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Utility Possibility Set and Utility Possibility Frontier

Given a pure-exchange economy: $u_1(x_1,y_1)=\max(x_1,y_1)$, $\omega_1=(4,0)$ $u_2(x_2,y_2)=\min(2x_2+y_2,x_2+2y_2)$, $\omega_2=(0,3)$ Set of feasible allocations is given by $\mathcal{F}=\{((x_1,...
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