Sequential games with random priority
Tadeusz Radzik, Krzysztof Szajowski · Sequential Analysis · 1990
The paper deals with a class of two-person zero-sum sequential games related to a partial observation of random variables X1,X2,...,XN by the players. Each player, based on some indirect information, selects a moment t, l≤t≤N. In this way he communicates that he would like to accept an unknown realization xt of Xt. When only one player selects the moment t then he obtains the required realization. If both players select the same moment t, then there is a lottery choosing either Player 1 or Player 2. The player chosen by the lottery obtains the realization xt and the player thus deprived of the acceptance of xt at t