Support prices for weakly maximal programs of a growth model with uncertainty
Papageorgiou, Nikolaos S.
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994), p. 581-595 / Harvested from Czech Digital Mathematics Library

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.

Publié le : 1994-01-01
Classification:  49B20,  49J52,  90A15,  90A16,  90C90,  91B60,  91B62
@article{118699,
     author = {Nikolaos S. Papageorgiou},
     title = {Support prices for weakly maximal programs of a growth model with uncertainty},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {35},
     year = {1994},
     pages = {581-595},
     zbl = {0820.90023},
     mrnumber = {1307286},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118699}
}
Papageorgiou, Nikolaos S. Support prices for weakly maximal programs of a growth model with uncertainty. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) pp. 581-595. http://gdmltest.u-ga.fr/item/118699/

Aliprantis C.; Brown D.; Burkinshaw O. Existence and Optimality of Competitive Equilibria, Springer, Berlin, 1988. | MR 1075992 | Zbl 0676.90001

Brock W. On existence of weakly maximal programmes in a multisector economy, Review of Economic Studies 37 (1970), 275-280. (1970)

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

Diestel J.; Uhl J. Vector Measures, Math. Surveys, Vol. 15, AMS, Providence, RI, 1977. | MR 0453964 | Zbl 0521.46035

Ioffe A.; Tichomirov V. Theory of extremal Problems, North Holland, Amsterdam, 1979. | MR 0528295

Jeanjean P. Optimal development programs under production uncertainty: The undiscounted case, J. Economic Theory 7 (1974), 66-92. (1974) | MR 0459534

Levin V. The Lebesgue decomposition for functionals on the vector function space $L^\infty (X)$, Functional Analysis and Appl. 8 (1974), 314-317. (1974) | MR 0370174

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. (1993) | MR 1247878 | Zbl 0820.90022

Radner R. Optimal stationary consumption with stochastic production and resources, J. Economic Theory 6 (1973), 68-90. (1973) | MR 0452560

Rockafellar R.T. Conjugate Duality and Optimization, Regional Conference Series in Appl. Math., Vol. 16, SIAM, Philadelphia, 1973. | MR 0373611 | Zbl 0296.90036

Takayama A. Mathematical Economics, Cambridge University Press, Cambridge, 1985. | MR 0832684 | Zbl 0568.90001

Takekuma S.-I. A support price theorem for the continuous time model of capital accumulation, Econometrica 50 (1982), 427-442. (1982) | MR 0662288 | Zbl 0474.90012

Wilansky A. Modern Methods in Topological Vector Spaces, McGraw-Hill, New York, 1978. | MR 0518316 | Zbl 0395.46001

Yosida K.; Hewitt E. Finitely additive measures, Trans. Amer. Math. Soc. 72 (1952), 45-66. (1952) | MR 0045194 | Zbl 0046.05401

Zilha I. Characterization by prices of optimal programs under uncertainty, J. Math. Economics 3 (1976), 173-183. (1976) | MR 0421618