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[1963] (with Barankin, E.W.) Generalization of the Fisher-Darmois-Koopman-Pitman theorem on sufficient statistics. Sankhyā, Ser. A, 25, 217–244. [MR 0171342 (30:1573) 62.05]
[1965] Dynamic programming for countable state systems. Sankhyā, Ser. A, 27, 241–248. [MR 0200080 (33:8220) 90.40]
[1966] A note on undiscounted dynamic programming. Ann. Math. Statist., 37, 1042–1044. [MR 0199017 (33:7167) 90.40]
[1966] On stable transformations. Sankhyā, Ser. A, 28, 25–34. [MR 0257321 (41:1972) 28.70 (60.00)]
[1968] Discounted dynamic programming on compact metric spaces. Sankhyāa, Ser. A, 30, 211–216. [MR 0237172 (38: 5463) 90.40]
[1969] A note on positive dynamic programming. Ann. Math. Statist., 40, 316–318. [MR 0250665 (40:3897) 90.40]
[1970] (with Parthasarathy, T.) On stochastic games. J. Optim. Theory Appl., 5, 289–300. [MR 0263438 (41:8043) 90.72]
[1970] Coanalytic sets that are not Blackwell spaces. Fund. Math., 67, 251–254. [MR 0266759 (42:1662) 04.40 (28.00)]
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[1971] (with Parthasarathy, T.) On stochastic games, II. J. Optim. Theory Appl., 8, 154–160. [MR 0299240 (45:8289) 93E05]
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[1974] (with Kuratowski, K.) Some theorems on selectors and their applications to semi-continuous decompositions. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys., 22, 877–881. [MR 0394558 (52: 15359) 54C65 (04A15, 28A05)]
[1975] (with Rao, B.V.) Selection theorems and the reduction principle. Trans. Amer. Math. Soc., 202, 57–66. [MR 0355960 (50:8433) 54C65]
[1975] A note on bimeasurable functions. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys., 23, 131–134. [MR 0377000 (51:13175) 28A20]
[1975] A note on de Finetti’s theorem on exchangeable sequences of random variables. Unpublished manuscript, 9 pages.
[1976] (with Rao, B.V.) Selection theorems for partitions of Polish spaces. Fund. Math., 93, 47–56. [MR 0493956 (58:12908) 54C65 (54E50)]
[1977] Integral representations of invariant measures. Trans. Amer. Math. Soc., 229, 209–225. [MR 0442197 (56:583) 28A65]
[1979] (with Rao, B.V. and Bhaskara Rao, K.P.S.) A problem in the extension of measures. Illinois J. Math., 23, 211–216. [MR 528558 (80d:28011) 28A10]
[1979] (with Rao B.V. Generalizations of Castaing’s theorem on selectors. Colloq. Math., 42, 295–300. [MR 567567 (82m:28024) 28B20]
[1980] Analytic sets with countable sections. Fund. Math., 110, 101–106. [MR 600583 (82d:54043) 54H05]
[1981] Extensions of measurable functions. Colloq. Math., 44, 99–104. [MR 633102 (83b:54016) 54C20 (28A20 54H05)]
[1982] An effective selection theorem. J. Symbolic Logic, 47, 388–394. [MR 654794 (83m:03060) 03E15 (04A15)]
[1983] Selectors for Borel sets with large sections. Proc. Amer. Math. Soc., 89, 705–708. [MR 719000 (84k:54015) 54C65 (28C15 54H05)]
[1984] (with Levi, S.) Borel measurable images of Polish spaces. Proc. Amer. Math. Soc., 92, 98–102. [MR 749900 (85m:54041) 54H05 (28A20 54C65)]
[1984] (with Blackwell, D.) Factorization of probability measures and absolutely measurable sets. Proc. Amer. Math. Soc., 92, 251–254. [MR 754713 (85j:28005) 28A50 (60A10)]
