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  5. Categorical Market

Categorical Market

Definition

A Categorical Market has multiple mutually exclusive outcomes (A/B/C…). Outcome prices sum to ~100% as probabilities (or ~$1).

Structure

Unlike binary markets with just Yes/No, categorical markets offer multiple choices:

  • Multiple outcomes: 3 or more options
  • Mutually exclusive: Only one can happen
  • Sum to 100%: All prices add up to approximately $1.00

Examples

Political Elections

"Who will win the 2024 Presidential Election?"

  • Candidate A: $0.45 (45%)
  • Candidate B: $0.38 (38%)
  • Candidate C: $0.12 (12%)
  • Other: $0.05 (5%)
  • Sum: $1.00 (100%)

Economic Outcomes

"What will the Fed's next rate decision be?"

  • Cut 0.25%: $0.15
  • Cut 0.50%: $0.05
  • No change: $0.60
  • Hike 0.25%: $0.18
  • Hike 0.50%: $0.02
  • Sum: $1.00

Sports

"Which team will win the championship?"

  • Team A: $0.35
  • Team B: $0.28
  • Team C: $0.20
  • Team D: $0.12
  • Other: $0.05

How to Read Prices

Each price represents that outcome's implied probability:

  • Higher price = More likely
  • Prices must sum to ~$1.00 (ignoring fees)

Trading Strategy

Finding Value

Look for outcomes where you believe:

Your probability > Market price

Arbitrage Opportunities

If prices sum to more or less than $1.00, arbitrage may be possible by buying/selling multiple outcomes.

Payout Structure

At resolution:

  • Winning outcome pays $1.00 per share
  • All other outcomes pay $0.00 per share

Example Trade

Market: "Next Fed rate decision?"

Your analysis:

  • Cut 0.25%: You think 25%, Market shows $0.15 ✓ Underpriced
  • No change: You think 50%, Market shows $0.60 ✗ Overpriced
  • Hike 0.25%: You think 25%, Market shows $0.18 ✓ Underpriced

Action: Buy "Cut 0.25%" and "Hike 0.25%" shares

Advantages

  • Nuanced forecasting: Capture probability across multiple scenarios
  • More information: Shows relative likelihood of each outcome
  • Better for complex events: Elections, tournaments, multi-way decisions

Challenges

  • Lower liquidity: Volume spread across multiple outcomes
  • Complex pricing: Harder to spot value
  • Correlation risk: Related outcomes may move together

Related Terms

  • Binary Market
  • Scalar Market
  • Implied Probability
  • Arbitrage
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