Microeconomics II Exam - Part 1
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Questions and Answers

If A~B, then the individual is indifferent regarding the two consumption bundles A and B.

True (A)

If A~B, then it must also be that U(A) = U(B).

True (A)

The indifference curves of the individual are strictly convex.

True (A)

The preferences of the individual can also be represented by the utility function U(X,Y) = 2XY.

<p>True (A)</p> Signup and view all the answers

Good X and good Y are perfect complements.

<p>False (B)</p> Signup and view all the answers

The income expansion path is a straight line.

<p>False (B)</p> Signup and view all the answers

In the utility maximum the individual obtains the utility U* = 5.

<p>False (B)</p> Signup and view all the answers

If the price of good X doubles, then the total effect of the price change is equal to the income effect of the price change.

<p>True (A)</p> Signup and view all the answers

The production function has increasing returns to scale.

<p>True (A)</p> Signup and view all the answers

The conditional factor demand for labor is L(Q) = Q.

<p>True (A)</p> Signup and view all the answers

The marginal costs of the firm are increasing in Q.

<p>False (B)</p> Signup and view all the answers

Suppose the firm has to produce Q = 81. Then the total costs of the firm are TC = 6.

<p>False (B)</p> Signup and view all the answers

At a price P* the profit maximizing firm should leave the market immediately.

<p>True (A)</p> Signup and view all the answers

The producer surplus of the firm corresponds to the area ABE.

<p>False (B)</p> Signup and view all the answers

The average fixed costs of producing Q* correspond to the area ABCD.

<p>True (A)</p> Signup and view all the answers

The long-run supply curve of the firm is equal to the marginal cost curve from point F onward.

<p>False (B)</p> Signup and view all the answers

The fixed costs of the two firms are equal to zero.

<p>True (A)</p> Signup and view all the answers

If the two firms form a collusive monopoly, then the industry profit is π1 + π2 = 202.50.

<p>True (A)</p> Signup and view all the answers

If the two firms compete in quantity, then the market price in the Cournot-Nash equilibrium is P = 35.

<p>True (A)</p> Signup and view all the answers

If the two firms compete in prices, then the produced industry quantity in the Bertrand-Nash equilibrium is Q = q1 + q2 = 18.

<p>True (A)</p> Signup and view all the answers

The individual is risk-loving.

<p>True (A)</p> Signup and view all the answers

The expected utility of the lottery is 90p.

<p>True (A)</p> Signup and view all the answers

If p = 1/2, then the utility of the expected payoff is 54.

<p>True (A)</p> Signup and view all the answers

If p = 1/2, then the certainty equivalent of the lottery is 4√5.

<p>True (A)</p> Signup and view all the answers

If v < p + z(κ; λ), then the consumer always refrains from consuming the product.

<p>True (A)</p> Signup and view all the answers

For z(κ; λ) = κλ, the conditional indirect utility u(κ,p; λ) with consumption decreases with an increase in the intensity of climate concerns λ, all other things being equal.

<p>True (A)</p> Signup and view all the answers

The greater the 'loss' E from the climate externality caused by other consumers, the more consumers refrain from consuming the product.

<p>True (A)</p> Signup and view all the answers

Stronger climate concerns λ always lead to a higher profit maximizing price p of the product if the supplier's marginal cost с(κ) decrease with an increasing product carbon footprint κ.

<p>True (A)</p> Signup and view all the answers

Determine the number of subgames in the sequential game.

<p>3 (C)</p> Signup and view all the answers

How many pure-strategy combinations survive the iterated elimination of strictly dominated strategies (IESDS) for x = 5?

<p>1 (A)</p> Signup and view all the answers

For which values of x does the game have exactly one Nash equilibrium in pure strategies?

<p>0 &lt; x &lt; 4 (C)</p> Signup and view all the answers

For x = 0, determine the probability p with which player 1 plays the pure strategy L in the unique Nash equilibrium in mixed strategies.