[1985] (with Srivatsa, V.V.) Parametrizations of Borel sets with large sections. Proc. Amer. Math. Soc., 93, 543–548. [MR 774020 (86k:54031) 54C65 (03E15 04A15 20B20 28A05 54H05)]
[1988] (with Ramakrishnan, S.) Factorization of measures and normal conditional distributions. Proc. Amer. Math. Soc., 103, 1259–1267. [MR 955019 (89g:60005) 60A10 (28D05)]
[1988] (with Rao, B.V. and Srivatsa, V.V.) Some applications of selection theorems to parametrization problems. Proc. Amer. Math. Soc., 104, 96–100. [MR 958050 (90c:28008) 28A20 (04A15 54C65)]
[1989] (with Dubins, L., Purves, R. and Sudderth, W.) Measurable, nonleavable gambling problems. Israel J. Math., 67, 257–271. [MR 1029901 (91d:60101) 60G40]
[1990] (with Purves, R. and Sudderth, W.) Leavable gambling problems with unbounded utilities. Trans. Amer. Math. Soc., 320, 543–567. [MR 989581 (91g:60054) 60G40 (03E15 03E35 62L15 90D60 93E20)]
[1990] (with Pestien, V. and Ramakrishnan, S.) Domination by Borel stopping times and some separation properties. Fund. Math., 135, 189–201. [MR 1077510 (92i:54039) 54H05 (04A15 60G40)]
[1991] (with Purves, R. and Sudderth, W.) A Borel measurable version of Konig’s lemma for random paths. Ann. Probab., 19, 423–451. [MR 1085346 (92g:60059) 60G40 (03E15)]
[1991] (with Purves, R. and Sudderth, W.) A capacitability theorem in finitely additive gambling. Rend. Mat. Appl. (7), 11, 819–842. [MR 1151601 (93d:60077) 60G40 (28A12 90D60 93E20)]
[1992] (with Burgess, J.P.) Nonexistence of measurable optimal selections. Proc. Amer. Math. Soc., 116, 1101–1106. [MR 1120505 (93b:28030) 28B20 (54C65 90C39)]
[1992] (with Purves, R. and Sudderth, W.) A capacitability theorem in measurable gambling theory. Trans. Amer. Math. Soc., 333, 221–249. [MR 1140918 (92k:60091) 60G40 (90D60 93E20)]
[1992] (with Sudderth, W.) An operator solution of stochastic games. Israel J. Math., 78, 33–49. [MR 1194957 (93k:90114) 90D15 (90D05 93E05)]
[1992] (with Sudderth, W.) The optimal reward operator in negative dynamic programming. Math. Oper. Res., 17, 921–931. [MR 1196402 (94c:90107) 90C39 (04A15 90C40 93E20)]
[1992] (with Purves, R. and Sudderth, W.) Approximation theorems for gambling problems and stochastic games. In Game Theory and Economic Applications (New Delhi, 1990), (B. Dutta, D. Mookherjee, T. Parthasarathy, T.E.S. Raghavan, D. Ray and S. Tijs, eds.). Lecture Notes in Econom. and Math. Systems, 389. Springer, Berlin, 114–132. [MR 1228669 (94g:90189) 90D15 (90D60)]
[1993] (with Sudderth, W.) Borel stochastic games with lim sup payoff. Ann. Probab., 21, 861–885. [MR 1217569 (94c:90124) 90D15 (60G40 93E05)]
[1993] (with Sudderth, W.) Finitely additive and measurable stochastic games. Internat. J. Game Theory, 22, 201–223. [MR 1242447 (94i:90177) 90D15]
[1994] Multiple separation theorems. Proc. Amer. Math. Soc., 120, 573–576. [MR 1164147 (94d:03103) 03E15 (04A15)]
[1995] (with Sudderth, W.) Stochastic games and operators. In Topics in Contemporary Probability and Its Applications, (J.L. Snell, ed.). Probab. Stochastics Ser. CRC, Boca Raton, FL, 291–319. [MR 1410541 (97g:90192) 90D15 (90-02)]
