Abstract
In a two-type Stiglitz, J. Public Econ. 17, 213–240 (1982) model of optimal non-linear taxation it is shown that when the utility function relating to consumption is logaritmic the shadow price of the incentive constraint relating to the optimal tax problem exactly equals the Gini coefficient of the second-best optimal income distribution of a utilitarian government. In this sense the optimal degree of income redistribution is determined by the severity of the incentive problem facing the policy-maker. Extensions of the benchmark model to allow for more general functional forms of the utility function and for more than two types of workers reveal that also in these cases the desired degree of income redistribution is positively correlated with the shadow prices of the incentive constraints.
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References
Akerlof, G.A.: The economics of tagging as applied to the optimal income tax, welfare programs, and manpower planning. Am. Econ. Rev. 68, 8–19 (1978)
Arnott, R.J., Hosios, A.J., Stiglitz, J.E.: Implicit contracts, labor mobility, and unemployment. Am. Econ. Rev. 78, 1046–66 (1988)
Blomquist, S., Micheletto, L.: Age-related optimal income distribution. Scan. J. Econ. 110, 45–71 (2008)
Mirrlees, J.A.: An exploration in the theory of optimum income taxation. Rev. Econ. Stud. 38, 175–208 (1971)
Salanié, B.: The Economics of Taxation, 2nd edn. MIT Press, Cambridge (2011)
Stiglitz, J.E.: Self-selection and pareto efficient taxation. J. Public Econ. 17, 213–240 (1982)
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Rasmussen, B.S. An interpretation of the Gini coefficient in a Stiglitz two-type optimal tax problem. J Econ Inequal 13, 17–26 (2015). https://doi.org/10.1007/s10888-014-9292-9
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DOI: https://doi.org/10.1007/s10888-014-9292-9