Abstract
In this paper I investigate the possibility of a dictatorship in the context of Harsanyi's Social Aggregation Theorem. Preliminarily, some propositions about Harsanyi's Theorem are presented using an alternative principle that I name Quasi-strong Pareto, which is the latter part of Strong Pareto. Then I define dictatorship as a requirement that social preference agrees with a dictator's preference or those of members of dictatorial group even if their preferences strictly contradict those of all other people in the society. Conclusively, although in each version of Harsanyi's Theorem with Pareto Indifference, Weak Preference Pareto or Weak Pareto the social utility function may have a form of dictatorship, however if individuals' vNM utility functions are all 'individualistic' and Quasi-strong Pareto is satisfied, then the dictatorship is excluded.
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REFERENCES
Coulhon, T. and Mongin, P.(1989), Social choice theory in the case of von Neumann-Morgenstern utilities, Social Choice and Welfare 6, 175–187.
De Meyer, B. and Mongin, P.(1995), A note on af ne aggregation, Economics Letters 47, 177–183.
Domtor, Z. (1979), Ordered sum and tensor product of linear utility structures, Theory and Decision 11, 375–399.
Fishburn, P.C. (1984), On Harsanyi's utilitarian cardinal welfare theorem, Theory and Decision 17, 21–28.
Fishburn, P.C. (1989), Retrospective on the utility theory of von Neumann and Morgenstern, Journal of Risk and Uncertainty 2, 127–158.
Harsanyi, J.C. (1955), Cardinal welfare, individual ethics, and interpersonal comparison of utility, Journal Political Economy 63, 309–321.
Mangasarian, O.L. (1969), Nonlinear Programming, McGraw-Hill, New York.
McClennen, E.F. (1981), Utility and equity:Sen v.s. Harsanyi, Journal of Philosophy 78, 600–601.
Selinger, S. (1986), Harsanyi's aggregation theorem without sel sh preferences, Theory and Decision 20, 53–62.
Turunen-Red, A.H. and Weymark, J.A. (1996), Paretian aggregation of asymmetric utility Functionals, Economics Letters 53, 39–45.
Turunen-Red, A.H. and Woodland, A.D. (1999), On economic applications of the Kuhn-Fourier theorem, in M.H. Wooders (ed.), Topics in Mathematical Economics and Game Theory: Essays in honor of Robert J. Aumann. American Mathematical Society.
Weymark, J.A. (1991), A reconsideration of the Harsanyi-Sen debate on Utilitarianism, in Elster, J. and Roemer, J.E. (eds.), Interpersonal Comparisons of Well-being. Cambridge University Press, Cambridge, pp. 255–320.
Weymark, J.A. (1993), Harsanyi's Social Aggregation Theorem and the weak Paretoprinciple, Social Choice and Welfare 10, 209–221.
Weymark, J.A. (1994), Harsanyi's Social Aggregation Theorem with alternative Paretoprinciples, in Eichhorn, W. (ed.), Models and Measurement of Welfare and Inequality, Springer, Berlin, pp. 869–887.
Weymark, J.A. (1995), Further remarks on Harsanyi's Social Aggregation Theorem and the weak Pareto principle, Social Choice and Welfare 12, 87–92.
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Mori, O. Harsanyi's Social Aggregation Theorem and Dictatorship. Theory and Decision 55, 257–272 (2003). https://doi.org/10.1023/B:THEO.0000044594.17658.40
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DOI: https://doi.org/10.1023/B:THEO.0000044594.17658.40