Intro to Mathematical Economics

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Elasticities

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Intro to Mathematical Economics

Definition

Elasticities measure the responsiveness of one variable to changes in another variable, often expressed as a percentage change. In economics, elasticities help analyze how demand or supply reacts to changes in price, income, or other factors, providing valuable insights for decision-making and policy formulation.

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5 Must Know Facts For Your Next Test

  1. Elasticities are calculated using the formula: Elasticity = % Change in Quantity / % Change in Variable.
  2. If the elasticity is greater than 1, demand or supply is considered elastic; if it is less than 1, it is inelastic.
  3. Unitary elasticity occurs when the elasticity equals 1, indicating proportional responsiveness.
  4. In computable general equilibrium models, elasticities help simulate how markets adjust to changes, ensuring accurate predictions of economic outcomes.
  5. Different goods have different elasticities; necessities typically have lower elasticities compared to luxury items.

Review Questions

  • How do elasticities influence decision-making in economic models?
    • Elasticities play a crucial role in economic models by showing how responsive variables are to changes in other factors. For instance, knowing the price elasticity of demand allows economists and policymakers to predict consumer behavior when prices fluctuate. This information helps them design effective policies that can stabilize markets or enhance welfare by understanding how consumers will react to changes in prices or incomes.
  • Discuss how different types of elasticities can affect market predictions within computable general equilibrium models.
    • Different types of elasticities, such as price elasticity of demand and income elasticity of demand, impact market predictions significantly within computable general equilibrium models. These models simulate how markets respond to external shocks or policy changes by adjusting production and consumption patterns based on estimated elasticities. For example, if a model predicts that demand for a good is highly elastic, it will show larger changes in quantity demanded relative to price changes, thus affecting overall market equilibrium outcomes and resource allocation.
  • Evaluate the implications of using constant versus variable elasticities in computable general equilibrium models and their effects on economic predictions.
    • Using constant elasticities simplifies modeling but may not accurately reflect real-world conditions where elasticities can vary with price levels and market dynamics. In contrast, incorporating variable elasticities allows for more nuanced predictions that can capture shifts in consumer behavior and market responses more realistically. This flexibility enhances the model's ability to inform policymakers about potential outcomes from economic interventions, making it vital to choose the appropriate elasticity framework based on the specific economic scenario being analyzed.

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