One of the main and effective strategies to achieve sustainable urban traort is to change the user’s traortation mode from private vehicles to more efficient and sustainable options, such as public traortation. Various policies, such as improving the quality of public traortation services, such as creating a BRT system, integrating public traortation and bicycles, and demand management methods such as cordon pricing, can be taken to change the mode choice behavior of citizens. In previous studies, Models such as discrete choice models, different types of logit models and regression analyzes have been used to study the mode choice behavior of travelers. This study investigates the competition between public traortation and private car. In this research, the game theory approach has been used to assess the competition between public traortation system and private car in traveling to the city center. Parking operator (for private cars) and public traort operator are considered as problem decision makers. The initial assumption is that the parking operator tends to maximize his own profits, while the public traort operator maximizes social welfare, which is a weighted sum of profit and consumer surplus. Parking operator and public traort operator determine their equilibrium prices. In this problem, it is assumed that Parking is prohibited on the street, and travelers who intend to use a private car must use parking for the car park. Travelers who are sensitive to fares, considering the utility of their trip, decide on the type of transit mode, and thus the amount of demand and the share of each mode is determined. Subsequently, the policies such as cordon pricing, Use the bike in the access point to the public transit station, one-way passages, increasing car operating costs, and increasing the bus speed came into the problem and their effect on the share of the public traortation is examined. After comparing the results, it was found that increasing the speed of public traortation is the most effective single policy in increasing the share of public traortation. The results also showed that the application of demand management policies has a significant effect on increasing the share of public traortation. The significance of the results of this research is to introduce a new method for investigating the factors affecting the competitiveness between public traortation and private car on trips to the city's central boundaries. This method of mathematical modeling can be used for other competitions between urban traortation modes as well as in other conditions and cities. Keywords : Demand Management, Public Traortation, Private car, Mode Choice, Competition, Game Theory