Subject: Microeconomics in Game Theory

If there is a Bertrand oligopoly in the market for vaccine with government as one of the players, both of them will try to set a price which is profitable and yet yield maximum benefits. The government can play a bigger role here by ensuring that price is within affordable limits which will ensure that other firms in the market are not able to set too high a price. Similarly, if there is a Cournot model of oligopoly, then the firms compete by setting quantities. Here, firms can restrict quantities in order to earn profit. However, government can play a role by ensuring efficient amount of supply so that it is accessible to everyone.

Please explain the relationship of the Stackelberg Oligopoly with the government policy on vaccination of COVID-19 if the government is the first mover within the game between us (the people or population) and the government itself.

What government should do if the government will move first?