Abstract
The problem of decentralized control /1/ concerning the meeting of two players who arrive at a fixed place at random instants of time is considered. The players possess partial information about the uncontrolled factors, that is, they only know the instant of their own arrival at the designated site. In the case of the players, the common aim is to wait for one another while, at the same time, spending the smallest possible amount of time waiting. The discontinuity of the decision-making criterion is a special feature of the problem under consideration. The properties of the optimal strategy (OS) of a group /1–5/, that is, of the two players who are meeting, are investigated and a method is proposed for constructing it. An example of the location of an optimal strategy is presented for the case when there is a uniform distribution of the probability of the instants of arrival in an interval.
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