dominant strategy

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

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

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

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

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

Title	dominant strategy
Canonical name	DominantStrategy
Date of creation	2013-03-22 12:51:39
Last modified on	2013-03-22 12:51:39
Owner	Henry (455)
Last modified by	Henry (455)
Numerical id	5
Author	Henry (455)
Entry type	Definition
Classification	msc 91A10
Defines	weakly dominant strategy
Defines	dominates
Defines	weakly dominates
Defines	strongly dominates
Defines	dominant
Defines	strongly dominant