Please help me by checking my answers if it is correct or not.

Attached is the quiz with my answers highlighted in yellow color

Please check my answer and re corrected if there is any mistakes

Simultaneous Games 1.Question 1 Which of the following statements are true? (There can be more than 1 correct answer) Players, actions, rules and payoffs are important parts of a game (in terms of game theory). Rational players take only the payoffs into consideration when making a decision. A rational player will never play a dominated strategy. If each player has a dominant strategy, there will be a Nash Equilibrium in the game. Every game must have at least one Nash Equilibrium. Every game must have a dominant strategy. In a prisoner's dilemma game the highest outcome for both players is reached. 2.Question 2 Assume that two big communication companies (Secchat and Safetalk) are thinking about developing an innovative chat system for smartphones. Both companies can either develop the new technology or not. Given the dynamics and characteristics of the market, there is only room for one new chat system. The payoffs would look like this: How many Nash Equilibria are in this one periodic game? 1 2 3 0 4 3- Your business intelligence department realizes that they made a mistake in calculating the expected payoffs. Instead, they expect payoffs as shown in the game matrix below. They are not sure about what payoffs Pepsi and Cola can receive if they both do not advertise. What payoffs would they have to receive in order to turn this game into a prisoners' dilemma? 10020 X