1. A society consists of two consumers who obtain utility from consuming pods a and b. Their initial endowments are (8,5) and (1, 1), respectively. "heir utility functions are U1 = arbı and U2 = azb2. a) Find the Walrasian equilibrium. b) Now assume you are a benevolent dictator and want to maximise V = min(U1, U2). Find the optimal allocation of goods.

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1. A society consists of two consumers who obtain utility from consuming
goods a and b. Their initial endowments are (8, 5) and (1, 1), respectively.
Their utility functions are U1 = a,bı and U2 = azb2.
a) Find the Walrasian equilibrium.
b) Now assume you are a benevolent dictator and want to maximise
W = min(U1, U2). Find the optimal allocation of goods.
Transcribed Image Text:1. A society consists of two consumers who obtain utility from consuming goods a and b. Their initial endowments are (8, 5) and (1, 1), respectively. Their utility functions are U1 = a,bı and U2 = azb2. a) Find the Walrasian equilibrium. b) Now assume you are a benevolent dictator and want to maximise W = min(U1, U2). Find the optimal allocation of goods.
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