Skip to main content

A Comparison of Non-Transferable Utility Values

  • Chapter
Essays in Cooperative Games

Part of the book series: Theory and Decision Library ((TDLC,volume 36))

Abstract

Three values for non-transferable utility games — the Harsanyi NTU-value, the Shapley NTU-value, and the Maschler—Owen consistent NTU-value — are compared in a simple example.

Dedicated to Guillermo Owen on his sixty-fifth birthday. Research partially supported by a grant of the Israel Academy of Sciences and Humanities. The author thanks Robert J. Aumann and Andreu Mas-Colell for their comments.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
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

  • Aumann, R.J. (1985), An axiomatization of the non-transferable utility value, Econometrica 53, 599–612.

    Article  Google Scholar 

  • Aumann, R.J. (1987), Game theory, in J. Eatwell, M. Milgate, and P. Newman (eds), The New Palgrave: A Dictionary of Economics, Vol. 2, London: Macmillan, 460–482.

    Google Scholar 

  • De Clippel, G., Peters, H. and Zank, H. (2002), Axiomatizing the Harsanyi Solution, the Symmetric Egalitarian Solution, and the Consistent Shapley Solution for NTU-Games, mimeo.

    Google Scholar 

  • Harsanyi, J.C. (1963), A simplified bargaining model for the n-person cooperative game, International Economic Review 4, 194–220.

    Article  Google Scholar 

  • Hart, S. (1985), An axiomatization of Harsanyi’s non-transferable utility solution, Econometrica 53, 1295–1313.

    Article  Google Scholar 

  • Hart, S. (1994), On prize games, in N. Megiddo (ed.), Essays in Game Theory, Berlin: Springer-Verlag, 111–121.

    Chapter  Google Scholar 

  • Hart, S. (2003), An Axiomatization of the Consistent Non-Transferable Utility Value, Center for Rationality DP-337, The Hebrew University of Jerusalem, mimeo.

    Google Scholar 

  • Hart, S. and Mas-Colell, A. (1996), Bargaining and value, Econometrica 64, 357–380.

    Article  Google Scholar 

  • Maschler, M. and Owen, G. (1989), The consistent Shapley value for hyperplane games, International Journal of Game Theory 18, 389–407.

    Article  Google Scholar 

  • Maschler, M. and Owen, G. (1992), The consistent Shapley value for games without side payments, in R. Selten (ed.), Rational Interaction, New York: Springer-Verlag, 5–12.

    Chapter  Google Scholar 

  • McLean, R. (2002), Values of non-transferable utility games, in R.J. Aumann and S. Hart (eds), Handbook of Game Theory, with Economic Applications, Vol. 3, Amsterdam: Elsevier, 2077–2120.

    Google Scholar 

  • Myerson, R.B. (1991), Game Theory, Cambridge MA: Harvard University Press.

    Google Scholar 

  • Nash, J. (1950), The bargaining problem, Econometrica 18, 155–162.

    Article  Google Scholar 

  • Owen, G. (1972), A value for games without side payments, International Journal of Game Theory 1, 95–109.

    Article  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 28, Princeton: Princeton University Press, 307–317.

    Google Scholar 

  • Shapley, L.S. (1969), Utility comparison and the theory of games, in La Decision, Paris: Editions du CNRS, 251–263.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sergiu Hart .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer Science+Business Media New York

About this chapter

Cite this chapter

Hart, S. (2004). A Comparison of Non-Transferable Utility Values. In: Gambarelli, G. (eds) Essays in Cooperative Games. Theory and Decision Library, vol 36. Springer, Boston, MA. https://doi.org/10.1007/978-1-4020-2936-3_4

Download citation

  • DOI: https://doi.org/10.1007/978-1-4020-2936-3_4

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-5260-8

  • Online ISBN: 978-1-4020-2936-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics