Skip to main content

Three Approaches to Bargaining in NTU Games

  • Chapter
Game Equilibrium Models III

Abstract

This paper presents a noncooperative model of bargaining in characteristic function games and relates its outcomes to those of a cooperative model and a bargaining theory model. Despite the differences in the approach of these three models and the resulting differences in the nature of their solutions, all three models make similar predictions of bargaining outcomes.

I would like to thank the other members of the research group on Game Theory at the Center for Interdisciplinary Studies at the University of Bielefeld, especially James Friedman and Reinhard Selten, for their comiments. I would also like to thank William Zame for his extensive comments on a earlier draft. I am wrateful to the Center for Interdisciplinary Studies at the University of Bielefeld for its support and hospitality and to Franz Weissing for his care and attention. This reasearch was supported, in part, by the National Science Foundation grant SES-8706631.

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

Access this chapter

eBook
USD 16.99
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

The Aspiration Approach

  • Albers, W., “Zwei Losungskonzepte für Kooperative Mehrpersonspiele, die auf Anspruchnisiveaus der Spieler Basieren”, OR-Verfarhen 21, 1–13, 1974.

    Google Scholar 

  • Albers, W., “Core-and Kernel-variants Based on Imputations and Demand

    Google Scholar 

  • Profiles“, in: Game Theory and Related Topics,0. Moeschlin and D Palaschke (eds.), North-Holland, Amsterdam, 1980.

    Google Scholar 

  • Bennett, E., Coalition Formation and Payoff Distribution in Coop rative Games, Ph.D. dissertation, Northwestern University, 1980.

    Google Scholar 

  • Bennett, E., The Aspiration Approach to Predicting Coalition Formation and Payoff Distribution in Sidepayment Games“, International Journal of Game Theory, 12, 1–28, 1983.

    Article  Google Scholar 

  • Bennett, E., “A New Approach to Predicting Coalition Formation and Payoff Distribution in Characteristic Function Games”, in Coalitions and Collective Actions, Manfred J. Holler, (ed.), Springer Verlag, Wurzburg, 1984.

    Google Scholar 

  • Bennett, E. and M. Wooders, “Income Distribution and Firm Formation”, Journal of Comparative Economics, 3, 304–317, 1979.

    Article  Google Scholar 

  • Bennett, E. and W. Zame, “Bargaining in Cooperative Games”, International Journal of Game Theory 17, 279–300, 1988.

    Article  Google Scholar 

  • Cross, J., Some Theoretical Characteristics of Economic and Political

    Google Scholar 

  • Coalitions“ Journal of Conflict Resolution, 11, 184–195, 1967. Turbay, G., On Value Theories for N-person Cooperative Games, Ph.D. Disser-tation, Rice University, 1977.

    Google Scholar 

The Multilateral Bargaining Approach

  • B nnett, E., “Multilateral Bargaining Problems”, Economics Department, Working Paper Series, University of Kansas, Lawrence, Kansas, 1985.

    Google Scholar 

  • Bennett, E., “Multilateral Nash Bargaining Solutions”, Game Theory in the Behavioral Sciences Working Paper 3, Center for Interdisciplinary Studies, University of Bielefeld, West Germany, 1987.

    Google Scholar 

  • Bennett, E., “Consistent Bargaining Conjectures in Marriage and Matching”, Journal of Economic Theory 45, 392–407, 1988b.

    Article  Google Scholar 

  • Binmore, K., “Bargaining and Coalitions” in Game Theoretic Models of Bargaining, A. E. Roth (ed.), Cambridge University Press, Cambridge, 1985.

    Google Scholar 

The Noncooperative Approach

  • Bennett, E., “A Folk Theorem for the Proposal-Making Model”, in this volume, 1990.

    Google Scholar 

  • Binmore, K., “Bargaining and Coalitions” in Game Theoretic Models of Bargaining, A. E. Roth (ed.), Cambridge University Press, Cam-bridge, 1985.

    Google Scholar 

  • Chatterjee, K., B. Dutta, D. Ray, and D. Sengupta, “A Non-cooperative Theory of Coalitional Bargaining”, mimeo, 1987.

    Google Scholar 

  • Selten, R., “A Non-cooperative Model of Characteristic Function

    Google Scholar 

  • Bargaining“, in Essays in Game Theory and Mathematical Economics in Honor of Oskar Morgenstern, V. Boehm and H. Nachtkamp, Wissenschaftsverlag Bibliographisches Institut Mannheim, Wien - Zurich, 131–151, 1981.

    Google Scholar 

Other References

  • Shapley L., and M. Shubik, “The Assignment Game 1: The Core”, International Journal of Game Theory 1, 111–130, 1972.

    Article  Google Scholar 

  • Rubinstein A., “Perfect Equilibrium in a Bargaining Model, Econometrica 50, 97–110, 1981.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Bennett, E. (1991). Three Approaches to Bargaining in NTU Games. In: Selten, R. (eds) Game Equilibrium Models III. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-07367-4_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-07367-4_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08110-1

  • Online ISBN: 978-3-662-07367-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics