DSE 2006 Question 21: General equilibrium and exchange economies

Consider a competitive exchange economy with two agents ($1$ and $2$) and two goods ($X$ and $Y$). Agent $1$'s endowment of $(X,Y)$ is $(0,5)$ and Agent $2$'s endowment of $(X,Y)$ is $(10,0)$. An allocation for Agent $i$ is denoted $(x_i,y_i)$, and Agent $i$'s objective is to maximize utility $\min\{x_i,y_i\}$. The allocation with $(x_1,y_1)=(3,3)$ and $(x_2,y_2)=(7,2)$ is