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dominant strategy (Definition)

For any player $ i$, a strategy $ s^*\in S_i$ weakly dominates another strategy $ s^\prime\in S_i$ if:

$\displaystyle \forall s_{-i}\in S_{-i}\left[u_i(s^*,s_{-i})\geq u_i(s^\prime,s_{-i})\right] $

(Remember that $ S_{-i}$ represents the product of all strategy sets other than $ i$'s)

$ s^*$ strongly dominates $ s^\prime$ if:

$\displaystyle \forall s_{-i}\in S_{-i}\left[u_i(s^*,s_{-i})> u_i(s^\prime,s_{-i})\right] $



"dominant strategy" is owned by Henry.
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Also defines:  weakly dominant strategy, dominates, weakly dominates, strongly dominates, dominant, strongly dominant
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Cross-references: product, represents, strategy, player
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This is version 2 of dominant strategy, born on 2002-07-24, modified 2002-07-24.
Object id is 3196, canonical name is DominantStrategy.
Accessed 11076 times total.

Classification:
AMS MSC91A10 (Game theory, economics, social and behavioral sciences :: Game theory :: Noncooperative games)

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