This paper proposes a Nash equilibrium model that applies continuous time replicator dynamics to the analysis of oligopoly markets. The robustness of the proposed simple Nash equilibrium model under the simultaneous constraints of allocation of product and market share using a simulation method...

The present analysis applies continuous time replicator dynamics to the analysis of oligopoly markets. In the present paper, we discuss continuous game problems in which decision-making variables for each player are bounded on a simplex by equalities and non-negative constraints. Several types...

The present analysis is an application of the continuous time replicator dynamic to economics. Three types of problems are considered under conditions of a normalized constraint and non-negative constrains. The story of the following models is as follows. There are three or more corporations in...