Prediction Markets

POLS 3220: How to Predict the Future

Hedgehog Professor vs. The Market

Today’s Agenda

  • What are prediction markets?

  • How do they work?

  • When should you trust them?

  • When should you be skeptical?

Probability As A Bet

  • Suppose I offered you a contract that pays $1 if it rains tomorrow.

  • Ponder: How much would you be willing to pay for this contract?

  • It depends on the probability of rain!

  • If \(P(\text{rain}) = 0.2\), then buying the contract for any price less than 20¢, will, on average, earn you a profit.

Prediction Markets

  • A prediction market is an exchange where people buy and sell these types of contracts.

  • The potential for profit creates strong incentives for participants to seek out good information and make good predictions (Arrow et al. 2008).

  • The “market price” for each contract reflects participants’ beliefs about the probability of that event.

Class Activity

  • To demonstrate how prediction markets work, we’re going to create our own.

  • Everyone starts the game with a sheet of 300 foxcoin and a stack of contracts.

    • Your goal is to have the most foxcoin by November 25.
  • We’ll record the order book for each contract on the board.

    • If you want to buy a contract, put your name and the price you’re wiling to pay in the “Bid” column.

    • If you want to sell a contract, put your name and the price you’re willing to pay in the “Ask” column.

When do markets work best?

  • Trading volume is high.

    • Just like we saw with the Condorcet Jury Theorem, the “wisdom of crowds” works best when the crowd is large.
  • Time horizons are short.

    • Markets tend to be more accurate the closer you get to an event.

    • Profit motive is much weaker for long-term contracts.

      • (Why put in the effort to accurately price a 10-year prediction contract when you could just earn 50% compound interest on a US Treasury Bond?)

When should you be skeptical?

  • Anyone who thinks the answer is less than 20% has no incentive to participate in this market!

References

Arrow, Kenneth J., Robert Forsythe, Michael Gorham, et al. 2008. “The Promise of Prediction Markets.” Science 320 (5878): 877–78. https://doi.org/10.1126/science.1157679.