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Article

Keywords:
weakly maximal program; support prices; utility function; value function; Yosida-Hewitt decomposition; concave subdifferential
Summary:
We consider an infinite dimensional, nonstationary growth model with uncertainty. Using techniques from functional analysis and the subdifferentiation theory of concave functions, we establish the existence of a supporting price system for a weakly maximal program.
References:
[1] Aliprantis C., Brown D., Burkinshaw O.: Existence and Optimality of Competitive Equilibria. Springer, Berlin, 1988. MR 1075992 | Zbl 0676.90001
[2] Brock W.: On existence of weakly maximal programmes in a multisector economy. Review of Economic Studies 37 (1970), 275-280.
[3] Dana R.-A.: Evaluation of development programs in a stationary economy with bounded primary resources. in Proceedings of the Warsaw Symposium on Mathematical Methods in Economics, ed. J. Lös, North-Holland, Amsterdam, 1973, pp. 179-205. MR 0434339
[4] Diestel J., Uhl J.: Vector Measures. Math. Surveys, Vol. 15, AMS, Providence, RI, 1977. MR 0453964 | Zbl 0521.46035
[5] Ioffe A., Tichomirov V.: Theory of extremal Problems. North Holland, Amsterdam, 1979. MR 0528295
[6] Jeanjean P.: Optimal development programs under production uncertainty: The undiscounted case. J. Economic Theory 7 (1974), 66-92. MR 0459534
[7] Levin V.: The Lebesgue decomposition for functionals on the vector function space $L^\infty (X)$. Functional Analysis and Appl. 8 (1974), 314-317. MR 0370174
[8] Pantelides G., Papageorgiou N.S.: Weakly maximal stationary programs for a discrete-time, stochastic growth model. Japan Jour. Indust. Appl. Math. 10 (1993), 471-486. MR 1247878 | Zbl 0820.90022
[9] Radner R.: Optimal stationary consumption with stochastic production and resources. J. Economic Theory 6 (1973), 68-90. MR 0452560
[10] Rockafellar R.T.: Conjugate Duality and Optimization. Regional Conference Series in Appl. Math., Vol. 16, SIAM, Philadelphia, 1973. MR 0373611 | Zbl 0296.90036
[11] Takayama A.: Mathematical Economics. Cambridge University Press, Cambridge, 1985. MR 0832684 | Zbl 0568.90001
[12] Takekuma S.-I.: A support price theorem for the continuous time model of capital accumulation. Econometrica 50 (1982), 427-442. MR 0662288 | Zbl 0474.90012
[13] Wilansky A.: Modern Methods in Topological Vector Spaces. McGraw-Hill, New York, 1978. MR 0518316 | Zbl 0395.46001
[14] Yosida K., Hewitt E.: Finitely additive measures. Trans. Amer. Math. Soc. 72 (1952), 45-66. MR 0045194 | Zbl 0046.05401
[15] Zilha I.: Characterization by prices of optimal programs under uncertainty. J. Math. Economics 3 (1976), 173-183. MR 0421618
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