Skip to main content
  • 1555 Accesses

Abstract

A well-known property of so-called “MDP processes”1 is monotonicity in terms of the utilities of the agents, due to the sharing among the latter of a “surplus” of numeraire generated at each point of their trajectories. In this paper, we focus our attention on the somewhat neglected question of how this sharing takes place, and we propose to use game-theoretic concepts and methods for answering it. A byproduct of this enquiry is the formulation of a “nontâtonnement” process that seems to be of independent interest.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Billera, L., 1970. Some theorems on the core of an n-person game without side-payments, SIAM Journal on Applied Mathematics, 18, 567–579.

    Article  MathSciNet  Google Scholar 

  • Champsaur, P., 1976. Neutrality of planning procedures in an economy with public goods, Review of Economic Studies, 43(2), 293–300.

    Article  Google Scholar 

  • Champsaur, P., Dreze, J. and Henry, C., 1977. Dynamic processes in economic theory, Econometrica, 45(2), 273–294.

    Article  MathSciNet  Google Scholar 

  • Charnes, A. and Kortanek, K., 1969. On asymptotic behavior of some nuclei of n-person games and the piecewise linearity of the nucleolus, Management Sciences Research Report No. 170. Pittsburgh: Graduate School of Industrial Administration, Carnegie-Mellon University.

    Google Scholar 

  • Dreze, J. and de la Vallee Poussin, D., 1971. A tâtonnement process for public goods, Review of Economic Studies, 38(2), 133–150.

    Article  Google Scholar 

  • Gillies, D., 1959. Solutions to general non-zero sum games, in A.W. Tucker and R.D. Luce (eds.). Contributions to the Theory of Games IV. Annals of Mathematics Studies no. 40. Princeton: Princeton University Press, 47–85.

    Google Scholar 

  • Kohlberg, E., 1971. On the nucleolus of a characteristic function game, SIAM Journal on Applied Mathematics, 20, 62–66.

    Article  MathSciNet  Google Scholar 

  • Malinvaud, E., 1972. Lectures on Microeconomic Theory. Amsterdam: North-Holland.

    Google Scholar 

  • Milleron, J. C., 1972, Theory of value with public goods, Journal of Economic Theory, 5, 419–477.

    Article  MathSciNet  Google Scholar 

  • Nemytskii, V. V. and Stepanov, V. V., 1960. Qualitative Theory of Differential Equations. Princeton: Princeton University Press.

    MATH  Google Scholar 

  • Roberts, J., 1979. Incentives in planning procedures for the provision of public goods, Review of Economic Studies, XLVI (2) (Symposium on Incentive Compatibility), 283–292.

    Google Scholar 

  • Schmeidler, D., 1969. The nucleolus of a characteristic function game, SIAM Journal on Applied Mathematics, 17, 1163–1170.

    Article  MathSciNet  Google Scholar 

  • Schoumaker, F., 1979. Incentives in planning with private goods, Review of Economic Studies, XLVI(2) (Symposium on Incentive Compatibility), 315–318.

    MathSciNet  Google Scholar 

  • Shapley, L. S., 1953. A value for n-person games, in H.W. Kuhn and A.W. Tucker (eds.). Contributions to the Theory of Games II. Annals of Mathematics Studies no. 28. Princeton: Princeton University Press, 307–317.

    Google Scholar 

  • Shapley, L. S., 1967. On balanced sets and cores, Naval Research Logistics Quarterly, 14, 453–460.

    Google Scholar 

  • Shapley, L. S., 1971. Cores of convex games, International Journal of Game Theory, 1, 11–26.

    Article  MathSciNet  Google Scholar 

  • Tulkens, H. and Zamir, S., 1976. Local games in dynamic exchange processes, CORE Discussion Paper no 7606, Université cathoique de Louvain (April).

    Google Scholar 

  • Uzawa, H., 1962. On the stability of Edgeworth’s Barter Process, International Economic Review, 3(2), 218–232.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer Science+Business Media, LLC

About this chapter

Cite this chapter

Tulkens, H., Zamir, S. (2006). Surplus-Sharing Local Games in Dynamic Exchange Processes. In: Chander, P., Drèze, J., Lovell, C.K., Mintz, J. (eds) Public goods, environmental externalities and fiscal competition. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-25534-7_3

Download citation

Publish with us

Policies and ethics