2. Achievement of the market system Flashcards
Is there production in an exchange economy?
No
What is the impact of productivity on welfare allocation?
Productivity increase impacts welfare allocation
General competitive equilibrium (GCE)
- Described by a vector of prices and a consumption bundle for each consumer (allocation) such that:
- Every consumer maximises utility given prices (Derivative = 0), and
- Market clears: The ttoal demand for each commodiit just eqals the aggreaget endowment (Demand = Supply)
What are the dimensions of the box?
Supply
Non satiation
Consumers enjoy more consumption, no maximum
General equilibrium in a competitive exchange economy
Solving for the GCE in an endowment economy
What if there are many consumers of different types
What is the Lagrangian optimisation?
How do the Lagrangian optimisation
Step by step of GCE in an exchange economy
Example: Step 1 write down the budget constraint for each consumer
EXAMPLE
Step 2: Write down each consumer’s constrained optimisation problem
EXAMPLE
Step 3: Use the Lagrangian method to find consumer demands
Anna
EXAMPLE
Step 3: Use the Lagrangian method to find consumer demands
Bilab
EXAMPLE
Step 4: Solve the market clearing condition(s) to find GCE price(s).
EXAMPLE
Step 4: Solve the market clearing condition(s) to find GCE price(s).
• Let’s confirm Walras Law by examining the market for good 𝑌
EXAMPLE
Step 5: Find the GCE allocation
EXAMPLE
Edgeworth Box
EXAMPLE
Step 6: Find consumer welfare at the GCE
EXAMPLE
GCE value
What if there is no GCE equilibrium?
EXAMPLE
What if there are no prices at which demand equals supply in every market?
Will a GCE exist?
• Condition for existence
First fundamental welfare theorm