NDLI: Designing games to handle coupled constraints

Content Provider	IEEE Xplore Digital Library
Author	Na Li Marden, J.R.
Copyright Year	2010
Description	Author affiliation: California Institute of Technology, Pasadena, 91125, USA (Na Li) \|\| Department of Electrical, Computer & Energy Engineering, University of Colorado at Boulder, 80309, USA (Marden, J.R.)
Abstract	The central goal in multiagent systems is to design local control laws for the individual agents to ensure that the emergent global behavior is desirable with respect to a given system level objective. In many systems, such as cooperative robotics or distributed power control, the design of these local control algorithms is further complicated by additional coupled constraints on the agents' actions. There are several approaches in the existing literature for designing such algorithms stemming from classical optimization theory; however, many of these approaches are not suitable for implementation in multiagent systems. This paper seeks to address the design of such algorithms using the field of game theory. Among other things, this design choice requires defining a local utility function for each decision maker in the system. This paper seeks to address the degree to which utility design can be effective for dealing with these coupled constraints. In particular, is it possible to design local agent utility functions such that all pure Nash equilibrium of the unconstrained game (i) optimize the given system level objective and (ii) satisfy the given coupled constraint. This design would greatly simplify the distributed control algorithms by eliminating the need to explicitly consider the constraints. Unfortunately, we illustrate that designing utility functions within the standard game theoretic framework is not suitable for this design objective. However, we demonstrate that by adding an additional state variable in the game environment, i.e., moving towards state based games, we can satisfy these performance criteria by utility design. We focus on the problem of consensus control to illustrate these results.
Starting Page	250
Ending Page	255
File Size	379991
Page Count	6
File Format	PDF
ISBN	9781424477456
ISSN	07431546
e-ISBN	9781424477463
DOI	10.1109/CDC.2010.5718136
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-12-15
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Games Nash equilibrium Cost function Algorithm design and analysis Multiagent systems Joints Trajectory
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Modeling and Simulation

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
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9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

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