Skip to main content
SpringerLink
Log in

The egalitarian solution and reduced game properties in convex games

  • Published:
International Journal of Game Theory Aims and scope Submit manuscript

Abstract

The main purpose of this paper is to axiomatise the egalitarian solution of Dutta and Ray over the class of convex games. The main axioms used are the two reduced game properties due to Davis-Maschler and Hart-Mas Colell. The egalitarian solution is the only solution satisfying either of the two reduced game properties and agreeing with the egalitarian solution on two person games. Moreover, it is also shown that there is no solution satisfying symmetry, individual rationality and a monotonicity condition on two-person games and which simultaneously satisfies both the reduced game properties.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Aumann RJ, Maschler M (1985) Game Theoretic Analysis of a Bankruptcy Problem from the Talmud, Journal of Economic Theory, Vol. 36, 195–213

    Google Scholar 

  • Davis M, Maschler M (1965) The Kernel of a Cooperative Game, Naval Research Logistics Quarterly, Vol. 12, 223–259

    Google Scholar 

  • Dutta B, Ray D (1988) S-Constrained Egalitarian Allocations, mimeo., to appear in Games and Economic Behavior

  • Dutta B, Ray D (1989) A Concept of Egalitarianism under Participation Constraints, Econometrica, Vol. 57, 615–635

    Google Scholar 

  • Hart S, Mas-Colell A (1989) Potential, Value and Consistency, Econometrica, Vol. 57, 589–614

    Google Scholar 

  • Lensburg T (1987) Stability and Collective Rationality, Econometrica, Vol. 55, 935–961

    Google Scholar 

  • Peleg B (1986) On the Reduced Game Property and its Converse, International Journal of Game Theory, Vol. 15, 187–200

    Google Scholar 

  • Peleg B (1988) Axiomatizations of the Core, to appear in RJ Aumann and S Hart (ed.) Handbook of Game Theory

  • Sobolev AI (1975) The Characterization of Optimality Principles in Cooperative Games by Functional Equations, Mathematical Methods in the Social Sciences, Vol. 6, 150–165

    Google Scholar 

  • Thomson W (1985) Axiomatic Theory of Bargaining with a Variable Population, Survey of Recent Results, in AE Roth (ed.) Game Theoretic Models of Bargaining, Cambridge University Press, Cambridge

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Delhi Centre, Indian Statistical Institute, 7, S.J.S. Sansanwal Marg, 110 016, New Delhi, India

    B. Dutta

Authors
  1. B. Dutta
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dutta, B. The egalitarian solution and reduced game properties in convex games. Int J Game Theory 19, 153–169 (1990). https://doi.org/10.1007/BF01761074

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01761074

Keywords

Search

Navigation