3: Elasticity- Understanding Responsiveness
- Page ID
- 299265
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)- 3.1: Demand Elasticities
- This page highlights the critical role of demand elasticities in economics, detailing types such as own-price, cross-price, and income elasticities. It explains their calculations, interpretations, and implications for consumer behavior and market predictions. The effects of demand elasticity on revenue are discussed, particularly for firms, emphasizing the relationship between price changes and revenue.
- 3.2: Computing Demand Elasticities
- There are occasions in this course where you will need to compute elasticities. There are two formulas used to do this. One is the point formula. The point formula will be most important for this course and is also most commonly in published studies on food demand. The other formula is called the arc or average formula. Let us spend some time on each.
- 3.3: Factors that Affect the Magnitude of Own Price Elasticities
- This page explores the factors affecting price elasticity of demand, highlighting that higher income share spent on a product increases elasticity. The availability of substitutes also enhances demand responsiveness to price changes, while demand elasticity typically increases over time as consumers adjust. Additionally, it explains that farm demand is generally less elastic than retail demand due to fixed supply chain costs and proportions.
- 3.4: Elasticities of Supply
- This page covers supply elasticities, paralleling demand elasticity concepts. It introduces the symbol \(\phi\) for various types of elasticities: own-price, cross-price, and input price. Key features include the non-negative own-price elasticity indicating increased revenue with price rises. It provides formulas for calculating elasticities and discusses special cases of perfectly elastic and inelastic supply, with examples from agriculture and the art market to illustrate these concepts.
- 3.5: Concluding Comments
- This page highlights the importance of elasticities in market dynamics, emphasizing their role in informed business decision-making regarding pricing and advertising. It underscores the need for accurate elasticity estimates to maximize profits and introduces upcoming applications in market equilibrium models, particularly in response to demand or supply shocks.
- 3.6: Problem Sets
- This page features a variety of exercises focused on calculating demand elasticities using different formulas and scenarios. Key topics include determining types of elasticity (own-price, income, advertising), assessing relationships between goods (substitutes vs. complements), and understanding the impacts of advertising on profit. It emphasizes the distinction between short-run and long-run elasticity, noting that demand is generally more elastic in the long run.


