References to problems left open are here indexed in order of occurrence.
Limited stakes and bold play, 4
Replacement of U by V, 38
Extensions of selection theorem, 38
Existence of stationary family of good strategies, 58
Possible regularity of casino functions, 70
Continuity of U in Г for casinos, 76
Operations directly on casinos, 79
One-game casino functions, 81
Mutual singularity of primitive casino functions, 101
Cartesian sequence of higher order, 107
Cartesianness of a sequence, 107
Imitators, of unions of primitive casinos, 113
of the fair casino function, 113
Nonuniform roulette, 120
Casino functions of generalized uniform roulette, 121
Construction of excessive functions, 135
Replacement of U by V in connection with dominance, 139
Characterization of U of a house decreasing in displacement, 141
Countable additivity a real limitation?, 141
Replacement of U by V in inequality, 142
Strict monotony and stationary houses, 142
Functions carried into casinoe makers by casinoe makers, 156
Main question about translational families, 186
Expected number of trials to reach goal, 196
Blindfold roulette, 223
Continuous-time gambling, 231