In the lecture we have considered the situation of constant discount rates (u;= Six) where 8₁ = 8₂ = 8 and time does not matter much, i.e. 8 → 1. Now consider a situation where time does not matter much for one player. Time is still relevant for the other player. If player 1 is very patient we write 8₁ - 1. For player 2 we still have 8₂ < 1 a fixed number. What is the subgame perfect equilibrium of this game?

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter18: Auctions
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where x1 + x2 = 1 and y1 + y2 = 1

(Topic: Bargaining game with alternating offers)

 

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In the lecture we have considered the situation of constant discount rates (u₁ = Six) where 8₁ = 8₂ = 8 and time does not matter much, i.e. 8 → 1.
Now consider a situation where time does not matter much for one player. Time is still relevant for the other player. If player 1 is very patient we write 8₁ → 1.
For player 2 we still have 8₂ < 1 a fixed number.
What is the subgame perfect equilibrium of this game?
Transcribed Image Text:In the lecture we have considered the situation of constant discount rates (u₁ = Six) where 8₁ = 8₂ = 8 and time does not matter much, i.e. 8 → 1. Now consider a situation where time does not matter much for one player. Time is still relevant for the other player. If player 1 is very patient we write 8₁ → 1. For player 2 we still have 8₂ < 1 a fixed number. What is the subgame perfect equilibrium of this game?
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