<p>None of the above. (E)</p> Signup and view all the answers

Calculate the offer curve of individual A.

<p>OCA(p) = (2p₁ / 3p₂ , 3p₁ / 2p₂) (A)</p> Signup and view all the answers

Flashcards

Indifference

A preference relation where the consumer is indifferent between two bundles, meaning they provide the same level of satisfaction.

Increasing Returns to Scale (Production Function)

A utility function exhibits increasing returns to scale if doubling all inputs more than doubles the output.

Conditional Factor Demand for Labor

The amount of labor a firm uses to produce a specific quantity of output, given the prices of labor and capital.

Marginal Costs (Firm)

The additional cost incurred by producing one more unit of output.

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Exit the Market (Firm)

A situation where a firm has to leave the market due to unfavorable conditions.

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Producer Surplus (Firm)

The difference between the total revenue a firm receives and the total variable costs it incurs, representing the profit generated from the firm's production.

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Average Fixed Costs (Firm)

The cost of producing one unit of output, calculated as the total fixed costs divided by the total output.

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Long-Run Supply Curve (Firm)

The curve indicating the minimum cost at which a firm can produce a given level of output in the long run, when all factors of production are variable.

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Fixed Costs (Firm)

Costs that do not vary with the level of production.

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Market Price (Firm)

The price at which a company can sell all of its products, determined by the interaction of supply and demand in the market.

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Profit Maximization (Firm)

A situation where a firm maximizes its profit by producing the quantity at which marginal revenue equals marginal cost.

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Quantity (Firm)

A specific quantity of goods or services produced by a firm in a given period.

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Marginal Revenue (Firm)

The change in revenue generated by selling one more unit of a product.

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Marginal Costs (Firm)

The additional cost incurred by producing one more unit of output.

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Total Costs (Firm)

The total cost of producing a certain level of output, which includes both fixed and variable costs.

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Collusive Monopoly

A situation where several firms collaborate to control pricing and output in a market, aiming to maximize joint profits.

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Cournot-Nash Equilibrium

A situation where firms independently choose their production levels to maximize their own profits, given the output decisions of other firms.

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Bertrand-Nash Equilibrium

A situation where firms simultaneously choose their prices to maximize their own profits, given the prices set by other firms.

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Expected Utility

The utility an individual derives from a certain outcome, considering the likelihood of other outcomes.

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Risk-Loving

A situation where an individual prefers uncertainty to a certain payoff, indicating a preference for risk-taking.

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Certainty Equivalent

The guaranteed payoff that would provide an individual with the same level of utility as a risky lottery.

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Risk Premium

The difference between the expected value of a lottery and its certainty equivalent, reflecting the value individuals attach to avoiding risk.

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Quantity Demanded (Individual)

The amount of a good that an individual is willing to buy at a given price, represented by the quantity demanded.

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Individual Demand Curve

The curve that depicts the relationship between the price of a good and the quantity demanded by an individual, showing the quantities they would buy at different prices.

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Market Demand

The total quantity of a good demanded by all individuals in the market at a given price.

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Market Demand Curve

The relationship between the price of a good and the quantity demanded by all consumers in the market.

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Market Equilibrium

The process of determining the optimal allocation of resources in a market, where buyers and sellers interact to establish equilibrium prices and quantities.

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Walrasian Equilibrium

A situation where the total quantity supplied in the market equals the total quantity demanded, resulting in a stable price and quantity.

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Price Ratio

The ratio of the price of one good to the price of another good.

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Free Trade

A trade agreement that allows individuals from different countries to freely exchange goods and services, potentially leading to improved welfare for all participating parties.

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Pareto Improvement

A situation where the combined welfare of individuals in a society cannot be improved without making at least one individual worse off.

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Rational Choice Theory

The theory that individuals are rational and act in their own self-interest, seeking to maximize their own utility.

