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gross demand (xi)
the total final amount of a good a consumer wants to consume
net excess demand (xi - ω1)
desired consumption minus initial endowment
if ei > 0, the consumer is a net buyer
if ei < 0, the consumer is a net seller
Edgeworth Box
a graphical tool used to analyze general equilibrium outcomes in a 2-consumer, 2-good economy
Pareto efficiency
an allocation where there is no feasible reallocation of goods that would make all consumers at least as well-off and at least one consumer strictly better off
Walras’ law
states that the total value of aggregate excess demand across all markets is identically zero for all possible price vectors
First Theorem of Welfare
guarantees that any competitive equilibrium allocation is Pareto efficient
Second Theorem of Welfare
asserts that as long as preferences are convex, every Pareto efficient allocation can be supported as a competitive equilibrium through an appropriate redistribution of initial endowments
monopolist
A single seller with no close substitutes facing the entire downward-sloping market demand curve p(q)
price-maker
natural monopoly
Driven by huge fixed costs (F) and small marginal costs (MC), where Average Total Cost (ATC) falls across all output levels. One firm can serve the entire market at a lower average cost than multiple competing firms
legal monopoly
created by patents or government law to reward research and development (e.g., pharmaceutical drug patents)
innovation-driven monopoly
sustained by unique technological advances, high R&D intensity, and trade secrets (e.g., ASML lithography machines)
platform monopoly
controls a digital gatekeeper platform supported by network effects (e.g., Google Search handling over 90% of search traffic)
state monopoly
exclusive government-granted rights (e.g., Minnesota state lottery)
marginal revenue (MR)
the extra revenue from one more unit
= p(q) + q ⋅ p′(q)
elasticity rule
A profit-maximizing monopolist never operates on the inelastic portion of demand because MR would be negative
Lerner index
Measures market power as the price-cost gap relative to price
= p - MC / p = 1 / |ε|
deadweight loss
the net social loss in consumer and producer surplus caused by monopoly output restriction
minimum efficient scale
the output level where average total cost is minimized
large relative to market demand → monopoly
small relative to market demand → competition