Skip to main content

A control-theoretic view on incentives

  • Games, Theory And Applications
  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 28))

Abstract

The idea of declaring a reward (punishment) for a decision maker according to his particular choice of action in order to induce certain "desired" behavior on the part of the decision maker is known as incentive (threat). This practice is age old. However, only in recent years have the notions been formalized. In the development of a control-theoretic view on incentives, we first investigate the deterministic version of the incentive problem. This reveals the basic simple idea behind the problem. It also illustrates the different possibilities introduced by the presence of dynamics and multi-follower nature of the problem. This is followed by two variants of the stochastic version of the problem where we concentrate on the role of uncertainties. Relationship to economic literature is also discussed.

The research reported in this paper was supported by the Department of Energy under Contract ET-78-C-01-3252, the National Science Foundation under Grant ENG 78-15231, and by the U.S. Office of Naval Research under the Joint Services Electronics Program by Contract N00014-75-0648.

This is a preview of subscription content, log in via an institution.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Tamer Basar, Hasan Selbuz, "Closed-Loop Stackelberg Strategies with Applications in the Optimal Control of Multilevel Systems", IEEE Transactions on Automatic Control, Vol. AC-24, No. 2, April 1979, pp 166–179.

    Google Scholar 

  2. B. Tolwinski, "Closed-Loop Stackelberg Solution to Multi-stage Linear-Quadratic Game", to appear in J. of Optimization Theory and Applications.

    Google Scholar 

  3. George P. Papavassilopoulos, Jose B. Cruz, Jr., "Nonclassical Control Problems and Stackelberg Games", IEEE Transactions on Automatic Control, Vol. AC-24, No. 2, April 1979, pp. 155–166.

    Google Scholar 

  4. George P. Papavassilopoulos, Jose B. Cruz, Jr., "Sufficient Conditions for Stackelberg and Nash Strategies with Memory", to appear in J. of Optimization Theory and Applications, Sept. 1980.

    Google Scholar 

  5. Theodore Groves, Martin Loeb, "Incentives in a Divisionalized Firm", Management Science, Vol. 25, No. 3, March 1979, pp. 221–230.

    Google Scholar 

  6. Partha Dasgupta, Peter Hammond and Eric Maskin, "The Implementation of Social Choice Rules: Some General Results on Incentive Compatibility", The Review of Economic Studies, Vol. 46, No. 143, April 1979, pp. 185–216.

    Google Scholar 

  7. Tamer Basar, "Equilibrium Strategies in Dynamic Games with Multi Levels of Hierarchy", Proceedings of the 2nd IFAC Symposium on Large Scale Systems, Toulouse, June 24–26, 1980.

    Google Scholar 

  8. Tamer Basar, Hasan Selbuz, "A New Approach for Derivation of Closed-loop Stackelberg Strategies", Proceedings of the 1978 IEEE Conference on Decision and Control, Jan. 10–12, 1979, pp. 1113–1118.

    Google Scholar 

  9. Yu-Chi Ho, Kai-Ching Chu, "Team Decision Theory and Information Structures in Optimal Control Problems, Part I", IEEE Transactions on Automatic Control, Vol. AC-17, No. 1, Feb. 1972, pp. 15–22.

    Google Scholar 

  10. Yu-Chi Ho, Peter B. Luh, Ramal Muralidharan, "Information Structure, Stackelberg Games and Incentive Controllability", to appear in IEEE Transactions on Automatic Control.

    Google Scholar 

  11. K. J. Arrow, Social Choice and Individual Values, J. Wiley and Sons, New York, 1951.

    Google Scholar 

  12. A. Gibbard, "Manipulation of Voting Schemes", Econometrica, Vol. 41, 1973, pp. 587–601.

    Google Scholar 

  13. M. Satterthwaite, "Strategy-Proofness and Arrow's Conditions: Existence and Correspondence Theorems for Voting Procedures and Social Welfare Functions", J. of Economic Theory, Vol. 10, 1975, pp. 187–217.

    Google Scholar 

  14. Jerry R. Green, Jean-Jacques Laffont, Incentives in Public Decision-Making, North-Holland Publishing Co., 1979.

    Google Scholar 

  15. Theodore Groves, "Incentives in Teams", Econometrica, Vol. 41, No. 4, July 1973, pp. 617–631.

    Google Scholar 

  16. A. K. Sen, Collective Choice and Social Welfare, Holden-Day, San Francisco, 1970.

    Google Scholar 

  17. Michael Spence, "Nonlinear Pricing and Welfare", J. of Public Economics, Vol. 8, No. 1, August 1977, pp. 1–18.

    Google Scholar 

  18. J. A. Mirrlees, "An Exploration in the Theory of Optimal Income Taxation", Review of Economic Studies, Vol. 38, No. 2, April 1971, pp. 175–208.

    Google Scholar 

  19. Steven Shavell, "The Principal — Agent Problem as Stackelberg Leader — Follower Problem", Bell J. of Economics, Vol. 10, No. 1, Spring 1979, pp. 55–73.

    Google Scholar 

  20. B. Tolwinski, "Equilibrium Solutions for a Class of Hierarchical Games", internal report, Polish Academy of Sciences, 1980.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

A. Bensoussan J. L. Lions

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Springer-Veralg

About this paper

Cite this paper

Ho, YC., Luh, P.B., Olsder, G.J. (1980). A control-theoretic view on incentives. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems. Lecture Notes in Control and Information Sciences, vol 28. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0004054

Download citation

  • DOI: https://doi.org/10.1007/BFb0004054

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10472-8

  • Online ISBN: 978-3-540-38489-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics