Market-based Risk Allocation for Multi-agent Systems

This paper proposes Market-based Iterative Risk Allocation (MIRA), a new market-based distributed planning algorithm for multi-agent systems under uncertainty. In large coordination problems, from power grid management to multi-vehicle missions, multiple agents act collectively in order to opti...

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Main Authors: Ono, Masahiro, Williams, Brian Charles
Other Authors: Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Format: Article
Language:en_US
Published: Association for Computing Machinery 2012
Online Access:http://hdl.handle.net/1721.1/67892
https://orcid.org/0000-0002-1057-3940
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author Ono, Masahiro
Williams, Brian Charles
author2 Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
author_facet Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Ono, Masahiro
Williams, Brian Charles
author_sort Ono, Masahiro
collection MIT
description This paper proposes Market-based Iterative Risk Allocation (MIRA), a new market-based distributed planning algorithm for multi-agent systems under uncertainty. In large coordination problems, from power grid management to multi-vehicle missions, multiple agents act collectively in order to optimize the performance of the system, while satisfying mission constraints. These optimal plans are particularly susceptible to risk when uncertainty is introduced. We present a distributed planning algorithm that minimizes the system cost while ensuring that the probability of violating mission constraints is below a user-specified level. We build upon the paradigm of risk allocation (Ono & Williams 2008), in which the planner optimizes not only the sequence of actions, but also its allocation of risk among each constraint at each time step. We extend the concept of risk allocation to multi-agent systems by highlighting risk as a commodity that is traded in a computational market. The equilibrium price of risk that balances the supply and demand is found by an iterative price adjustment process called tˆatonnement (also known as Walrasian auction). Our work is distinct from the classical tˆatonnement approach in that we use Brent’s method to provide fast guaranteed convergence to the equilibrium price. The simulation results demonstrate the efficiency of the proposed distributed planner.
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spelling mit-1721.1/678922022-10-01T19:03:52Z Market-based Risk Allocation for Multi-agent Systems Ono, Masahiro Williams, Brian Charles Massachusetts Institute of Technology. Department of Aeronautics and Astronautics Williams, Brian Charles Williams, Brian Charles Ono, Masahiro This paper proposes Market-based Iterative Risk Allocation (MIRA), a new market-based distributed planning algorithm for multi-agent systems under uncertainty. In large coordination problems, from power grid management to multi-vehicle missions, multiple agents act collectively in order to optimize the performance of the system, while satisfying mission constraints. These optimal plans are particularly susceptible to risk when uncertainty is introduced. We present a distributed planning algorithm that minimizes the system cost while ensuring that the probability of violating mission constraints is below a user-specified level. We build upon the paradigm of risk allocation (Ono & Williams 2008), in which the planner optimizes not only the sequence of actions, but also its allocation of risk among each constraint at each time step. We extend the concept of risk allocation to multi-agent systems by highlighting risk as a commodity that is traded in a computational market. The equilibrium price of risk that balances the supply and demand is found by an iterative price adjustment process called tˆatonnement (also known as Walrasian auction). Our work is distinct from the classical tˆatonnement approach in that we use Brent’s method to provide fast guaranteed convergence to the equilibrium price. The simulation results demonstrate the efficiency of the proposed distributed planner. 2012-01-03T17:09:56Z 2012-01-03T17:09:56Z 2010-05 Article http://purl.org/eprint/type/ConferencePaper http://hdl.handle.net/1721.1/67892 Ono, Masahiro and Brian C. Williams. "Market-based Risk Allocation for Multi-agent Systems." In Proceedings of the Ninth International Conference on Autonomous Agents and Multiagent Systems, AAMAS 2010, Toronto, Canada, May 10-14, 2010. https://orcid.org/0000-0002-1057-3940 en_US http://www.cse.yorku.ca/AAMAS2010/index.php#content=accepted_papers Proceedings of the Ninth International Conference on Autonomous Agents and Multiagent Systems, AAMAS 2010 Attribution-Noncommercial-Share Alike 3.0 Unported http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Association for Computing Machinery MIT web domain
spellingShingle Ono, Masahiro
Williams, Brian Charles
Market-based Risk Allocation for Multi-agent Systems
title Market-based Risk Allocation for Multi-agent Systems
title_full Market-based Risk Allocation for Multi-agent Systems
title_fullStr Market-based Risk Allocation for Multi-agent Systems
title_full_unstemmed Market-based Risk Allocation for Multi-agent Systems
title_short Market-based Risk Allocation for Multi-agent Systems
title_sort market based risk allocation for multi agent systems
url http://hdl.handle.net/1721.1/67892
https://orcid.org/0000-0002-1057-3940
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