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An extension of the Nash bargaining problem and the Nash social welfare function. (English) Zbl 0434.90011


MSC:

91B14 Social choice
91A12 Cooperative games
Full Text: DOI

References:

[1] Arrow, K. J., Social Choice and Individual Values, Wiley, New York, 2nd ed., 1963. · Zbl 0984.91513
[2] Dieudonne, J., Foundations of Modern Analysis, Academic Press, New York, 1960.
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[4] Kaneko, N. and Nakamura, K., ?The Nash Social Welfare Function? (1977), Econometrica 47 (1979), 423-435. · Zbl 0431.90091 · doi:10.2307/1914191
[5] Kaneko, M. and Nakamura, K., ?Cardinalization of the Nash Social Welfare Function? Economic Studies Quarterly 20 (1979), 227-233. · Zbl 0431.90091
[6] Kaneko, M., ?A Bilateral Monopoly and the Nash Cooperative Solution?, D.P. 23, Institute of Socio-Economic Planning, University of Tsukuba, 1978.
[7] Kaneko, M., ?The Nash Social Welfare Function for a Measure Space of Individuals?, D.P. 24, Institute of Socio-Economic Planning, University of Tsukuba, 1978.
[8] Luce, R. D. and Raiffa, H., Games and Decisions, Wiley, New York, 1957. · Zbl 0084.15704
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[10] Nash, J. F., ?Two Person Cooperative Games?, Econometrica 21 (1953), 128-140. · Zbl 0050.14102 · doi:10.2307/1906951
[11] Osborne, D. K., ?Irrelevant Alternatives and Social Welfare?, Econometrica 44 (1976), 1001-1015. · Zbl 0338.90010 · doi:10.2307/1911541
[12] Owen, G., Game Theory, W. B. Saunder, Philadelphia, 1968.
[13] Shapley, L. S. and Shubik, M., Game Theory in Economics - Chapter 4: Preference and Utility, R-904/4-NSF, Rand Co., 1974. · Zbl 0236.90078
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