Discuss the below:
Q: Demonstrate that for an arbitrary game (with concave and smooth goal functions) the set of Pareto-optimal strategy profiles coincides with the set of points ensuring the maximum of the function åi ÎN ai fi (x ) under different values of
ai Î[0; 1]
such that åi ÎN ai = 1.
Hint: Use the definition of Pareto optimality.