jian-hao Kang , Zhun Gou , Nan-jing Huang

We consider a control problem involving several agents coupled through multiple unit-demand resources. Such resources are indivisible, and each agent's consumption is modeled as a Bernoulli random variable. Controlling the number of such…

系统与控制 · 计算机科学 2019-04-30 Syed Eqbal Alam , Robert Shorten , Fabian Wirth , Jia Yuan Yu

Choice modeling is at the core of understanding how changes to the competitive landscape affect consumer choices and reshape market equilibria. In this paper, we propose a fundamental characterization of choice functions that encompasses a…

计量经济学 · 经济学 2024-02-21 Amandeep Singh , Ye Liu , Hema Yoganarasimhan

We study the problem of minimizing the resource capacity of autonomous agents cooperating to achieve a shared task. More specifically, we consider high-level planning for a team of homogeneous agents that operate under resource constraints…

多智能体系统 · 计算机科学 2021-05-05 Murat Cubuktepe , František Blahoudek , Ufuk Topcu

Frequency non-selective time-selective multiple access channels in which transmitters can freely choose their power control policy are considered. The individual objective of the transmitters is to maximize their averaged energy-efficiency.…

计算机科学与博弈论 · 计算机科学 2011-07-22 François Mériaux , Maël Le Treust , Samson Lasaulce , Michel Kieffer

When an individual's behavior has rational characteristics, this may lead to irrational collective actions for the group. A wide range of organisms from animals to humans often evolve the social attribute of cooperation to meet this…

多智能体系统 · 计算机科学 2021-11-18 Zhenbo Cheng , Xingguang Liu , Leilei Zhang , Hangcheng Meng , Qin Li , Xiao Gang

We solve the binary decision model of Brock and Durlauf in time using a method reliant on the resolvent of the master operator of the stochastic process. Our solution is valid when not at equilibrium and can be used to exemplify…

理论经济学 · 经济学 2022-10-12 James Holehouse , Hector Pollitt

We consider the problem of online learning of optimal control for repeatedly operated systems in the presence of parametric uncertainty. During each round of operation, environment selects system parameters according to a fixed but unknown…

机器学习 · 计算机科学 2016-09-20 Theja Tulabandhula

We propose martingale consumption as a natural, desirable consumption pattern for any given (proportional) investment strategy. The idea is to always adjust current consumption so as to achieve level expected future consumption under the…

数理金融 · 定量金融 2025-05-28 Peter Holm Nielsen

Model predictive control is an advanced control approach for multivariable systems with constraints, which is reliant on an accurate dynamic model. Most real dynamic models are however affected by uncertainties, which can lead to…

最优化与控制 · 数学 2021-03-10 E. Bradford , L. Imsland

Achieving a just and sustainable transition requires the pursuit of multiple social and environmental targets. Two primary barriers impede this process: (1) targets are often in conflict with each other, and (2) policies aimed at these…

We consider a constrained hierarchical opinion dynamics in the case of leaders' competition and with complete information among leaders. Each leaders' group tries to drive the followers' opinion towards a desired state accordingly to a…

最优化与控制 · 数学 2017-12-12 Giacomo Albi , Lorenzo Pareschi , Mattia Zanella

In repeated-game applications where both the collusive and non-collusive outcomes can be supported as equilibria, researchers must resolve underlying selection questions if theory will be used to understand counterfactual policies. One…

综合经济学 · 经济学 2021-01-18 Emanuel Vespa , Taylor Weidman , Alistair J. Wilson

The mean-field dynamics of a collection of stochastic agents with local versus nonlocal interactions is studied via analytically soluble models. The nonlocal interactions result from a barycentric modulation of the observation range of the…

适应与自组织系统 · 物理学 2012-06-01 Max-Olivier Hongler , Roger Filliger , Olivier Gallay

Finding a good compromise between the exploitation of known resources and the exploration of unknown, but potentially more profitable choices, is a general problem, which arises in many different scientific disciplines. We propose a…

无序系统与神经网络 · 物理学 2016-10-28 Thomas Gueudré , Alexander Dobrinevski , Jean-Philippe Bouchaud

We study a multiscale approach for the control of agent-based, two-population models. The control variable acts over one population of leaders, which influence the population of followers via the coupling generated by their interaction. We…

最优化与控制 · 数学 2018-03-02 Giacomo Albi , Dante Kalise

We study an optimal-control problem of polling systems with large switchover times, when a holding cost is incurred on the queues. In particular, we consider a stochastic network with a single server that switches between several buffers…

概率论 · 数学 2020-09-01 Yue Hu , Jing Dong , Ohad Perry

This paper considers the problem of designing time-dependent, real-time control policies for controllable nonlinear diffusion processes, with the goal of obtaining maximally-informative observations about parameters of interest. More…

统计方法学 · 统计学 2014-10-16 Giles Hooker , Kevin K. Lin , Bruce Rogers