Saturations of gambling houses

A. Maitra; Williams D. Sudderth

Séminaire de probabilités de Strasbourg (2000)

  • Volume: 34, page 218-238

How to cite


Maitra, A., and Sudderth, Williams D.. "Saturations of gambling houses." Séminaire de probabilités de Strasbourg 34 (2000): 218-238. <>.

author = {Maitra, A., Sudderth, Williams D.},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {Polish space; gambling house; optimal reward; saturations; analytic gambling houses},
language = {eng},
pages = {218-238},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Saturations of gambling houses},
url = {},
volume = {34},
year = {2000},

AU - Maitra, A.
AU - Sudderth, Williams D.
TI - Saturations of gambling houses
JO - Séminaire de probabilités de Strasbourg
PY - 2000
PB - Springer - Lecture Notes in Mathematics
VL - 34
SP - 218
EP - 238
LA - eng
KW - Polish space; gambling house; optimal reward; saturations; analytic gambling houses
UR -
ER -


  1. [1] T.E. Armstrong, Full houses and cones of excessive functions, Indiana Univ. Math. J.29(1980), 737-746. Zbl0417.60053MR589439
  2. [2] R.J. Aumann, Mixed and behavior strategies in infinite extensive games, Ann. Math. Studies53(1964), 627-650. Zbl0173.47803MR176844
  3. [3] D.P. Bertsekas and S.E. Shreve, Stochastic Optimal Control: The Discrete Time Case, Academic Press, New York, 1978. Zbl0471.93002MR511544
  4. [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. Zbl0565.60041MR889480
  5. [5] C. Dellacherie and P.A. Meyer, Probabilitiés et Potentiel, Hermann, Paris, Chapter XI, 1983. Zbl0526.60001MR727641
  6. [6] L.E. Dubins and L.J. Savage, Inequalities for Stochastic Processes, Dover, New York, 1976. Zbl0359.60002MR410875
  7. [7] L.E. Dubins and D.A. Freedman, Measurable sets of measures, Pacific J. Math.14(1964), 1211-1222. Zbl0148.03002MR174687
  8. [8] L. Dubins, A. Maitra, R. Purves and W. Sudderth, Measurable, nonleavable gambling problems, Israel J. Math.67(1989), 257-271. Zbl0694.60038MR1029901
  9. [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. MR1481771
  10. [10] A.S. Kechris, Classical Descriptive Set Theory, Springer-Verlag, Berlin and New York, 1995. Zbl0819.04002MR1321597
  11. [11] A. Louveau, Ensembles analytiques et boreliens dans les espaces produits, Astérisque78(1980), 1-84. Zbl0526.03030MR606933
  12. [12] A. Louveau, Recursivity and capacity theory, Proc. Sympos. Pure Math., vol. 42, Amer. Math. Soc., Providence, R.I., 1985, pp. 285-301. Zbl0594.03027MR791064
  13. [13] A.P. Maitra and W.D. Sudderth, Discrete Gambling and Stochastic Games, Springer, New York, 1996. Zbl0864.90148MR1382657
  14. [14] A. Maitra, R. Purves and W. Sudderth, Leavable gambling problems with unbounded utilities, Trans. Amer. Math. Soc.320(1990), 543-567. Zbl0753.60043MR989581
  15. [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. Zbl0722.60037MR1085346
  16. [16] A. Maitra, R. Purves and W. Sudderth, A capacitability theorem in measurable gambling theory, Trans. Amer. Math. Soc.333(1992), 221-249. Zbl0757.60039MR1140918
  17. [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. Zbl0263.90052MR370753
  18. [18] Y.N. Moschovakis, Descriptive Set Theory, North-Holland, Amsterdam, 1980. Zbl0433.03025MR561709
  19. [19] R.E. Strauch, Measurable gambling houses, Trans. Amer. Math. Soc.126(1967), 64-72. (correction, 130(1968), 184.) Zbl0166.15705MR205352

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