時間遅れを持つReplicator方程式 Replicator Equation with Time-Lag
This paper examines Evolutionary Game Theory, symmetric two person games and asymmetric two person games with continuous time-lag. This paper uses the property of Hopf bifurcation, introduced continuous time-lag into the representative model, generalization of the Rock-Scissors-Paper Game, Matching Pennies Game. This paper applies this lag to the Microeconomics, cobweb theory which usually uses discrete time-lag. This paper finds conditions of equivalent to discrete and continuous time-lag in the cobweb theory. Moreover, it formulates the cobweb theory with asymmetric two person game, the seller and the buyer, with continuous time-lag.
関西学院経済学研究 38, 289-304, 2007