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September 12, 2007

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Comments

Chris Hibbert

You have several good ideas here. Your contingent markets are usually called "conditional bets" in the PM literature. I haven't thought about the role of futures and options; I suspect when markets get thicker and longer-lived that may be valuable. Another fix to encourage people to buy and hold in long-lived markets is to have the value of the underlying currency indexed to T-bills or Spiders. (This was suggested by Robin Hanson in his earliest papers on prediction markets.)

But the point I really want to address is about betting against overpriced issues. There are a couple of ways for the trader to think about it: in terms of the expected value (a probabilistic view) or in terms of moving the price. For people who are comfortable thinking in terms of probabilities, the way to conceive of the bet is that you're paying .05 for something that you expect to come true 40% of the time. That means that you'll lose the bet 60% of the time, but in that 40% when you do win, you paid a low enough price to make up for the losses. In order for this to make sense to you, you have to believe that you're acting on enough probability estimates that the averages will hold for you, and you have to be convinced that your estimates are right. For me, If I'm convinced that I'd still make money if the truth were halfway between my estimate and the market, then I'll make the investment, but others should temper their betting based on how much experience they have in these markets to calibrate their predictions.

The other approach is to think of the bet in terms of the likelihood that the market price will move closer to your estimate before the close. If that happens, you'll be able to cash out at a profit even if the estimate still says that the event is more likely to happen than not. This is the concept behind your suggestion that people plan to cash out before the closing. I only expand on the idea to point out that you only make money if the market consensus moves after you bet. If "the herd mentality" keeps everyone from "seeing the truth as clearly as you do", then you'll have to sell your bet back at the same price with no gain. Before pursuing this kind of strategy, I always see if I can come up with a plausible story for why everyone else will see the light.

Jessica Margolin

Chris,
Great comments and explanations, and thanks for the tie to Robin Hanson's work.

It strikes me that there is a "time value of enlightenment," which is evident while waiting for the wisdom of he crowd to adjust to the wisdom of the truth-seeker.

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