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, Robert Hahn, Robin Hanson, John O. Ledyard, Saul Levmore, et al. 2008. “The Promise of Prediction Markets.” Science 320 (5878): 877–78. https://doi.org/10.1126/science.1157679.