The apparatus presented below was originally developed as part of a general model of social interaction in which widely diverse situations could be represented simply by changing the parameters.1 Basically, it is extremely individualistic. An individual is assumed to make decisions about action in the real world in an effort to maximize his own preference schedule. The anticipated reactions of other parts of the bureaucratic hierarchy in which he is operating are simply part of the environment in which he makes these decisions. Further, in many cases, he will face not a certain reaction from this environment, but a probability distribution of reactions. For ease of presentation, the expectation of the reactions will be used. This simplifies the model and, I think, causes no great difficulty.