pr4de.domin - Dominance Solvable Games D. Dominance by a...

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Unformatted text preview: Dominance Solvable Games D. Dominance by a Combination of Strategies 2 E C O N 4 6 1 S p r i n g 2 1 , H . O f e k Dominance Dominance by a combination of Strategies Player II t 1 t 2 t 3 s 1 4,12 3,0 0,5 s 2 0,0 2,10 10,4 Player I Note also that t 3 would never serve as best reply to either s 1 or s 2 . It follows that t 3 can be eliminated without loss leading to step 1: (next) No single strategy dominates another in this game. Note, however, that t 3 is dominated by a (linear) combination of t 1 and t 2 (e.g., t 1 + t 2 ). 3 E C O N 4 6 1 S p r i n g 2 1 , H . O f e k Dominance Dominance by a combination of Strategies Player II t 1 t 2 t 3 s 1 4,12 3,0 0,5 s 2 0,0 2,10 10,4 Player I Step 1 4 E C O N 4 6 1 S p r i n g 2 1 , H . O f e k Dominance Dominance by a combination of Strategies Player II t 1 t 2 t 3 s 1 4,12 3,0 0,5 s 2 0,0 2,10 10,4 Player I Final outcome Nash Equilibrium Dominance Solvable Games E. Weak Dominance 6 E C O N 4 6 1 S p r i n g 2 1 , H . O f e k Dominance...
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pr4de.domin - Dominance Solvable Games D. Dominance by a...

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