In: Economics
Derive the unique subgame perfect Nash equilibrium payoffs for two players who have different discount factors (take the discount factor of player 1 as 0.6 and the discount factor of player 2 as 0.8) in a five‐period alternating offers bargaining game. Assume that player 1 is the first mover.
(i) What happens to these payoffs if you keep players' discount factors constant but make player 2, the first mover? Explain.
(ii) What happens to these payoffs if you keep discount factors and the first-mover the same, but increase the number of periods from 5 to 7? Explain