Two restaurants, Fried Bird and Tofu Delights, are simultaneously choosing their locations. Either firm can either choose to locate in the City or in the Suburbs. The payoffs are as follows. If one firm choose City and the other Suburbs, each firm gets 0. If both firms go to the City, Fried Bird gets 5 and Tofu Delights 10. If both opt for the Suburbs, Fried Bird gets 15 and Tofu Delights 2. What are the Nash equilibria?Group of answer choices(Suburbs, Suburbs)(City, City) and (Suburbs, Suburbs)(City, Suburbs) and (Suburbs, City)(City, City)(Suburbs, City)

Let's analyze each statement:

1. (Suburbs, Suburbs): If Fried Bird chooses Suburbs and Tofu Delights chooses Suburbs, Fried Bird would not want to change its strategy, but Tofu Delights would want to change its strategy to City to get a higher payoff (10 instead of 2). So, this is not a Nash equilibrium.

2. (City, City) and (Suburbs, Suburbs): If Fried Bird chooses City and Tofu Delights chooses City, neither player would want to change their strategy given the other's choice. So, this is a Nash equilibrium. However, as we saw in the previous point, (Suburbs, Suburbs) is not a Nash equilibrium. So, this statement is not true.

3. (City, Suburbs) and (Suburbs, City): If Fried Bird chooses City and Tofu Delights chooses Suburbs, both players would want to change their strategies to get a higher payoff. So, this is not a Nash equilibrium. Similarly, if Fried Bird chooses Suburbs and Tofu Delights chooses City, both players would want to change their strategies to get a higher payoff. So, this is also not a Nash equilibrium. Therefore, this statement is not true.

4. (City, City): As we saw in the second point, this is a Nash equilibrium.

5. (Suburbs, City): If Fried Bird chooses Suburbs and Tofu Delights chooses City, Fried Bird would want to change its strategy to City to get a higher payoff (5 instead of 15), but Tofu Delights would not want to change its strategy. So, this is not a Nash equilibrium.

So, the true statement is: "(City, City)".

To find the Nash equilibria, we need to identify the situations where neither restaurant has an incentive to unilaterally change their strategy given the other restaurant's strategy.

1. (Suburbs, Suburbs): If both restaurants choose Suburbs, the payoffs are 15 for Fried Bird and 2 for Tofu Delights. Neither restaurant can improve their payoff by unilaterally changing their strategy to City (as the payoff would decrease to 0 for both), so (Suburbs, Suburbs) is a Nash equilibrium.

2. (City, City): If both restaurants choose City, the payoffs are 5 for Fried Bird and 10 for Tofu Delights. Fried Bird could improve their payoff by unilaterally changing their strategy to Suburbs (as the payoff would increase to 15), so (City, City) is not a Nash equilibrium.

3. (City, Suburbs): If Fried Bird chooses City and Tofu Delights chooses Suburbs, the payoffs are 0 for both. Both restaurants could improve their payoff by unilaterally changing their strategy (Fried Bird to Suburbs for a payoff of 15, Tofu Delights to City for a payoff of 10), so (City, Suburbs) is not a Nash equilibrium.

4. (Suburbs, City): If Fried Bird chooses Suburbs and Tofu Delights chooses City, the payoffs are 0 for both. Both restaurants could improve their payoff by unilaterally changing their strategy (Fried Bird to City for a payoff of 5, Tofu Delights to Suburbs for a payoff of 2), so (Suburbs, City) is not a Nash equilibrium.

So, the only Nash equilibrium in this game is (Suburbs, Suburbs). Therefore, the correct answer is "(Suburbs, Suburbs)".

Let's analyze each statement:

1. (Suburbs, Suburbs): A Nash equilibrium is a set of strategies where no player can improve their payoff by unilaterally changing their strategy. If Fried Bird chooses Suburbs and Tofu Delights chooses Suburbs, Fried Bird would not want to switch but Tofu Delights would want to switch to City (because 10 > 2). So, this is not a Nash equilibrium.

2. (City, City) and (Suburbs, Suburbs): As mentioned above, neither (City, City) nor (Suburbs, Suburbs) are Nash equilibria.

3. (City, Suburbs) and (Suburbs, City): If Fried Bird chooses City and Tofu Delights chooses Suburbs, neither player would want to change their strategy given what the other player is doing. So, this is a Nash equilibrium. Similarly, if Fried Bird chooses Suburbs and Tofu Delights chooses City, neither player would want to change their strategy given what the other player is doing. So, this is also a Nash equilibrium.

4. (City, City): If Fried Bird chooses City and Tofu Delights chooses City, Fried Bird would want to switch to Suburbs (because 15 > 5) but Tofu Delights would not want to switch. So, this is not a Nash equilibrium.

5. (Suburbs, City): As mentioned above, this is a Nash equilibrium.

So, the correct answer is: "(City, Suburbs) and (Suburbs, City)".