Cake eating, exhaustible resource extraction, life-cycle saving, and non-atomic games: Existence theorems for a class of optimal allocation problems
This paper investigates the problem concerning the existence of a solution to a diverse class of optimal allocation problems which include models of cake eating, exhaustible resource extraction, life-cycle saving, and non-atomic games. A new formulation that encompasses all these diverse models is provided. Examples of these models for which a solution does not exist and the causes of the non-existence are studied. Two theorems are provided to tackle the existence problem under different conditions. Several analytical examples with a closed-form solution are offered to illustrate the usefulness of the existence theorems.
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- Leung, Siu Fai, 2007. "The existence, uniqueness, and optimality of the terminal wealth depletion time in life-cycle models of saving under uncertain lifetime and borrowing constraint," Journal of Economic Theory, Elsevier, vol. 134(1), pages 470-493, May.
- Daron Acemoglu, 1998.
"Why Do New Technologies Complement Skills? Directed Technical Change and Wage Inequality,"
The Quarterly Journal of Economics,
Oxford University Press, vol. 113(4), pages 1055-1089.
- Acemoglu, D., 1997. "Why Do New Technologies Complement Skills? Directed Technical Change and Wage Inequality," Working papers 97-14, Massachusetts Institute of Technology (MIT), Department of Economics.
- Acemoglu, Daron, 1997. "Why Do New Technologies Complement Skills? Directed Technical Change and Wage Inequality," CEPR Discussion Papers 1707, C.E.P.R. Discussion Papers.
- Artstein, Zvi, 1980. "Generalized Solutions to Continuous-Time Allocation Processes," Econometrica, Econometric Society, vol. 48(4), pages 899-922, May.
- Leung, S.F., 1992.
"Uncertain Lifetime, the Theory of the Consumer, and the Life Cycle Hypothesis,"
RCER Working Papers
323, University of Rochester - Center for Economic Research (RCER).
- Leung, Siu Fai, 1994. "Uncertain Lifetime, the Theory of the Consumer, and the Life Cycle Hypothesis," Econometrica, Econometric Society, vol. 62(5), pages 1233-39, September.
- Olivier J. Blanchard, 1984.
"Debt, Deficits and Finite Horizons,"
NBER Working Papers
1389, National Bureau of Economic Research, Inc.
- Kumar, T Krishna, 1969. "The Existence of an Optimal Economic Policy," Econometrica, Econometric Society, vol. 37(4), pages 600-610, October.
- Abrham, Jaromir, 1970. "An Approximate Method for Solving a Continuous Time Allocation Problem," Econometrica, Econometric Society, vol. 38(3), pages 473-81, May.
- Hart, Sergiu, 2002. "Values of perfectly competitive economies," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 57, pages 2169-2184 Elsevier.
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