WHEN CONSENSUS CHOICE DOMINATES INDIVIDUALISM: Jensen's Inequality and Collective Decisions under Uncertainty
Research on collective provision of private goods has focused on distributional considerations. This paper studies a class of problems of decision under uncertainty in which the argument for collective choice emerges from the mathematics of aggregating individual payoffs. Consider decision making when each member of a population has the same objective function, which depends on an unknown state of nature. If agents knew the state of nature, they would make the same decision. However, they may have different beliefs or may use different decision criteria. Hence, they may choose different actions even though they share the same objective. Let the set of feasible actions be convex and the objective function be concave in actions, for all states of nature. Then Jensen's inequality implies that consensus choice of the mean privately-chosen action yields a larger aggregate payoff than does individualistic decision making, in all states of nature. If payoffs are transferable, the aggregate payoff from consensus choice may be allocated to Pareto dominate individualistic decision making, in all states of nature. I develop these ideas. I also use Jensen's inequality to show that a planner with the power to assign actions to the members of the population should not diversify. Finally, I give a version of the collective choice result that holds with consensus choice of the median rather than mean action.
|Date of creation:||Jul 2009|
|Date of revision:|
|Publication status:||published as Charles F. Manski, 2010. "When consensus choice dominates individualism: Jensen's inequality and collective decisions under uncertainty," Quantitative Economics, Econometric Society, vol. 1(1), pages 187-202, 07.|
|Contact details of provider:|| Postal: National Bureau of Economic Research, 1050 Massachusetts Avenue Cambridge, MA 02138, U.S.A.|
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- Blomquist, Suren & Christiansen, Vidar, 1995. " Public Provision of Private Goods as a Redistributive Device in an Optimum Income Tax Model," Scandinavian Journal of Economics, Wiley Blackwell, vol. 97(4), pages 547-67, December.
- Clemen, Robert T., 1989. "Combining forecasts: A review and annotated bibliography," International Journal of Forecasting, Elsevier, vol. 5(4), pages 559-583.
- Peter Norman & Hanming Fang, 2010.
"Toward an Efficiency Rationale for the Public Provision of Private Goods,"
2010 Meeting Papers
1185, Society for Economic Dynamics.
- Hanming Fang & Peter Norman, 2014. "Toward an efficiency rationale for the public provision of private goods," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(2), pages 375-408, June.
- Hanming Fang & Peter Norman, 2008. "Toward an Efficiency Rationale for the Public Provision of Private Goods," NBER Working Papers 13827, National Bureau of Economic Research, Inc.
- Hanming Fang & Peter Norman, 2008. "Toward an Efficiency Rationale for the Public Provision of Private Goods," 2008 Meeting Papers 1097, Society for Economic Dynamics.
- Coate, Stephen, 1995. "Altruism, the Samaritan's Dilemma, and Government Transfer Policy," American Economic Review, American Economic Association, vol. 85(1), pages 46-57, March.
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