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M21.L04 — Market Design: Auctions and Matching

Module: Module 21 — Information Asymmetry and Synthesis Lesson: L04 of 05 Duration: ~30 minutes Level: Intermediate Provenance: Principles of Microeconomics (Curtis and Irvine) | University of Utah Intermediate Microeconomics

Learning Objective

Compare auction formats and their strategic implications.

Auction Theory

Major auction types:

  1. English (ascending bid) - Price increases until one bidder remains
  2. Dutch (descending bid) - Price decreases until someone accepts
  3. First-price sealed bid - Highest bid wins, pays bid amount
  4. Vickrey (second-price) - Highest bid wins, pays second-highest bid

Revenue Equivalence Theorem: Under certain conditions, all standard auctions yield same expected revenue.

Australian applications:

  • Spectrum auctions (ACMA)
  • Treasury bond issuance
  • Online advertising auctions

Matching Markets

Gale-Shapley algorithm solves two-sided matching problems:

  1. Propose-and-reject process
  2. Yields stable matching (no blocking pairs)
  3. Used in:
  4. Medical residency matching
  5. School choice programs
  6. Australian university admissions

Key properties:

  • Algorithm is strategy-proof for one side
  • Always produces stable matching
  • Matching is optimal for proposing side

Worked Example

[Australian context]

Consider Australian Energy Market Operator (AEMO) electricity auctions:

  • Generators submit supply curves
  • AEMO matches supply and demand
  • Market-clearing price set at intersection

This is essentially a multi-unit auction where generators are bidders and electricity is the good.

Common Misconception

"The highest bidder always wins auctions"

Correction: In multi-attribute auctions (like spectrum), winners are determined by both price and non-price factors (e.g., coverage commitments).

Key Takeaways

  • Auction format affects bidding strategy
  • Vickrey auctions induce truthful bidding
  • Matching markets require stability
  • Australian markets use sophisticated designs

Practice

  1. Why might the Australian government use Vickrey auctions for spectrum licenses?
  2. How does the deferred acceptance algorithm prevent manipulation?
  3. Calculate expected revenue for a first-price auction with two bidders valuing item at $100 and $80.

Further Resources

Provenance: Principles of Microeconomics (Curtis and Irvine) | University of Utah Intermediate Microeconomics