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Consider an instance of the stable marriage problem with the priority lists: Albert: Diane, Emily, Fergie Bradley: Emily, Diane, Fergie Charles: Diane, Emily, Fergie Diane:

Consider an instance of the stable marriage problem with the priority lists:

Albert: Diane, Emily, Fergie

Bradley: Emily, Diane, Fergie

Charles: Diane, Emily, Fergie

Diane: Albert, Bradley, Charles

Emily: Albert, Bradley, Charles

Fergie: Albert, Bradley, Charles

(a) Is {Albert-Diane, Bradley-Emily, Charles-Fergie} a stable matching? If yes, then provide an argument and show which pairs you tested for, for thorough verification. If no, provide a pair that causes instability.

(b) Determine man-optimal and woman-optimal solutions.

Man-optimal:

Woman-optimal:

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