Social choice, the strong Pareto principle, and conditional decisiveness
Tóm tắt
This paper examines social choice theory with the strong Pareto principle. The notion of conditional decisiveness is introduced to clarify the underlying power structure behind strongly Paretian aggregation rules satisfying binary independence. We discuss the various degrees of social rationality: transitivity, semi-transitivity, the interval-order property, quasi-transitivity, and acyclicity.
Tài liệu tham khảo
Aliprantis, C. D., & Border, K. C. (2006). Infinite dimensional analysis: A hitchhiker’s guide. Berlin: Springer Verlag.
Arrow, K. J. (1951). Social choice and individual values (2nd ed., 1963). New York: Wiley.
Banks, J. S. (1995). Acyclic social choice from finite sets. Social Choice and Welfare, 12, 293–310.
Blair, D. H., Bordes, G., Kelly, J. S., & Suzumura, K. (1975). Impossibility theorems without collective rationality. Journal of Economic Theory, 13, 361–379.
Blair, D. H., & Pollak, R. A. (1979). Collective rationality and dictatorship: The scope of the Arrow theorem. Journal of Economic Theory, 21, 186–194.
Blau, J. H. (1979). Semiorders and collective choice. Journal of Economic Theory, 21, 195–206.
Bossert, W., & Suzumura, K. (2008). A characterization of consistent collective choice rules. Journal of Economic Theory, 138, 311–320.
Bossert, W., & Suzumura, K. (2009). Decisive coalitions and coherence properties. CIREQ: Discussion Paper, Université de Montréal.
Bossert, W., & Suzumura, K. (2010). Consistency, choice and rationality. Cambridge: Harvard University Press.
Bossert, W., & Suzumura, K. (2011). Multi-profile intergenerational social choice. Social Choice and Welfare, 37, 493–509.
Brown, D. J. (1974). An approximate solution to Arrow’s problem. Journal of Economic Theory, 9, 375–383.
Brown, D. J. (1975). Aggregation of preferences. Quarterly Journal of Economics, 89, 456–469.
Campbell, K., & Kelly, J. S. (2002). Impossibility theorems in the Arrovian framework. In K. J. Arrow, A. K. Sen, & K. Suzumura (Eds.), Handbook of social choice and welfare (Vol. 1, pp. 35–94). North-Holland: Amsterdam.
Cato, S. (2011). Pareto principles, positive responsiveness, and majority decisions. Theory and Decision, 71, 503–518.
Cato, S. (2012a). Quasi-decisiveness, quasi-ultrafilter, and social quasi-orderings. Social Choice and Welfare. doi:10.1007/s00355-012-0677-z.
Cato, S. (2012b). Social choice without the Pareto principle: A comprehensive analysis. Social Choice and Welfare, 39, 869–889.
Cato, S. (2013). Remarks on Suzumura consistent collective choice rules. Mathematical Social Sciences, 65, 40–47.
Cato, S., & Hirata, D. (2010). Collective choice rules and collective rationality: A unified method of characterizations. Social Choice and Welfare, 34, 611–630.
Ferejohn, J., & Page, T. (1978). On the foundations of intertemporal choice. American Journal of Agricultural Economics, 60, 269–275.
Fishburn, P. C. (1970). Arrow’s impossibility theorem: Concise proof and infinite voters. Journal of Economic Theory, 2, 103–106.
Fishburn, P. C. (1975). Axioms for lexicographic preferences. Review of Economic Studies, 42, 415–419.
Gibbard, A. (1969). Social choice and the Arrow condition. Unpublished paper.
Guha, A. (1972). Neutrality, monotonicity, and the right of veto. Econometrica, 40, 821–826.
Hansson, B. (1976). The existence of group preference functions. Public Choice, 28, 89–98.
Kirman, A. P., & Sondermann, D. (1972). Arrow’s theorem, many agents, and invisible dictators. Journal of Economic Theory, 5, 267–277.
Mas-Colell, A., & Sonnenschein, H. (1972). General possibility theorems for group decisions. Review of Economic Studies, 39, 185–192.
Packel, E. W. (1980). Impossibility results in the axiomatic theory of intertemporal choice. Public Choice, 35, 219–227.
Packel, E. W. (1981). Social decision functions and strongly decisive sets. Review of Economic Studies, 48, 343–349.
Sen, A. K. (1969). Quasi-transitivity, rational choice and collective decisions. Review of Economic Studies, 36, 381–393.
Sen, A. K. (1970). Collective choice and social welfare. San Francisco: Holden-Day.
Suzumura, K. (1976). Remarks on the theory of collective choice. Economica, 43, 381–390.
Willard, S. (1970). General topology. Reading: Addison-Wesley Publishing Company.