Introduction to Complementarities and Multiple Equilibria

Stephen C Smith
14 Jan 202116:41

Summary

TLDRThis episode delves into contemporary economic development theories, focusing on underdevelopment as a coordination failure. The discussion explores how firms or households, failing to coordinate actions like investment, can lead to worse outcomes for all. Using concepts like complementarity, the episode examines how agents' actions reinforce others' incentives and how multiple equilibria can emerge. The analysis introduces graphical representations, such as reaction functions and 45-degree lines, to explain equilibrium dynamics, including stable and unstable equilibria. The concept of the 'big push' is also introduced, which addresses how economies might need substantial investment to move toward better equilibrium outcomes.

Takeaways

  • 📈 The episode continues the analysis of growth and development theories, focusing on contemporary ideas, particularly coordination failures in economic development.
  • 🔄 Coordination failures occur when firms or households can't coordinate their actions, leading to worse outcomes for all agents involved.
  • ⚖️ Coordination failures result in two possible outcomes or equilibria: one preferred and one less optimal, which agents might struggle to reach due to the lack of coordination.
  • 🤝 Complementarity between agents means that one firm's investment decisions reinforce similar actions by other firms, creating mutual incentives for higher investment.
  • 📊 The relationship between average investment levels and individual firms' profit-maximizing responses is upward sloping in cases of complementarity.
  • ⚠️ Complementarity is necessary but not sufficient for multiple equilibria to occur. Without complementarity, multiple equilibria cannot emerge.
  • 📍 Stable equilibria occur where the reaction function intersects with the 45-degree line, signifying that firms' profit-maximizing decisions align with the average investment in the economy.
  • 📉 The S-shaped reaction function can create two stable equilibria and one unstable equilibrium, with the unstable equilibrium acting as a dividing point between the two stable states.
  • 🧠 Learning by watching other firms' investment behaviors is an example of how firms might benefit from increased investment around them, but diminishing returns eventually set in.
  • 🚀 The concept of a 'big push' is introduced, emphasizing that significant increases in investment might be necessary to shift an economy from a lower equilibrium to a higher one, requiring collective action to overcome coordination failures.

Q & A

  • What is the main focus of Chapter 4 in the analysis of growth and development theories?

    -Chapter 4 focuses on contemporary ideas of economic development, particularly the idea of underdevelopment as a coordination failure, where the inability of agents like firms to coordinate leads to suboptimal outcomes.

  • What is a coordination failure in the context of economic development?

    -Coordination failure occurs when agents (such as firms) are unable to coordinate their actions, leading to an outcome where all agents are worse off, even though a better equilibrium exists. This can happen when the actions of different agents are complementary.

  • How do complementary actions among firms influence investment decisions?

    -Complementary actions mean that the decisions of one firm reinforce the incentives for other firms to take similar actions. For example, if other firms are investing, this increases the profitability for an individual firm to also invest.

  • What is the relationship between average investment in the economy and a firm's profit-maximizing investment response?

    -There is an upward-sloping relationship: as the average investment level in the economy increases, a firm's profit-maximizing investment level also increases due to the complementarity of actions.

  • How can multiple equilibria arise in an economy?

    -Multiple equilibria can arise when there are complementarities in actions between firms. Although complementarity is necessary for multiple equilibria, it is not sufficient by itself. Multiple equilibria occur when there are different stable points where firms' investment levels stabilize.

  • What is the significance of the 45-degree line in the investment response graph?

    -The 45-degree line represents the set of points where the average investment level matches the firm's profit-maximizing investment response. Equilibria are found where the firm's best response curve crosses the 45-degree line.

  • What role does 'learning by watching' play in the investment behavior of firms?

    -'Learning by watching' refers to the idea that firms, especially in developing economies, learn modern production techniques by observing the investments and actions of other firms. This can lead to increasing investment at an increasing rate initially, but diminishing returns set in after some point.

  • Why are some equilibria considered stable while others are unstable?

    -Stable equilibria occur when a firm's best response reinforces the existing investment level, causing the economy to return to that point if disturbed. Unstable equilibria occur when even a slight deviation causes the economy to move away from that point, leading to either higher or lower investment levels.

  • What is the 'economic divide' described in the analysis?

    -The 'economic divide' refers to the point where the reaction function crosses the 45-degree line from below, creating a boundary between different possible outcomes. Small changes can cause the economy to move either to a higher or lower equilibrium.

  • What is the 'big push' model, and why is it relevant to multiple equilibria?

    -The 'big push' model suggests that a large, coordinated increase in investment is needed to move an economy from a lower equilibrium to a higher one. It is relevant to multiple equilibria because it explains why developing economies may struggle to move to a better equilibrium without substantial intervention.

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الوسوم ذات الصلة
Economic GrowthDevelopment TheoryCoordination FailuresInvestment StrategiesMultiple EquilibriaComplementarityBig Push ModelProfit MaximizationDeveloping EconomiesLearning by Watching
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