In the game shown below, Players 1 and 2 are competing over how to divide up $100. Each player must move at the same time without knowledge of the other player’s move. The table shows the payoff for Player1 (Player 2’s payoff is $100  Player 1’s Payoff). Find the Nash equilibrium(s) for this game. That is, what strategy should Player 1 and Player 2 use for this game? If the Players use their optimal strategy, what will be the payoff for each player in this game?    Player 2 Player 1 Left Middle Right Up 40 30 50 Middle 20 50 40 Down 30 20 30

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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In the game shown below, Players 1 and 2 are competing over how to divide up $100. Each player must move at the same time without knowledge of the other player’s move. The table shows the payoff for Player1 (Player 2’s payoff is $100  Player 1’s Payoff).

Find the Nash equilibrium(s) for this game. That is, what strategy should Player 1 and Player 2 use for this game? If the Players use their optimal strategy, what will be the payoff for each player in this game? 

 

Player 2

Player 1

Left

Middle

Right

Up

40

30

50

Middle

20

50

40

Down

30

20

30

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