A Dynamic Game Theory Model for Analyzing Competition in the Oligopoly Markets

Privatization has led to the formation dynamic competition in markets, such as airline service providers with a limited number of suppliers and a large number of customers (oligopoly markets). Suppliers of goods and services in these markets are considering the behavior of competitors to determine the amount of products and advertisements in order to maximize their benefits. This paper investigates a differential oligopoly game model under open loop and close loop structures. By applying mathematical validation of the optimal levels of production (supply) and advertising cost, the proposed model used to analyze the market for airline services, and it is shown that parameters such as sticky price, substitutability among goods and advertising promotional efficiency on supply and advertising are effective in achieving sustainable equilibrium in such markets. Sensitivity analysis of the parameters in the proposed model shows that in open loop strategy when companies in an oligopoly market do not agree any agreement in all stages of competition, they will suffer a lot of financial burden.