[1996] (with Sudderth, W.) The gambler and the stopper. In Statistics, Probability and Game Theory, (T.S. Ferguson, L.S. Shapley and J.B. MacQueen, eds.). IMS Lecture Notes Monogr. Ser., 30. Inst. Math. Statist., Hayward, CA, 191–208. [MR 1481781 (99a:90257) 90D15 (60G40)]
[1998] (with Sudderth, W.) Finitely additive stochastic games with Borel measurable payoffs. Internat. J. Game Theory, 27, 257–267. [MR 1645524 (2000d:91020) 91A15]
[1999] (with Sudderth, W.) An introduction to gambling theory and its applications to stochastic games. In Stochastic and Differential Games, (T.S. Ferguson, L.S. Shapley and J.B. MacQueen, eds.). Ann. Internat. Soc. Dynam. Games, 4, Birkhauser Boston, Boston, MA, 251–269. [MR 1678282 (2000b:91043) 91A60 (91A15)]
[2000] (with Sudderth, W.) Saturations of gambling houses. In Seminaire de Probabilites, XXXIV, (J. Azéma, M. Émery, M. Ledoux and M. Yor, eds.). Lecture Notes in Math., 1729, Springer, Berlin, 218–238. [MR 1768066 (2001g:60094) 60G40 (91A60)]
[2000] (with Sudderth, W.) Randomized strategies and terminal distributions. In Game Theory, Optimal Stopping, Probability and Statistics, (F.T. Bruss and L. Le Cam, eds.). IMS Lecture Notes Monogr. Ser., 35. Inst. Math. Statist., Beachwood, OH, 39–52. [MR 1833850 (2002d:91024) 91A60 (03E15 28A12 60G40)]
[2002] (with Dubins, L.E. and Sudderth, W.) Invariant gambling problems and Markov decision processes. In Handbook of Markov Decision Processes, (E.A. Feinberg and A. Shwartz, eds.). Internat. Ser. Oper. Res. Management Sci., 40. Kluwer Acad. Publ., Boston, MA, 409–428. [MR 1887210 90C40 (91A60)]
[2002] (with Sudderth, W.) The balayage order defined by a gambling house. Sankhyā, Ser. A, 64, 852–867. [MR 1981515 (2004m:60088) 60G40 (46A55 46N30 60E15 91A60)]
[2003] (with Sudderth, W.) Stochastic games with lim sup payoff. In Stochastic Games and Applications (Stony Brook, NY, 1999), (A. Neyman and S. Sorin, eds.). NATO Sci. Ser. C Math. Phys. Sci., 570. Kluwer Acad. Publ., Dordrecht, 357–366. [MR 2035566 91A15]
[2003] (with Sudderth, W.) Stochastic games with Borel payoffs. In Stochastic Games and Applications (Stony Brook, NY, 1999), (A. Neyman and S. Sorin, eds.). NATO Sci. Ser. C Math. Phys. Sci., 570. Kluwer Acad. Publ., Dordrecht, 367–373. [MR 2035567 (2004k:91030) 91A15]
[2003] (with Sudderth, W.) Borel stay-in-a-set games. Internat. J. Game Theory, 32, 97–108. [MR 2046681 (2004m:91026) 91A15 (46A55 46N10 60E15 60G40)]
[2007] (with Barua, R.) Borel hierarchies in infinite products of Polish spaces. Proc. Indian Acad. Sci. (Math. Sci.), 117, 205–211. [MR 2329502 (2008d:03046) 03E15 (54H05)]
[2007] (with Sudderth, W.) Subgame-perfect equilibria for stochastic games. Math. Oper. Res., 32, 711–722. [MR 2348244 (2008g:91048) 91A15 (28B20)]
[2010] Ordinal solutions of open games and analytic sets. Sankhyā, Ser. A, 72, 19–36.
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We acknowledge INSA for permitting us to publish this article, written by B.V. Rao, here in a modified form.
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Rao, B.V. Ashok Prasad Maitra (1938–2008). Sankhya 72, 1–18 (2010). https://doi.org/10.1007/s13171-010-0002-9
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DOI: https://doi.org/10.1007/s13171-010-0002-9