	Analysis and Design of Cognitive Radio Networks Using Game Theory
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Supermodular Games

Some ognitive radio can model with supermodular game.

A game is called a smooth supermodular game:

NE Existence: have at least one NE.

NE Identification: all NE for a game form a lattice. While this does not particularly aid in the process of initially

	identifying NE, from every pair of identified

Convergence: have weak FIP, so a sequence of best responses will converge to a NE.

Stability: if the radios make a limited number of errors or if the radios are instead playing a best response to a

	weighted average of observations from the recent past, play will converge.

Supermodular best response convergence

example: Bilateral Symmetric Interaction (BSI) nterference Avoidance Game

Utility funcion satisfy in supermodular game then we can useit for solve this system.