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Think of the Golden Ball game. Now player 1 is money-minded and jealous, and player 2 is very good-hearted, so the payoff matrix is follows:
Player 2
SP ST
Player 1 SP 5, 5 -2, -1
ST 10, -1 0, -1
a. Solve for all the mixed Nash equilibrium if any.
b. Among the four outcomes here, which outcome(s) are Pareto optimal (in the sense that you cannot find another outcome that makes no player worse off but some player better-off)?
What is the theory of second best? Prove the theorem with the help of diagram.
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