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Design of Incentive Compatible Mechanisms for Stackelberg Problems

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Internet and Network Economics (WINE 2005)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 3828))

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Abstract

This paper takes the first steps towards designing incentive compatible mechanisms for hierarchical decision making problems involving selfish agents. We call these Stackelberg problems. These are problems where the decisions or actions in successive layers of the hierarchy are taken in a sequential way while decisions or actions within each layer are taken in a simultaneous manner. There are many immediate applications of these problems in distributed computing, grid computing, network routing, ad hoc networks, electronic commerce, and distributed artificial intelligence. We consider a special class of Stackelberg problems called SLRF (Single Leader Rest Followers) problems and investigate the design of incentive compatible mechanisms for these problems. In developing our approach, we are guided by the classical theory of mechanism design. To illustrate the design of incentive compatible mechanisms for Stackelberg problems, we consider first-price and second-price electronic procurement auctions with reserve prices. Using the proposed framework, we derive some interesting results regarding incentive compatibility of these two mechanisms.

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References

  1. BaÅŸar, T., Olsder, G.J.: Dynamic Noncooperative Game Theory. Academic Press, London (1982)

    MATH  Google Scholar 

  2. Colell, A.M., Whinston, M.D., Green, J.R.: Microeconomic Theory. Oxford University Press, New York (1995)

    Google Scholar 

  3. Garg, D., Narahari, Y.: A theory of mechanism design for stackelberg problems with selfish agents. Technical report, Electronic Enterprises Laboratory, Department of Computer Science and Automation, Indian Institute of Science, Bangalore (May 2005)

    Google Scholar 

  4. Green, J.R., Laffont, J.-J.: Incentives in Public Decision Making. North-Holland Publishing Company, Amsterdam (1979)

    MATH  Google Scholar 

  5. Harris, M., Raviv, A.: Allocation mechanisms and the design of auctions. Econometrica 49(6), 1477–1499 (1981)

    Article  MATH  Google Scholar 

  6. Holt Jr., C.A.: Uncertainity and the bidding for incentive contracts. Amer. Econ. Rev. 69(4), 697–705 (1979)

    MathSciNet  Google Scholar 

  7. Laffont, J.-J.: Fundamentals of Public Economics. The MIT Press, Cambridge (1988)

    Google Scholar 

  8. McAfee, P.R., McMillan, J.: Auctions and bidding. Journal of Economic Literature 25(2), 699–738 (1987)

    Google Scholar 

  9. Milgrom, P.R., Weber, R.R.: A theory of auctions and competitive bidding. Econometrica 50(5), 1089–1122 (1982)

    Article  MATH  Google Scholar 

  10. Myerson, R.B.: Optimal auction design. Math. Operations Res. 6(1), 58–73 (1981)

    Article  MATH  MathSciNet  Google Scholar 

  11. Myerson, R.B.: Game Theory: Analysis of Conflict. Harvard University Press, Cambridge (1997)

    Google Scholar 

  12. Ortega-Reichert, A.: Models for Competitive Bidding under Uncertainity. PhD thesis, Dept. of Operations Research, Stanford University (January 1968)

    Google Scholar 

  13. Riley, J.G., Samuelson, W.F.: Optimal auctions. Amer. Econ. Rev. 71(3), 381–392 (1981)

    Google Scholar 

  14. Roughgarden, T.: Stackelberg scheduling strategies. SIAM Journal on Computing 33(2), 332–350 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  15. Stackelberg, V.H.: Marketform und Gleichgewicht. Springer, Vienna (1934); An English translation appeared in 1952 entitled The Theory of Market Economy. Oxford University Press, Oxford (1952)

    Google Scholar 

  16. Vickrey, W.: Counterspeculation, auctions, and competitive sealed tenders. Journal of Finance 16(1), 8–37 (1961)

    Article  Google Scholar 

  17. Wolfstetter, E.: Topics in Microeconomics. Cambridge University Press, Cambridge (1999)

    Book  Google Scholar 

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© 2005 Springer-Verlag Berlin Heidelberg

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Garg, D., Narahari, Y. (2005). Design of Incentive Compatible Mechanisms for Stackelberg Problems. In: Deng, X., Ye, Y. (eds) Internet and Network Economics. WINE 2005. Lecture Notes in Computer Science, vol 3828. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11600930_72

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  • DOI: https://doi.org/10.1007/11600930_72

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-30900-0

  • Online ISBN: 978-3-540-32293-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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