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Study Notes

Microeconomics II Exam - Part 1

  • Problem 1: Consumer Behavior (6 points)
    • (a): If consumption bundle A is preferred to bundle B (A ≻ B), then the individual is indifferent regarding the two bundles.
    • (b): If bundle A is indifferent to bundle B (A ~ B), then the utility derived from bundle A is equal to the utility derived from bundle B (U(A) = U(B)).
    • (c): Indifference curves are strictly convex for utility functions of the form U(X,Y) = XY.
    • (d): The utility function U(X,Y) = 2XY represents the same preferences as U(X,Y) = XY.

Problem 2: Individual and Market Demand (6 points)

  • (a): Good X and good Y are perfect complements when the utility function contains a mathematical maximum expression (e.g., U(X,Y) = max{2X, Y}).
  • (b): The income expansion path is a straight line for goods that are perfect complements.
  • (c): The maximum utility achievable, U*, is 5 when the given constrained utility function and prices are used.
  • (d): When the price of good X doubles, the total effect of the price change equals the income effect.

Problem 3: Production and Cost (8 points)

  • (a): The production function Q(K,L) = 16K2L2 exhibits increasing returns to scale.
  • (b): The conditional labor factor demand function is L(Q) = Q.
  • (c): The marginal cost of production increases with output Q.
  • (d): The total cost for a production level Q = 81, given the provided parameters, is TC = 6.

Problem 4: Perfect Competition and Monopoly (8 points)

  • (a): At a market price equal to the average total cost (P* = ATC), the profit-maximizing firm will exit the market immediately.
  • (b): The producer surplus corresponds to the area ABE in the presented graph.
  • (c): The average fixed costs (AFC) at a particular output level Q* correspond to the area ABCD in the graph.
  • (d): The long-run supply curve of a firm in a perfectly competitive market is equal to the marginal cost curve above the minimum average variable cost curve (AVC).

Problem 5: Imperfect Competition (8 points)

  • (a): The given cost structures imply that fixed costs are zero for the two firms in the market.
  • (b): The total profit of the two firms combined in a collusive monopoly scenario is 202.50.
  • (c): The market price in the Cournot-Nash equilibrium, given the specific values and conditions, results in a P = 35.
  • (d) The statements relating to different pricing and production strategies under various competition models are not included

Problem 6: Investment, Time, and Insurance (8 points)

  • (a): The given utility function (U(x) = x^2 - 10) represents risk-loving behavior.
  • (b): The expected utility of the lottery, with p equals 1 / 2 can be expressed as 90 * p .
  • (c): The utility of the expected payoff (when p= 0.5) is 54.
  • (d): The certainty equivalent of the lottery, when p = 0.5, is 4√5.

Problem 7: Monopoly and Climate Protection (6 points)

  • (a): If the utility (v) is less than the price plus the “loss” from consumption (p + z(к; λ)), the consumer will avoid purchasing the product.

  • (b): Conditional indirect utility (with function z(κ; λ) = κλ), decreases with higher values of the intensity of climate concerns (λ), all other things remaining the same.

  • (c): Greater climate concern leads to greater reduction in consumption due to the “loss” (E) that arises when others are also contributing to climate externalities.

  • (d): If the marginal cost (с(к)) decreases with higher values of product carbon footprint (к), then stronger climate concern leads to higher profit maximizing prices.

Problem 1: Game Theory (20 points)

  • (a): The number of subgames in the provided sequential game is 3.
  • (b): For x=5, the number of pure strategy combinations that survive the iterative elimination of strictly dominated strategies is 4.
  • (c): The game has exactly one Nash equilibrium in pure strategies when x is between 1 and 3.

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Description

Test your understanding of consumer behavior and demand in microeconomics with this exam. It covers concepts like utility functions, indifference curves, and the characteristics of perfect complements. Prepare to demonstrate your grasp of these fundamental principles in microeconomic theory.

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