Geodesic
Multistep games with information lag
Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part IX, Tome 142 (1985), pp. 152-159

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One investigates multistep antagonistic games with a variable information lag with alternative sets of arbitrary cardinality. One gives a theorem on the properties of the measure on the set of the trajectories of the game, induced by measurable behavior strategies, and a functional relation which generalizes Bellman's optimality principle. One shows the validity of the results for the general case of dynamical games. 
@article{ZNSL_1985_142_a16,
     author = {N. M. Slobozhanin},
     title = {Multistep games with information lag},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {152--159},
     publisher = {mathdoc},
     volume = {142},
     year = {1985},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1985_142_a16/}
}
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N. M. Slobozhanin. Multistep games with information lag. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part IX, Tome 142 (1985), pp. 152-159. http://geodesic.mathdoc.fr/item/ZNSL_1985_142_a16/