dominant strategy

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

\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:

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

Defines:

weakly dominant strategy, dominates, weakly dominates, strongly dominates, dominant, strongly dominant

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