Saturations of gambling houses
Séminaire de probabilités, Tome 34 (2000), pp. 218-238 
@article{SPS_2000__34__218_0,
     author = {Maitra, A. and Sudderth, Williams D.},
     title = {Saturations of gambling houses},
     journal = {S\'eminaire de probabilit\'es},
     pages = {218--238},
     year = {2000},
     publisher = {Springer - Lecture Notes in Mathematics},
     volume = {34},
     mrnumber = {1768066},
     zbl = {0963.91017},
     language = {en},
     url = {https://www.numdam.org/item/SPS_2000__34__218_0/}
}
TY  - JOUR
AU  - Maitra, A.
AU  - Sudderth, Williams D.
TI  - Saturations of gambling houses
JO  - Séminaire de probabilités
PY  - 2000
SP  - 218
EP  - 238
VL  - 34
PB  - Springer - Lecture Notes in Mathematics
UR  - https://www.numdam.org/item/SPS_2000__34__218_0/
LA  - en
ID  - SPS_2000__34__218_0
ER  - 
%0 Journal Article
%A Maitra, A.
%A Sudderth, Williams D.
%T Saturations of gambling houses
%J Séminaire de probabilités
%D 2000
%P 218-238
%V 34
%I Springer - Lecture Notes in Mathematics
%U https://www.numdam.org/item/SPS_2000__34__218_0/
%G en
%F SPS_2000__34__218_0
Maitra, A.; Sudderth, Williams D. Saturations of gambling houses. Séminaire de probabilités, Tome 34 (2000), pp. 218-238. https://www.numdam.org/item/SPS_2000__34__218_0/

[1] T.E. Armstrong, Full houses and cones of excessive functions, Indiana Univ. Math. J. 29(1980), 737-746. | Zbl | MR

[2] R.J. Aumann, Mixed and behavior strategies in infinite extensive games, Ann. Math. Studies 53(1964), 627-650. | Zbl | MR

[3] D.P. Bertsekas and S.E. Shreve, Stochastic Optimal Control: The Discrete Time Case, Academic Press, New York, 1978. | Zbl | MR

[4] C. Dellacherie, Quelques résultats sur les maisons de jeux analytiques, Séminaire de Probabilités XIX, Strasbourg 1983-84, Lecture Notes in Math., vol. 1123, Springer-Verlag, Berlin and New York, 1985, pp. 222-229. | Zbl | MR | Numdam

[5] C. Dellacherie and P.A. Meyer, Probabilitiés et Potentiel, Hermann, Paris, Chapter XI, 1983. | MR

[6] L.E. Dubins and L.J. Savage, Inequalities for Stochastic Processes, Dover, New York, 1976. | Zbl | MR

[7] L.E. Dubins and D.A. Freedman, Measurable sets of measures, Pacific J. Math. 14(1964), 1211-1222. | Zbl | MR

[8] L. Dubins, A. Maitra, R. Purves and W. Sudderth, Measurable, nonleavable gambling problems, Israel J. Math. 67(1989), 257-271. | Zbl | MR

[9] E.A. Feinberg, On measurability and representation of strategic measures in Markov decision processes, in : T. S. Ferguson, L. S. Shapley and J. B. MacQueen (editors), Statistics, Probability and Game Theory, Lecture Notes-Monograph Series, vol. 30, Institute of Math. Statist., Hayward, CA, 1996, pp. 29-43. | MR

[10] A.S. Kechris, Classical Descriptive Set Theory, Springer-Verlag, Berlin and New York, 1995. | Zbl | MR

[11] A. Louveau, Ensembles analytiques et boreliens dans les espaces produits, Astérisque 78(1980), 1-84. | Zbl | MR | Numdam

[12] A. Louveau, Recursivity and capacity theory, Proc. Sympos. Pure Math., vol. 42, Amer. Math. Soc., Providence, R.I., 1985, pp. 285-301. | Zbl | MR

[13] A.P. Maitra and W.D. Sudderth, Discrete Gambling and Stochastic Games, Springer, New York, 1996. | Zbl | MR

[14] A. Maitra, R. Purves and W. Sudderth, Leavable gambling problems with unbounded utilities, Trans. Amer. Math. Soc. 320(1990), 543-567. | Zbl | MR

[15] A. Maitra, R. Purves and W. Sudderth, A Borel measurable version of Konig's Lemma for random paths, Ann. Probab. 19(1991), 423-451. | Zbl | MR

[16] A. Maitra, R. Purves and W. Sudderth, A capacitability theorem in measurable gambling theory, Trans. Amer. Math. Soc. 333(1992), 221-249. | Zbl | MR

[17] P.A. Meyer and M. Traki, Reduites et jeux de hasard, Séminaire de Probabilitiés VII Strasbourg 1971-72, Lecture Notes in Math., vol. 321, Springer-Verlag, Berlin and New York, 1973, pp. 155-171. | Zbl | MR | Numdam

[18] Y.N. Moschovakis, Descriptive Set Theory, North-Holland, Amsterdam, 1980. | Zbl | MR

[19] R.E. Strauch, Measurable gambling houses, Trans. Amer. Math. Soc. 126(1967), 64-72. (correction, 130(1968), 184.) | Zbl | MR