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Unformatted text preview: January 18, 2011  Lecture 4 Dominance Solubility
weakly dominated strategy: when the " " " payoffs of a strategy are equal to or lower " " " " " " than those of the other strategies " " " " " " strongly dominated strategy: when the " " strategy are equal to or" " " payoffs of a " " " " " greater than those of the other strategies " " " "
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Left Right Player 2
North South "
" " " " (a, b) (e, f) (c, d) (g, h) Player 1 "
" 1) Player 1ʼs Left is better than right; a ≥ e and c ≥ g, with at least one equality being strict 2) Player 2, South weakly dominates North d ≥ b and h ≥ f, with at least one being strict (≥) 3) if strongly dominates; d > b and h > f " " " " " " " X Player 2 A B C (1, ) (0, ) (2, ) (2, ) (0, ) (1, ) (2, ) (3, ) (1, ) "
" Player 1 " Y " " Z ** for Player 1, Y strictly dominates X ** Iterated Elimination of Weakly Dominated Strategies" "
" " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " "
" Up Player 2
Left" Right ** for P1, Up and Middle weakly dominate down " " " " " " " ** for P2, " " Left and Right donʼt dominate each " " " " " " "by crossing out Down, Left "weakly " " " " other, but dominates Right
" " " " " The" number in blue "show the order of the elimination " " " " " " " (1, 1) (0, 2)
"(0, " " (0, 1) (1, 0)
" (0, 0) 2. 1. Player 1 Middle
" " " " " 3. Down" " " 1) "
" " " " ...
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 Spring '09

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