The Slutsky equation Flashcards

1
Q

What does the Slutsky equation tell us?

A

Whether a good is normal, inferior or Giffen

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2
Q

From the Slutsky equation when is a good normal?

A

When dd1/dp1 = dh1/dp1 - (dd1/dm)d1 < 0

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3
Q

From the Slutsky equation when is a good inferior?

A

When dd1/dp1 = dh1/dp1 - (dd1/dm)d1 < 0

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4
Q

From the Slutsky equation when is a good a Giffen?

A

When dd1/dp1 = dh1/dp1 - (dd1/dm)d1 > 0

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5
Q

How do you calculate the total effect from a Cobb-Douglas utility function?

A
  • Solve by substitution to find the original bundle
  • Find the final bundle using the new price
  • Subtract the two to find the total effect
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6
Q

How do you find the income effect from a Cobb-Douglas utility function?

A
  • Find the indirect utility function by plugging in the Marshallian demand functions to the utility function
  • Plug the given numbers into indirect utility function for initial utility
  • Sub M’ into indirect utility function and solve for it
  • Plug M’ and p1’ into x1’’ Marshallian function for income effect
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7
Q

How do you find the substitution effect from a Cobb-Douglas utility function?

A

Subtract the original Marshallian demand from the income effect i.e x1’‘-x1

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