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We consider a finite number of $N$ statistically equal agents, each moving on a finite set of states according to a continuous-time Markov Decision Process (MDP). Transition intensities of the agents and generated rewards depend not only on…

概率论 · 数学 2025-09-23 Nicole Bäuerle , Sebastian Höfer

In multi-period stochastic optimization problems, the future optimal decision is a random variable whose distribution depends on the parameters of the optimization problem. We analyze how the expected value of this random variable changes…

最优化与控制 · 数学 2020-01-28 Bar Light

We present a formal language for specifying qualitative preferences over temporal goals and a preference-based planning method in stochastic systems. Using automata-theoretic modeling, the proposed specification allows us to express…

人工智能 · 计算机科学 2021-03-29 Jie Fu

Markov Decision Processes (MDPs) are the most common model for decision making under uncertainty in the Machine Learning community. An MDP captures non-determinism, probabilistic uncertainty, and an explicit model of action. A Reinforcement…

人工智能 · 计算机科学 2025-06-10 Alena Makarova , Houssam Abbas

Markov decision processes (MDPs) are standard models for probabilistic systems with non-deterministic behaviours. Mean payoff (or long-run average reward) provides a mathematically elegant formalism to express performance related…

性能 · 计算机科学 2017-09-08 Jan Křetínský , Tobias Meggendorfer

We consider Incentive Decision Processes, where a principal seeks to reduce its costs due to another agent's behavior, by offering incentives to the agent for alternate behavior. We focus on the case where a principal interacts with a…

计算机科学与博弈论 · 计算机科学 2012-10-19 Sashank J. Reddi , Emma Brunskill

The occurrence of discrimination is an important problem in the social and economical sciences. Much of the discrimination observed in empirical studies can be explained by the theory of in-group favoritism, which states that people tend to…

物理与社会 · 物理学 2019-03-15 Gorm Gruner Jensen , Stefan Bornholdt

The von Neumann-Morgenstern (VNM) utility theorem shows that under certain axioms of rationality, decision-making is reduced to maximizing the expectation of some utility function. We extend these axioms to increasingly structured…

人工智能 · 计算机科学 2022-06-29 Mehran Shakerinava , Siamak Ravanbakhsh

Markov decision processes continue to gain in popularity for modeling a wide range of applications ranging from analysis of supply chains and queuing networks to cognitive science and control of autonomous vehicles. Nonetheless, they tend…

最优化与控制 · 数学 2023-12-07 Ali Eshragh

Much recent research in decision theoretic planning has adopted Markov decision processes (MDPs) as the model of choice, and has attempted to make their solution more tractable by exploiting problem structure. One particular algorithm,…

人工智能 · 计算机科学 2013-02-08 Craig Boutilier

We provide the first social choice theory approach to the question of what constitutes a community in a social network. Inspired by the classic preferences models in social choice theory, we start from an abstract social network framework,…

社会与信息网络 · 计算机科学 2014-10-21 Christian Borgs , Jennifer Chayes , Adrian Marple , Shang-Hua Teng

With ever-increasing amounts of online information available, modeling and predicting individual preferences-for books or articles, for example-is becoming more and more important. Good predictions enable us to improve advice to users, and…

社会与信息网络 · 计算机科学 2017-02-06 Antonia Godoy-Lorite , Roger Guimera , Cristopher Moore , Marta Sales-Pardo

Although many fairness criteria have been proposed for decision making, their long-term impact on the well-being of a population remains unclear. In this work, we study the dynamics of population qualification and algorithmic decisions…

机器学习 · 计算机科学 2020-10-24 Xueru Zhang , Ruibo Tu , Yang Liu , Mingyan Liu , Hedvig Kjellström , Kun Zhang , Cheng Zhang

Our research is concerned with studying behavioural changes within a dynamic system, i.e. health care, and their effects on the decision-making process. Evolutionary Game theory is applied to investigate the most probable strategy(ies)…

计算机科学与博弈论 · 计算机科学 2019-09-10 Zainab Alalawi , Yifeng Zeng , The Anh Han , Aiman Elragig

Current frameworks for consensus statement generation with large language models lack the inherent structure needed to provide provable fairness guarantees when aggregating diverse free-form opinions. We model the task as a multi-objective,…

人工智能 · 计算机科学 2025-10-17 Carter Blair , Kate Larson

Structural results impose sufficient conditions on the model parameters of a Markov decision process (MDP) so that the optimal policy is an increasing function of the underlying state. The classical assumptions for MDP structural results…

系统与控制 · 电气工程与系统科学 2023-03-07 Vikram Krishnamurthy

In most contemporary approaches to decision making, a decision problem is described by a sets of states and set of outcomes, and a rich set of acts, which are functions from states to outcomes over which the decision maker (DM) has…

计算机科学与博弈论 · 计算机科学 2021-09-07 Lawrence Blume , David Easley , Joseph Y. Halpern

An algorithmic decision-maker incentivizes people to act in certain ways to receive better decisions. These incentives can dramatically influence subjects' behaviors and lives, and it is important that both decision-makers and…

机器学习 · 计算机科学 2019-10-15 Yonadav Shavit , William S. Moses

In classic reinforcement learning (RL) and decision making problems, policies are evaluated with respect to a scalar reward function, and all optimal policies are the same with regards to their expected return. However, many real-world…

机器学习 · 计算机科学 2023-11-02 Han Shao , Lee Cohen , Avrim Blum , Yishay Mansour , Aadirupa Saha , Matthew R. Walter

We consider a dynamic collective choice problem where a large number of players are cooperatively choosing between multiple destinations while being influenced by the behavior of the group. For example, in a robotic swarm exploring a new…

系统与控制 · 计算机科学 2016-06-17 Rabih Salhab , Jerome Le Ny , Roland P. Malhamé