Consider a game between player A with a choice between moves d₁, d2 and d3, and player B with a choice between 61, 62 and 83, and the following pay-off matrix: 81 82 83 d₁ (3,2) (2,0) (1,-1) d2 (1,0) (3,1) (2,-2) d3 (0,0) (2,3) (1,2) Is that game solvable? (We consider strong Pareto optimality for that question.) O a. The game is solvable in the strict sense, with solutions (d₁, 8₁ (d2, 82) O b. The game is solvable in the strict sense, with solution (d₁, 61) О с. The game is solvable in the completely weak sense, with solutions (d₁, 81), (d2, 82) The game is solvable in the strict sense, with solutions (d1, 81), (d3, 82), (d2, 82) O d. O e. The game is solvable in the completely weak sense, with solutions (d₁, 1), (d3, 82), (d2, 82), (d3, 83 Of. The game is not solvable Og. The game is solvable in the completely weak sense, with solutions (d₁, 81), (d3, 62), (d2, 82) Oh. The game is solvable in the strict sense, with solutions (d1, 81), (d3, 82)
Consider a game between player A with a choice between moves d₁, d2 and d3, and player B with a choice between 61, 62 and 83, and the following pay-off matrix: 81 82 83 d₁ (3,2) (2,0) (1,-1) d2 (1,0) (3,1) (2,-2) d3 (0,0) (2,3) (1,2) Is that game solvable? (We consider strong Pareto optimality for that question.) O a. The game is solvable in the strict sense, with solutions (d₁, 8₁ (d2, 82) O b. The game is solvable in the strict sense, with solution (d₁, 61) О с. The game is solvable in the completely weak sense, with solutions (d₁, 81), (d2, 82) The game is solvable in the strict sense, with solutions (d1, 81), (d3, 82), (d2, 82) O d. O e. The game is solvable in the completely weak sense, with solutions (d₁, 1), (d3, 82), (d2, 82), (d3, 83 Of. The game is not solvable Og. The game is solvable in the completely weak sense, with solutions (d₁, 81), (d3, 62), (d2, 82) Oh. The game is solvable in the strict sense, with solutions (d1, 81), (d3, 82)
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:Consider a game between player A with a choice between moves d₁, d2 and d3, and player B with a choice
between 81, 82 and 83, and the following pay-off matrix:
81 82 83
d₁ (3,2) (2,0) (1,-1)
d2 (1,0) (3,1) (2,-2)
d3 (0,0) (2,3) (1,2)
Is that game solvable? (We consider strong Pareto optimality for that question.)
Oa. The game is solvable in the strict sense, with solutions (d₁, 1, (d2, 62)
O b. The game is solvable in the strict sense, with solution (d₁, 81)
О с.
The game is solvable in the completely weak sense, with solutions (d₁, 1), (d2, 82)
The game is solvable in the strict sense, with solutions (d1, 61), (d3, 82), (d2, 82)
Od.
O e.
The game is solvable in the completely weak sense, with solutions (d₁, 81), (d3, 82), (d2, 62), (d3, 83)
O f.
The game is not solvable
Og. The game is solvable in the completely weak sense, with solutions (d₁, 61), (d3, 62), (d2, 82)
Oh. The game is solvable in the strict sense, with solutions (d1, 81), (d3, 82)
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