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Ball-and-Hill Model as a Comparison of Stable and Unstable Equilibria
The ball-and-hill model illustrates the fundamental difference between stable and unstable equilibria through the action of gravity. A stable equilibrium is represented by a ball in a valley; after a disturbance, gravity acts as a restoring force, returning the ball to its original position. An unstable equilibrium is shown by a ball on a hilltop; here, gravity amplifies any small nudge, pushing the ball further away from its starting point.
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Economics
Economy
Introduction to Macroeconomics Course
Ch.8 Economic dynamics: Financial and environmental crises - The Economy 2.0 Macroeconomics @ CORE Econ
The Economy 2.0 Macroeconomics @ CORE Econ
CORE Econ
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Ball-and-Hill Model as a Comparison of Stable and Unstable Equilibria
The Role of Feedback in Equilibrium Stability
Figure 8.13: Unstable and Stable Equilibria in the Housing Market
Observational Frequency of Stable vs. Unstable Equilibria
Consider a market where the price in the next period is a function of the price in the current period. This relationship is shown by a Price Dynamics Curve (PDC) plotted against a 45-degree line, where the price is constant. The PDC intersects the 45-degree line at two points: Point A (a lower price) and Point B (a higher price). At Point A, the PDC is steeper than the 45-degree line. At Point B, the PDC is flatter than the 45-degree line. Which of the following statements correctly analyzes these two equilibrium points?
Market Dynamics in a Speculative Asset
Analyzing Market Equilibrium Stability
Match each type of market equilibrium with its correct description, considering the relationship between the Price Dynamics Curve (PDC) and the 45-degree line.
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Imagine a housing market where a small, speculative increase in home prices encourages more buyers to enter the market, which in turn drives prices even higher. This cycle continues, pushing prices further and further from their initial level. Which physical analogy best illustrates the nature of this market's initial price level?
Match each economic scenario to the physical analogy that best describes the nature of its equilibrium.
Analyzing Market Stability with a Physical Analogy
Analyzing Market Stability with a Physical Analogy
In the physical analogy used to describe market equilibria, a ball resting at the bottom of a valley represents an unstable equilibrium because any external shock will be amplified by the force of gravity, causing the ball to move permanently to a new position.
Explaining Equilibrium with a Physical Analogy
In the physical analogy of a ball on a surface used to illustrate market equilibria, consider the role of the force of gravity after a small external nudge is applied to the ball. What is the fundamental difference in how this force operates between a stable and an unstable equilibrium?
Consider a market where a small, temporary disruption (like a brief factory shutdown) causes the price of a good to increase. However, market forces soon cause the price to return to its original level. In the physical analogy of a ball on a surface, what element represents the underlying market forces that guide the price back to its initial state?
Evaluating a Model of Economic Equilibrium
In the physical analogy used to illustrate market stability, a ball's position represents the current market price. A stable market is likened to a ball in a valley, while an unstable one is like a ball on a hilltop. What fundamental feature of the 'landscape' (the valley or hill) determines whether the equilibrium is stable or unstable?