Abstract
We show how ideas and tools from the field of mechanism design in economics can be brought to bear on the problem of price-based control of dynamical systems. Specifically, we take inspiration from the Vickrey-Clarkes-Groves mechanism to design strategy-proof dynamic price-functions, which can induce subsystems to apply socially efficient control inputs even though they are self-interested and possibly strategically misreport their cost and dynamics’ models to the control designer.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bergemann, D., Valimaki, J.: Efficient dynamic auctions. Cowles Foundation Discussion Paper 1584 (2006), http://cowles.econ.yale.edu/P/cd/d15b/d1584.pdf
Berger, A.W., Schweppe, F.C.: Real Time Pricing to Assist in Load Frequency Control. IEEE Transactions on Power Systems 4(3), 920–926 (1989)
Berger, A.: Market-clearing prices in coupled, dynamic systems. Automatica 27(4), 743–747 (1991)
Cavallo, R., Parkes, D.C., Singh, S.: Efficient Online Mechanisms for Persistent, Periodically Inaccessible Self-Interest Agents. Harvard University Technical Report (2007), http://www.eecs.harvard.edu/econcs/pubs/persistent.pdf
Crow, M.: Power System Deregulation. IEEE Potentials, 8–9 (December 2001- January 2002)
Dullerud, G.E., Paganini, F.: A Course in Robust Control Theory. Springer, New York (1999)
Daryanian, B., Bohn, R.E., Tabors, R.D.: An experiment in real time pricing for control of electric thermalstorage systems. IEEE Transactions on Power Systems 6(4), 1356–1365 (1991)
Fudenberg, D., Levine, D.: Subgame perfect equilibria of finite- and infinite-horizon games. Journal of Economic Theory 31(2), 251–268 (1983)
Jackson, M.: Mechanism Theory. In: Derigs, U. (ed.) Encyclopedia of Life Support Systems. EOLSS Publishers, Oxford (2003)
Johari, R., Tsitsiklis, J.N.: Efficiency loss in a network resource allocation game. Mathematics of Operations Research 29(3), 407–435 (2004)
Jokic, A.: Priced-based optimal control of electrical power systems. Ph.D. dissertation, Eindhoven University of Technology (September 2007)
Lusan, D.A., Yu, Z., Sparrow, F.T.: Market gaming and market power mitigation in dereg¬ulated electricity markets. Proceedings of the IEEE Power Engineering Society 1, 839–843 (1999)
Oren, S.S., Ross, A.M.: Can we prevent the gaming oframp constraints? Decision Support Systems 40, 461–471 (2005)
Ozdaglar, A., Srikant, R.: Incentives and Pricing in Communication Networks. In: Nisan, N., Roughgarden, T., Tardos, E., Vazirani, V. (eds.) Algorithmic Game Theory. Cambridge University Press (2007)
Rantzer, A.: Distributed Control using Decompositions and Games. In: Semi-plenary talk at the IEEE Conference on Decision and Control (2008)
Schweppe, F.C., Caramanis, M.C., Tabors, R.D., Bohn, R.E.: Spot Pricing of Electricity. Kluwer Press (1988)
Srikant, R.: The Mathematics of Internet Congestion. Birkhäuser (2003)
Vickrey, W.: Counterspeculation, Auctions, and Competitive Sealed-Tenders. Journal of Fi-nance 16, 837 (1961)
Waslander, S.L., Roy, K., Johari, R., Tomlin, C.J.: Lump-Sum Markets for Air Traffic Flow Control With Competitive Airlines. Proceedings ofthe IEEE Publication 96(12), 2113–2130 (2008)
Wilson, R.: Architecture of Power Markets. Econometrica 70(4), 1299–1340 (2002)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer London
About this chapter
Cite this chapter
Langbort, C. (2012). A Mechanism Design Approach to Dynamic Price-Based Control of Multi-Agent Systems. In: Johansson, R., Rantzer, A. (eds) Distributed Decision Making and Control. Lecture Notes in Control and Information Sciences, vol 417. Springer, London. https://doi.org/10.1007/978-1-4471-2265-4_5
Download citation
DOI: https://doi.org/10.1007/978-1-4471-2265-4_5
Publisher Name: Springer, London
Print ISBN: 978-1-4471-2264-7
Online ISBN: 978-1-4471-2265-4
eBook Packages: EngineeringEngineering (R0)