Risk Sensitivity in Markov Games and Multi-Agent Reinforcement Learning: A Systematic Review

Fuente: arXiv
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Autores principales: Ghaemi, Hafez, Jamshidi, Shirin, Mashreghi, Mohammad, Ahmadabadi, Majid Nili, Kebriaei, Hamed
Formato: Preprint
Publicado: 2024
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author Ghaemi, Hafez
Jamshidi, Shirin
Mashreghi, Mohammad
Ahmadabadi, Majid Nili
Kebriaei, Hamed
author_facet Ghaemi, Hafez
Jamshidi, Shirin
Mashreghi, Mohammad
Ahmadabadi, Majid Nili
Kebriaei, Hamed
contents Markov games (MGs) and multi-agent reinforcement learning (MARL) are studied to model decision making in multi-agent systems. Traditionally, the objective in MG and MARL has been risk-neutral, i.e., agents are assumed to optimize a performance metric such as expected return, without taking into account subjective or cognitive preferences of themselves or of other agents. However, ignoring such preferences leads to inaccurate models of decision making in many real-world scenarios in finance, operations research, and behavioral economics. Therefore, when these preferences are present, it is necessary to incorporate a suitable measure of risk into the optimization objective of agents, which opens the door to risk-sensitive MG and MARL. In this paper, we systemically review the literature on risk sensitivity in MG and MARL that has been growing in recent years alongside other areas of reinforcement learning and game theory. We define and mathematically describe different risk measures used in MG and MARL and individually for each measure, discuss articles that incorporate it. Finally, we identify recent trends in theoretical and applied works in the field and discuss possible directions of future research.
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id arxiv_https___arxiv_org_abs_2406_06041
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Risk Sensitivity in Markov Games and Multi-Agent Reinforcement Learning: A Systematic Review
Ghaemi, Hafez
Jamshidi, Shirin
Mashreghi, Mohammad
Ahmadabadi, Majid Nili
Kebriaei, Hamed
Computer Science and Game Theory
Machine Learning
Multiagent Systems
Systems and Control
I.2.11
Markov games (MGs) and multi-agent reinforcement learning (MARL) are studied to model decision making in multi-agent systems. Traditionally, the objective in MG and MARL has been risk-neutral, i.e., agents are assumed to optimize a performance metric such as expected return, without taking into account subjective or cognitive preferences of themselves or of other agents. However, ignoring such preferences leads to inaccurate models of decision making in many real-world scenarios in finance, operations research, and behavioral economics. Therefore, when these preferences are present, it is necessary to incorporate a suitable measure of risk into the optimization objective of agents, which opens the door to risk-sensitive MG and MARL. In this paper, we systemically review the literature on risk sensitivity in MG and MARL that has been growing in recent years alongside other areas of reinforcement learning and game theory. We define and mathematically describe different risk measures used in MG and MARL and individually for each measure, discuss articles that incorporate it. Finally, we identify recent trends in theoretical and applied works in the field and discuss possible directions of future research.
title Risk Sensitivity in Markov Games and Multi-Agent Reinforcement Learning: A Systematic Review
topic Computer Science and Game Theory
Machine Learning
Multiagent Systems
Systems and Control
I.2.11
url https://arxiv.org/abs/2406.06041