Skip to main content

Towards Interactive Solutions in a Bargaining Problem

  • Chapter
Aspiration Based Decision Support Systems

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 331))

Abstract

The paper deals with interactive arbitration processes in a bargaining problem. Principles of constructing such processes are discussed, and several solution concepts are considered, first in unicriterial and then in multicriterial case. The analysis is preceded by a review of the axiomatic basis of Nash and Raiffa solution concepts.

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 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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

  • Axelrod, R. (1985). The Evolution of Cooperation, Basic Books, New York.

    Google Scholar 

  • Bronisz, P. and L. Krus (1986a). A New Solution of Two-Person Bargaining Games, ZTSW-17–1/86, Report of Systems Research Institute, Polish Academy of Sciences, Warsaw.

    Google Scholar 

  • Bronisz, P. and L. Krus (1986b). A Dynamic Solution of Two-Person Bargaining Games, ZTSW-17–3/86, Report of Systems Research Institute, Polish Academy of Sciences.

    Google Scholar 

  • Bronisz, P. and L. Krus (1987). The Raiffa Solution for Multicriterial Bargaining Problems, ZTSW-17–1/87, Report of Systems Research Institute, Polish Academy of Sciences, Warsaw.

    Google Scholar 

  • Bronisz, P., L. Krus and B. Lopuch (1987). An Experimental System Supporting Multiobjective Bargaining Problem. A Methodological Guide. In A. Lewandowski, A.P. Wierzbicki, editors: Theory, Software and Testing Examples for Decision Support Systems, IIASA, Laxenburg, (forthcoming).

    Google Scholar 

  • Bronisz, P., L. Krus and A. Wierzbicki, (1987). Towards interactive solutions in Bargaining Problem, RP.I.02.1. 4, Report of Institute of Automatic Control, Warsaw University of Technology.

    Google Scholar 

  • Dreyfus, S. (1985). Beyond Rationality. In M. Grauer, M. Thompson, A.P. Wierzbicki (eds): Plural Rationality and Interactive Decision Processes, Proceedings, Sopron 1984, Springer Verlag, Heidelberg.

    Google Scholar 

  • Fandel, G. (1979). Optimale Entscheidungen in Organizationen, Springer Verlag, Heidelberg.

    Book  Google Scholar 

  • Fandel, G. and A.P. Wierzbicki, (1985). A Procedural Selection of Equilibria for Supergames, (private unpublished communication).

    Google Scholar 

  • Grauer, M., M. Thompson and A.P. Wierzbicki (eds) (1985). Plural Rationality and Interactive Decision Processes, Proceedings, Sopron 1984, Springer Verlag, Heidelberg.

    Google Scholar 

  • Harsanyi, J.C. and R. Selten (1972). A Generalized Nash Solution for Two-Person Bargaining Games with Incomplete Information. Management Sciences, Vol. 18, pp. 80–106.

    Article  Google Scholar 

  • Imai, H. (1983). Individual Monotonicity and Lexicographical Maxmin Solution. Econometrica, Vol. 51, pp. 389–401.

    Article  Google Scholar 

  • Kalai, E. and M. Smorodinsky (1975). Other Solutions to Nash’s Bargaining Problem. Econometrica, Vol. 43, pp. 513–518.

    Article  Google Scholar 

  • Kreglewski, T. (1984). private communication.

    Google Scholar 

  • Luce, R.D. and H. Raiffa (1957). Games and Decisions: Introduction and Critical Survey, New York: Wiley.

    Google Scholar 

  • Nash, J.F. (1950). The Bargaining Problem. Econometrica, Vol. 18, pp. 155–162.

    Article  Google Scholar 

  • Nash, J.F. (1953). Two-Person Cooperative Games. Econometrica, Vol. 21, pp. 129140.

    Google Scholar 

  • Raiffa, H. (1953). Arbitration Schemes for Generalized Two-Person Games. Annals of Mathematics Studies, No. 28, pp. 361–387, Princeton.

    Google Scholar 

  • Roth, A.E. (1979a). An Impossibility Result Concerning n-Person Bargaining Games. International Journal of Game Theory, Vol. 8, pp. 129–132.

    Article  Google Scholar 

  • Roth, A.E. (1979b). Axiomatic Models of Bargaining. Lecture Notes in Economics and Mathematical Systems, Vol. 170, Springer Verlag, Berlin.

    Book  Google Scholar 

  • Roth, A.E. and M.W.K. Malouf (1979). Game-Theoretical Models and the Role of Information in Bargaining. Psychological Review, Vol. 86, pp. 1163–1170.

    Article  Google Scholar 

  • Thomson, W. (1980). Two Characterization of the Raiffa Solution. Economic Letters, Vol. 6, pp. 225–231.

    Article  Google Scholar 

  • Wierzbicki, A.P. (1982). A Mathematical Basis for Satisficing Decision Making. Mathematical Modelling, Vol. 3, pp. 391–405.

    Article  Google Scholar 

  • Wierzbicki, A.P. (1983). Negotiation and Mediation in Conflicts, I: The Role of Mathematical Approaches and Methods, WP-83–106, IIASA, Laxenburg; also in H. Chestnat et al., eds: Supplemental Ways to Increase International Stability, Pergamon Press, Oxford, 1983.

    Google Scholar 

  • Wierzbicki, A.P. (1985). Negotiation and Mediation in Conflicts, II: Plural Rationality and Interactive Decision Processes. In M. Grauer, M. Thompson, A.P. Wierzbicki, eds: Plural Rationality and Interactive Decision Processes, Proceedings, Sopron 1984, Springer Verlag, Heidelberg.

    Google Scholar 

  • Wierzbicki, A.P. (1987). Towards Interactive Procedures in Simulation and Gaming: Implications for Multiperson Decision Support. In: Methodology and Software for Interactive Decision Support, Proceedings of International Workshop, Albena (forthcoming).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Bronisz, P., Krus, L., Wierzbicki, A.P. (1989). Towards Interactive Solutions in a Bargaining Problem. In: Lewandowski, A., Wierzbicki, A.P. (eds) Aspiration Based Decision Support Systems. Lecture Notes in Economics and Mathematical Systems, vol 331. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21637-8_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-21637-8_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51213-4

  • Online ISBN: 978-3-662-21637-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics