Find all pareto-optimal action profiles


Solve the below:

Q: Find all Pareto-optimal action profiles provided that n = 2.

Hint: The set of Pareto-optimal action profiles coincides with the set of points ensuring maxi- mum to the function

a f1 ( x1, x2 ) + (1 - a) f2 ( x1, x2 ),

where α ∈ [0; 1].

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