Transmission models with the delay of time

Weibull(1995) made a new type of transmission model as an imitation model of the evolutionary game theory. His model, unlike previous models, can describe the state in which two cultural elements coexist. Moreover, since the transmission equation of the model is driven by profit structure, this model can explain various social phenomena by varying the profit structure. But, the transmission model of Weibull(1995) which consists of two cultural elements, similar to previous transmission models, cannot describe such a unimodal movement in which a cultural element initially spreads and yet eventually goes out of fashion, or such a cyclical movement in which the number of people that adopt a cultural element oscillates. Moreover, in reality, it is not possible to know the current social state, but only to know the previous social state of a slightly previous period. Thus, in this paper we insist that models must incorporate the delay of time, a factor which has thus far been ignored. Using the model with the delay of time, this paper acquires an implication that more accurate information may incur social unrest.