Autarky Equilibrium Quiz

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Questions and Answers

What does the condition $LC + LG = L$ signify in an economy operating under autarky?

  • Sector G must produce more than Sector C.
  • Labor can be ignored for production in equilibrium.
  • All available resources must be concentrated in one sector.
  • The total labor must be allocated between two sectors. (correct)

In the context of factor allocation in equilibrium, what does the symbol $Ï•C$ represent?

  • The ratio of goods produced in both sectors.
  • The share of total available labor employed in sector C. (correct)
  • Total production in sector C.
  • Capital utilized in sector G.

What is the significance of the equations derived in the context of equilibrium relations?

  • They express relationships among inputs to maintain equilibrium. (correct)
  • They determine the optimum price for goods produced.
  • They show how labor affects capital allocation.
  • They illustrate the importance of monopolistic production.

What does the equation $I = r · K + w · L$ represent?

<p>The total income generated from labor and capital. (B)</p> Signup and view all the answers

What does the term equilibrium level imply in the context of production?

<p>It indicates the simultaneous maximization of inputs in both sectors. (C)</p> Signup and view all the answers

How is the equilibrium condition related to the allocation of the two inputs in the sectors?

<p>It necessitates all factors to be fully employed across both sectors. (B)</p> Signup and view all the answers

Which of the following statements is true about consumption under autarky?

<p>There is a combination of goods produced for domestic use only. (C)</p> Signup and view all the answers

What does the parameter $δC$ represent in the allocation equations?

<p>The rate of return on investments in sector C. (A)</p> Signup and view all the answers

What does the term 'autarky' refer to in economic terms?

<p>A closed economy with no trade (B)</p> Signup and view all the answers

How does the Production Possibility Frontier (PPF) relate to the income line in a closed economy?

<p>The PPF coincides with the income line (D)</p> Signup and view all the answers

What does the equation $C = \frac{1}{aC} \cdot \phiC \cdot L$ represent?

<p>The total consumption in relation to the total labor employed in sector C (B)</p> Signup and view all the answers

What does the term 'optimal production values' refer to?

<p>Values representing the production that meets consumer preferences (C)</p> Signup and view all the answers

What is the significance of $ heta_C = \delta_C$ in equilibrium?

<p>It shows the share of workers matches the share of income consumed on good C (C)</p> Signup and view all the answers

What is a defining feature of the equilibrium condition in the neoclassical version of the Ricardian theory?

<p>The slopes of PPF and the income line are equal (C)</p> Signup and view all the answers

Which of the following accurately describes the term 'factor allocation' in relation to production?

<p>The distribution of labor that leads to maximum output (B)</p> Signup and view all the answers

In the context of autarky, what is the relationship between production and consumption?

<p>Production equals consumption, as there is no trade (C)</p> Signup and view all the answers

What does the Lagrange multiplier λ represent in the context of this problem?

<p>The shadow price of the constraint. (A)</p> Signup and view all the answers

Which equation represents the income constraint in the model?

<p>I = PC · CC* + (1 - δC)/δC · PG · CG* (B)</p> Signup and view all the answers

What do CC* and CG* represent in the context of this model?

<p>Optimal consumption values of goods C and G. (A)</p> Signup and view all the answers

Which scenario is NOT addressed when calculating the equilibrium in the Ricardian model?

<p>Closed economy equilibrium. (B)</p> Signup and view all the answers

How is the optimal value CC* derived from the income constraint?

<p>Through substitution using the equality of total output and total consumption. (A)</p> Signup and view all the answers

In the first-order condition ∂L/∂CG = 0, what does it imply about the utility maximization?

<p>Marginal utility per dollar spent is equal for both goods. (C)</p> Signup and view all the answers

If δC represents the share of income allocated to good C, what is the relationship between CC* and total income I?

<p>CC* is directly proportional to δC and I. (C)</p> Signup and view all the answers

Which factor is implied in the calculation of CG* according to the model?

<p>The share of income not allocated to good C. (C)</p> Signup and view all the answers

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Study Notes

Autarky Equilibrium

  • In autarky, both goods are produced and factors are allocated across sectors.
  • All factors must be used with the following conditions holding:
    • The sum of labor in both sectors equals the total available labor.
    • The sum of capital in both sectors equals the total available capital.
  • The equilibrium level of production of good C is determined by the share of labor allocated to sector C, the productivity of sector C, and the price of good C.
  • The equilibrium level of production of good G is determined by the share of labor allocated to sector G, the productivity of sector G, and the price of good C.
  • In autarky, the production possibility frontier (PPF) coincides with the income line.
  • The terms of trade are equal to the ratio of production technical coefficients.
  • The equilibrium level of consumption of good C is a ratio of the share of income on good C and the total income, divided by the production technical coefficient.
  • The equilibrium level of consumption of good G is a ratio of the share of income on good G and the total income, divided by the production technical coefficient.
  • In equilibrium, the share of income consumed on good C corresponds to the share of workers employed in sector C.
  • The equilibrium is represented graphically by the point where the marginal rate of transformation (MRT) equals the ratio of the prices of the two goods.

Open Economy Equilibrium

  • The open economy equilibrium is a state where the production and consumption levels of each good are determined by both domestic and foreign demand and supply.
  • In a two-country model, the open economy equilibrium is characterized by the equalization of both relative prices and relative wages across countries.
  • The equilibrium is reached through trade, where each country specializes in the production of the good where it has a comparative advantage and trades it for the other good.
  • The equilibrium is influenced by factors such as the relative prices of goods, relative wages, and the size of the countries in terms of labor and capital.
  • The equilibrium is reached through a process of adjustment where countries move from autarky to open economy equilibrium.
  • The equilibrium is graphically represented by the point where the PPFs of both countries intersect at the terms of trade, which is the relative price of both countries' goods.

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