Consider the following Bargaining game, where each player tries to maximize his own number of coins. Player A starts the game with 3 coins and Player B starts with 1 coin.  Player A needs to decide how many coins to give to Player B. Player A moves first, and makes an offer to Player B. Player B observes the offer, and then chooses to accept or reject the offer. If player B rejects the offer, the game is over: Player A loses all his 3 coins and player B losses his 1 coin (both players end up with zero coins). If Player B accepts the offer, the game is over: Player B keeps his original 1 coin plus the coin(s) offered by Player A, while Player A keeps the coin(s) he did not offer to player B. In the subgame perfect equilibrium of this game: Select the right option from below     Player A offers zero coins to Player B     Player A offers one coin to Player B     Player A offers two coins to Player B     Player A offers three coins to Player B     Player A plays a mixed strategy

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Consider the following Bargaining game, where each player tries to maximize his own number of coins.

Player A starts the game with 3 coins and Player B starts with 1 coin.  Player A needs to decide how many coins to give to Player B. Player A moves first, and makes an offer to Player B. Player B observes the offer, and then chooses to accept or reject the offer.

If player B rejects the offer, the game is over: Player A loses all his 3 coins and player B losses his 1 coin (both players end up with zero coins).

If Player B accepts the offer, the game is over: Player B keeps his original 1 coin plus the coin(s) offered by Player A, while Player A keeps the coin(s) he did not offer to player B.

In the subgame perfect equilibrium of this game: Select the right option from below

   

Player A offers zero coins to Player B

   

Player A offers one coin to Player B

   

Player A offers two coins to Player B

   

Player A offers three coins to Player B

   

Player A plays a mixed strategy

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