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Competitive equilibrium in a two-person economy with substitutes and complements

Given the economy with two consumers: $u_1=\min(2m_1,h_1)$ and $u_2=m_2+h_2$ with endowment allocation $E=((60,40),(40,60))$, we observe the case where the price ratio is $\frac{p_M}{p_H}\in (0,1)$. ...
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Competitive equilibrium in a two-person economy with substitutes and complements

I will denote the price ratio $p_M/p_H$ by $p$. The $m$ demand of $A$ is: $$ m_A = \frac{60p + 40}{p + 2} $$ The $m$ demand of $B$ is: \begin{align*} m_B = \left\{ \begin{array}{ll} 0 & \text{ if }...
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