2. Diana and Jennie are stranded on a desert island. Each has in his possession some slices of ham (H) and bread (B). Diana a choosy eater and will eat ham and bread only in the fixed proportions of 2 slices of bread to 1 slice of ham. Her utility function is given by Up = min(H, B/2). Jennie is more flexible in his dietary tastes and has a utility function given by U, = 4H + 3B. Total endowments are 100 slices of ham and 200 slices of bread. %3D a. Draw the Edgeworth box diagram that represents the possibilities for exchange in this situation. What is the only exchange ratio that can prevail in any equilibrium?

Microeconomic Theory
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ISBN:9781337517942
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Chapter4: Utility Maximization And Choice
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2. Diana and Jennie are stranded on a desert island. Each has in his possession some slices
of ham (H) and bread (B). Diana is a choosy eater and will eat ham and bread only in the
fixed proportions of 2 slices of bread to 1 slice of ham. Her utility function is given by
Up = min(H, B/2). Jennie is more flexible in his dietary tastes and has a utility function
given by U, = 4H + 3B. Total endowments are 100 slices of ham and 200 slices of bread.
a. Draw the Edgeworth box diagram that represents the possibilities for exchange in
this situation. What is the only exchange ratio that can prevail in any equilibrium?
b. Suppose Diana initially had 40H and 80B. What would the equilibrium position
be?
c. Suppose Diana (much the stronger of the two) decides not to play by the rules of
the game. Then what could the final equilibrium position be?
Transcribed Image Text:2. Diana and Jennie are stranded on a desert island. Each has in his possession some slices of ham (H) and bread (B). Diana is a choosy eater and will eat ham and bread only in the fixed proportions of 2 slices of bread to 1 slice of ham. Her utility function is given by Up = min(H, B/2). Jennie is more flexible in his dietary tastes and has a utility function given by U, = 4H + 3B. Total endowments are 100 slices of ham and 200 slices of bread. a. Draw the Edgeworth box diagram that represents the possibilities for exchange in this situation. What is the only exchange ratio that can prevail in any equilibrium? b. Suppose Diana initially had 40H and 80B. What would the equilibrium position be? c. Suppose Diana (much the stronger of the two) decides not to play by the rules of the game. Then what could the final equilibrium position be?
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