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Market share in duopoly game :
This paper is based on the assumption that efforts which include innovation, cost on production and efficiency affect market share in duopoly game. We develop a model and simulation for two combinations of how firms decide their capacity of production based on bounded rationality and adaptive expectations which in turn lead to a pair of firm's strategies: Homogeneous and heterogeneous. If some effort on market share only accur in one firm, the simulation using bifurcation map with rate of market share as control parameter showing that for the firm with homogeneous will dominate most of all value control parameter. What happens on firm with heterogeneous strategy is otherwise. An interesting result is that competition which starts from homogeneous strategy in a duopoly market will end up in a monopoly for certain value of control parameter. Attractor on chaotic condition for both firms show domination of one firms over its rival.het.
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