[1] C. D. Aliprantis, K. C. Border:
Infinite Dimensional Analysis. Third Edition. Springer-Verlag, Berlin 2006.
MR 2378491 |
Zbl 1156.46001
[4] L. M. Ausubel, R. J. Deneckere:
A generalized theorem of the maximum. Econom. Theory 3 (1993), 99-107.
MR 1211955 |
Zbl 1002.49500
[5] C. Berge:
Topological Spaces. Oliver and Boyd, Edinburgh and London 1963 (reprinted by Dover Publications, Inc., Mineola, New York 1997).
MR 1464690 |
Zbl 0114.38602
[6] D. Cruz-Suárez, R. Montes-de-Oca, F. Salem-Silva:
Conditions for the uniqueness of optimal policies of discounted Markov decision processes. Math. Methods Oper. Res. 60 (2004), 415-436.
MR 2106092 |
Zbl 1104.90053
[8] P. K. Dutta, M. K.Majumdar, R. K. Sundaram:
Parametric continuity in dynamic programming problems. J. Econom. Dynam. Control 18 (1994), 1069-1092.
MR 1298092 |
Zbl 0875.90096
[9] P. K. Dutta, T. Mitra:
Maximum theorems for convex structures with an application to the theory of optimal intertemporal allocations. J. Math. Econom. 18 (1989), 77-86.
MR 0985949
[10] O. Hernández-Lerma, J. B. Lasserre:
Discrete-Time Markov Control Processes: Basic Optimality Criteria. Springer-Verlag, New York 1996.
MR 1363487 |
Zbl 0840.93001
[11] O. Hernández-Lerma, W. J. Runggaldier:
Monotone approximations for convex stochastic control problems. J. Math. Systems Estim. Control 4 (1994), 99-140.
MR 1298550 |
Zbl 0812.93078
[12] K. Hinderer:
Lipschitz continuity of value functions in Markovian decision Processes. Math. Methods Oper. Res. 60 (2005), 3-22.
MR 2226965 |
Zbl 1093.90075
[13] K. Hinderer, M. Stieglitz:
Increasing and Lipschitz continuous minimizers in one-dimensional linear-convex systems without constraints: the continuous and the discrete case. Math. Methods Oper. Res. 44 (1996), 189-204.
MR 1409065 |
Zbl 0860.90126
[14] A. Horsley, A. J. Wrobel, T. Van Zandt:
Berge's maximum theorem with two topologies on the action set. Econom. Lett. 61 (1998), 285-291.
MR 1676329 |
Zbl 0913.90079
[15] J. S. Jordan:
The continuity of optimal dynamic decision rules. Econometrica 45 (1977), 1365-1376.
MR 0456573 |
Zbl 0363.90035
[16] T. Kamihigashi:
Stochastic optimal growth with bounded or unbounded utility and with bounded or unbounded shocks. J. Math. Econom. 43 (2007), 477-500.
MR 2317118 |
Zbl 1154.91032
[17] T. Kamihigashi, S. Roy:
A nonsmooth, nonconvex model of optimal growth. J. Econom. Theory 132 (2007), 435-460.
MR 2285614 |
Zbl 1142.91667
[18] R. B. King:
Beyond Quartic Equation. Birkhauser, Boston 1996.
MR 1401346
[19] M. Kitayev:
Semi-Markov and jump Markov control models: average cost criterion. Theory Probab. Appl. 30 (1985), 272-288.
MR 0792619
[20] D. V. Lindley:
The theory of queues with a single server. Proc. Cambridge Philos. Soc. 48 (1952), 277-289.
MR 0046597 |
Zbl 0046.35501
[21] M. Majumdar, R. Radner:
Stationary optimal policies with discounting in a stochastic activity analysis model. Econometrica 51 (1983), 1821-1837.
MR 0720089
[22] S. P. Meyn:
Ergodic Theorems for discrete time stochastic systems using a stochastic Lyapunov functions. SIAM J. Control Optim. 27 (1989), 1409-1439.
MR 1022436
[23] E. A. Ok:
Real Analysis with Economic Applications. Princeton University Press, Princeton 2007.
MR 2275400 |
Zbl 1119.26001
[24] A. L. Peressini, F. E. Sullivan, J. J. Uhl:
The Mathematics of Nonlinear Programming. Springer-Verlag, New York 1988.
MR 0932726 |
Zbl 0663.90054
[25] M. L. Puterman:
Markov Decision Processes: Discrete Stochastic Dynamic Programming. John Wiley, New York 1994.
MR 1270015 |
Zbl 1184.90170
[26] U. Rieder:
Measurable selection theorems for optimization problems. Manuscripta Math. 24 (1978), 115-131.
MR 0493590 |
Zbl 0385.28005
[28] R. H. Stockbridge:
Time-average control of martingale problems: a linear programming formulation. Ann. Probab. 18 (1990), 291-314.
MR 1043944 |
Zbl 0699.49019
[29] R. Sundaram:
A First Course in Optimization Theory. Cambridge University Press, Cambridge 1996.
MR 1402910 |
Zbl 0885.90106
[30] G. Tian, J. Zhou:
The maximum theorem and the existence of Nash equilibrium of (generalized) games without lower semicontinuities. J. Math. Anal. Appl. 166 (1992), 351-364.
MR 1160931 |
Zbl 0761.90110
[31] G. Tian, J. Zhou:
Transfer continuities, generalizations of the Weierstrass and maximum theorem: a full characterization. J. Math. Econom. 24 (1995), 281-303.
MR 1320200
[32] M. Walker:
A generalization of the maximum theorem. Internat. Econom. Rev. 20 (1979), 267-272.
MR 0525439 |
Zbl 0406.90001
[33] A. Yushkevich:
Blackwell optimality in Borelian continuous-in-action Markov decision processes. SIAM J. Control Optim. 35 (1997), 2157-2182.
MR 1478659 |
Zbl 0892.93059