Arrow-Debreu Economy Quiz

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Questions and Answers

What is the utility function for both agents?

  • $u(c) = rac{1}{c}$
  • $u(c) = ln(c)$ (correct)
  • $u(c) = c^2$
  • $u(c) = e^c$

What is the optimal consumption for agent a in state i, given the set of state prices $q_1, ..., q_N$?

  • $c_{a,i}^* = rac{ ext{Σ} q_i (z_i - 1 + h_i)}{ ext{Ï€}_i q_i}$
  • $c_{a,i}^* = rac{q_i}{ ext{Σ} ext{Ï€}_i (z_i - 1 + h_i)}$
  • $c_{a,i}^* = rac{ ext{Σ} ext{Ï€}_i q_i (z_i - 1 + h_i)}{q_i}$
  • $c_{a,i}^* = rac{ ext{Ï€}_i q_i}{ ext{Σ} q_i (z_i - 1 + h_i)}$ (correct)

What is the income of agent b in state i?

  • $y(b)_i = z_i + 1 - h_i$
  • $y(b)_i = z_i - 1 - h_i$ (correct)
  • $y(b)_i = z_i - h_i$
  • $y(b)_i = z_i - 1 + h_i$

What is the market-clearing condition to solve for the price $q_i$ as a function of $z_i$ and $ ext{Ï€}_i$?

<p>$q_i = ext{Ï€}_i z_i k$ (D)</p> Signup and view all the answers

What is the optimal consumption for agent b in state i, given the set of state prices $q_1, ..., q_N$?

<p>$c_{b,i}^* = rac{ ext{π}_i q_i}{ ext{Σ} q_i (z_i - 1 - h_i)}$ (B)</p> Signup and view all the answers

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