ABSTRACT

Suppose a choice must be made among N alternatives. A network model is proposed in which the decision process is represented as a serial movement along the paths of the network, from node to node, along links connecting the nodes. The process along any link between two nodes may be thought of as a two choice process embedded within the larger network. Some of the nodes are choice nodes, corresponding to the N choices; choice j is selected at the time when the decision process reaches the choice node corresponding to choice j. Suppose that the probabilities of setting out from a node along the possible links are specified, and suppose that the subsequent probabilities of reaching either end of the link (and the times to do so) are derivable or assumed. This chapter gives simple analytic methods for deriving the choice probabilities and all the moments of the conditional and unconditional response time distributions.