Abstract
In formulating solutions forn-person cooperative games, the concept of stability has played a dominant role. Although the core concept has the strongest stability, the core of a game is often empty. In this paper, the taxation system is incorporated into our framework, so that a modified solution concept, which enjoys the stability of core, can be developed. Various formulations based on principles such astaxation proportional to income andequity after tax are given.
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Charnes, A., Littlechild, S., andSorensen, S.,Core-Stem Solutions of n-Person Essential Games, Socio-Economic Planning Sciences, Vol. 1, No. 6, 1973.
Bergstresser, K., andYu, P. L.,Relaxed Cores and Core-Stem Solutions in n-Person Games, University of Texas, Austin, Texas, Graduate School of Business, Working Paper No. 77–9, 1976.
Roth, A. E.,Subsolutions of Cooperative games, Stanford University, Stanford, California, Institute for Mathematical Studies in the Social Sciences, Economics Series, Technical Report No. 118, 1973.
Luce, R. D., andRaiffa, H.,Games and Decisions, John Wiley and Sons, New York, New York, 1957.
Owen, G.,Game Theory, W. B. Saunders, Philadelphia, Pennsylvania, 1968.
Rappoport, A.,N-Person Game Theory, University of Michigan Press, Ann Arbor, Michigan, 1969.
Bergstresser, K., andYu, P. L.,Domination Structures and Multicriteria Problems in N-Person Games, International Journal of Theory and Decision, 1977.
Spinetto, R.,The Geometry of Solution Concepts for N-Person Cooperative Games, Management Science, Vol. 20, No. 9, 1974.
Yu, P. L.,Domination Structures and Nondominated Solutions, Multicriteria Decision Making, Edited by G. Leitmann and A. Marzollo, Springer-Verlag, New York, New York, 1975.
Leitmann, G., Editor,Multicriteria Decision making and Differential Games, Plenum Press, New York, New York, 1976.
Cochrane, J. L., andZeleny, M., Editors,Multiple Criteria Decision Making, University of South Carolina Press, Columbia, South Carolina, 1973.
Yu, P. L.,A Class of Solutions for Group Decision Problems, Management Science, Vol. 19, No. 8, 1973.
Freimer, M., andYu, P. L.,Some New Results on Compromise Solutions for Group Decision Problems, Management Science, Vol. 22, No. 6, 1976.
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Communicated by G. Leitmann
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Kwon, Y.K., Yu, P.L. Stabilization through taxation inn-person games. J Optim Theory Appl 23, 277–284 (1977). https://doi.org/10.1007/BF00933052
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DOI: https://doi.org/10.1007/BF00933052