Draw the game in strategic form

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Reference no: EM131777580

Question: 1. Two players play a game to split $4. Each player will simultaneously write down an amount (in whole dollars) between $0 and $4. If the sum of the two amounts is more than $4, each player gets $0. If the sum of the two amounts is less than or equal to $4, each player gets the amount that he or she wrote.

(a) Draw the game in strategic form.

(b) Does either player have a dominant strategy If so, what is it?

Now change the game so that if the sum of the amounts is less than or equal to $4, each player gets the amount that the other player wrote.

(d) Does either player have a dominant strategy in this new game? If so, what is it?

(e) Find all of the Nash equilibria for this new game, again considering only pure stratgies.

Reference no: EM131777580

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