game theory

2. Suppose that the various Balls of basketball or internet fame Lavar, Lamelo, Liangelo, Lonzo, and Spalding are considering playing in a 1-on-1 tournament. They get a payoff of 0 if they decide not to participate. The following table illustrates their payoffs across the various scenarios. 1 Player 2 Players 3 Players 4 Players 5 Players Lavar 10 -2 -5 Lamelo 10 7 5 2 -1 Liangelo 10 7 2 -1 Lonzo 10 8 7 6 5 Spalding 10 9 8 7 6 a. Find and describe all pure strategy Nash Equilibria. 4 marks. b. Suppose now Spalding, since it is in fact a literal basketball, gets a payoff of 0 in any circumstance, being an inanimate object. The table is now as follows: 1 Player 2 Players 3 Players 4 Players 5 Players Lavar 10 4 2 -2 -5 Lamelo 10 7 5 2 -1 Liangelo 10 7 5 2 -1 Lonzo 10 8 6 5 Spalding 0 Find and describe all pure strategy Nash Equilibria. 2 marks