as t goes to infinity and,

 $eq1251.jpg$ (4.20)

is the asymptotic pseudo-trajectory of $eq1252.jpg$.

•  Assume that Player 1 is a slow learner of (M-IBG) and Player 2 is a fast learner of (IBG). Then almost surely,

$eq1253.jpg$

as t goes to infinity and,

 $eq1254.jpg$ (4.21)
 $eq1255.jpg$ (4.22)

is the asymptotic pseudo-trajectory of $eq1256.jpg$.

4.4.3    Aggregative Robust Games in Wireless Networks

The focus of our analysis in this subsection is on aggregative games. In an aggregative game, the payoff of each player is a function of the player’s own action and of the sum of the actions (or, the weighted sum action) ...

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