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A Mechanism Design Approach to Dynamic Price-Based Control of Multi-Agent Systems

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Distributed Decision Making and Control

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 417))

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.

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References

  1. Bergemann, D., Valimaki, J.: Efficient dynamic auctions. Cowles Foundation Discussion Paper 1584 (2006), http://cowles.econ.yale.edu/P/cd/d15b/d1584.pdf

  2. 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)

    Article  Google Scholar 

  3. Berger, A.: Market-clearing prices in coupled, dynamic systems. Automatica 27(4), 743–747 (1991)

    Article  MathSciNet  Google Scholar 

  4. 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

  5. Crow, M.: Power System Deregulation. IEEE Potentials, 8–9 (December 2001- January 2002)

    Google Scholar 

  6. Dullerud, G.E., Paganini, F.: A Course in Robust Control Theory. Springer, New York (1999)

    Google Scholar 

  7. 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)

    Article  Google Scholar 

  8. Fudenberg, D., Levine, D.: Subgame perfect equilibria of finite- and infinite-horizon games. Journal of Economic Theory 31(2), 251–268 (1983)

    Article  MathSciNet  MATH  Google Scholar 

  9. Jackson, M.: Mechanism Theory. In: Derigs, U. (ed.) Encyclopedia of Life Support Systems. EOLSS Publishers, Oxford (2003)

    Google Scholar 

  10. Johari, R., Tsitsiklis, J.N.: Efficiency loss in a network resource allocation game. Mathematics of Operations Research 29(3), 407–435 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  11. Jokic, A.: Priced-based optimal control of electrical power systems. Ph.D. dissertation, Eindhoven University of Technology (September 2007)

    Google Scholar 

  12. 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)

    Google Scholar 

  13. Oren, S.S., Ross, A.M.: Can we prevent the gaming oframp constraints? Decision Support Systems 40, 461–471 (2005)

    Article  Google Scholar 

  14. 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)

    Google Scholar 

  15. Rantzer, A.: Distributed Control using Decompositions and Games. In: Semi-plenary talk at the IEEE Conference on Decision and Control (2008)

    Google Scholar 

  16. Schweppe, F.C., Caramanis, M.C., Tabors, R.D., Bohn, R.E.: Spot Pricing of Electricity. Kluwer Press (1988)

    Google Scholar 

  17. Srikant, R.: The Mathematics of Internet Congestion. Birkhäuser (2003)

    Google Scholar 

  18. Vickrey, W.: Counterspeculation, Auctions, and Competitive Sealed-Tenders. Journal of Fi-nance 16, 837 (1961)

    Google Scholar 

  19. 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)

    Google Scholar 

  20. Wilson, R.: Architecture of Power Markets. Econometrica 70(4), 1299–1340 (2002)

    Article  MATH  Google Scholar 

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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

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  • 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)

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