Will the day that the prisoner dies in my Unexpected Hanging Paradox markets be a surprise?
60
1.2kṀ78k
resolved Aug 22
Resolved
YES

I just made five markets for the Unexpected Hanging Paradox group that ask on what day the prisoner in the paradox will die. These will be resolved on August 21 - August 25, with one of them resolving to YES on the day the fictional prisoner dies, and the others resolving to NO.

/JosephNoonan/unexpected-hanging-paradox-will-the

/JosephNoonan/unexpected-hanging-paradox-will-the-b868b0ea1944

/JosephNoonan/unexpected-hanging-paradox-will-the-3ec27a5399f0

/JosephNoonan/unexpected-hanging-paradox-will-the-439dbd22774d

/JosephNoonan/unexpected-hanging-paradox-will-the-77d7ee47594c

This market resolves to YES if, on the day that the prisoner dies, the corresponding market is trading, on average, below 50% prior to resolution. I will be using midnight in the Central time zone as the cutoff between days.

At the request of a trader, I'm adding a sha256 hash of some text that reveals the answe (obviously, it's more than just stating the day, since then you could crack it in five guesses). No one will be able to tell what this is the hash of until resolution, but this will ensure that I can't change the day now that it's already decided.

3f75dc7c733335e5af1dcf7b90f384a16e6943e8e44bd95b7c4544185a7c04b3

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predictedYES

I've been wanting to make a sequel to this series of markets but didn't have another paradox that would fit well with the prediction market format. But I recently came across Cover's paradox, which works perfectly for a prediction market.

predictedYES

The input for the hash code was

Surprise! Were you expecting me? Hm, maybe not. Today is Tuesday, the day of your doom.

You can check it here: https://emn178.github.io/online-tools/sha256.html

predictedYES

Does anybody want me to calculate the exact average, or are we all fine with resolving it YES now?

@JosephNoonan oh shit I missed the "on average" part

Seems unnecessary to me

@JosephNoonan anyway, I guess I'll bite that bullet. I've sold now just resolve

Since there may be some confusion behind my trading on this market, let me share the reason for the YES.

Many traders suggested I should commit to it being a surprise, and this seems like the perfect way to do it. It is an experiment to learn the result of such training, and I allocated myself a large budget for it.

I just wanted to learn some market dynamics, guys.

@JosephNoonan I feel like someone has filled my NO limit orders using insider knowledge...

predictedYES

@FlorisvanDoorn To be fair, you probably shouldn't have placed limit orders on a market where the top YES holder is known to have inside info. But I can pay you back for the cost of the limit orders if you want. The total amount was 200, right?

@JosephNoonan I didn't realize you allowed yourself to continue trading once the week started. But that was just my mistake: I assumed it, but it was well within your right to do it.

And don't worry about paying back: I think I made more by quickly trading on the other markets once I realized what happened.

predictedYES

@FlorisvanDoorn Yeah, I see you made 840 on the Tuesday market

@FlorisvanDoorn What did you realize happened? I'm trying to work out why the tuesday market spiked before resolving

predictedYES

@HastingsGreer The market creator bought 15k shares of YES on this market to ~98%. I reasoned that they would only do that if they knew that this market would resolve YES, and that could only be the case if the chosen day was Tuesday.

So my limit orders were helpful to generate a notification for this purchase, but 3 limit orders of 200 mana each was a bit expensive for that notification. :-)

predictedYES

@JosephNoonan OK, I don't see any objections, so I resolved it.

predictedYES

@HastingsGreer

I'm trying to work out why the tuesday market spiked before resolving

The prisoner heard the executioner's footsteps coming.

predictedYES

Maybe my 500 mana bet wasn't enough to convince people it will be a surprise. Do people think I should bet more?

predictedNO

@JosephNoonan I gotta say people's probabilities have been way off what i would have expected.

predictedYES

@JosephNoonan Yes! I trusted you that you wouldn‘t screw this up, but I‘m getting less and less convinced the longer it takes.

Edit: Thanks!

predictedYES

The markets currently give the prisoner a 108% chance of dying.

predictedYES

@JosephNoonan Poor guy :)

This might have worked better as a single multi-choice market

predictedYES

@rpominov There are some drawbacks to it, but actually I'm glad I did it as five separate markets. I kind of had to do it that way because I don't know how to get the probabilities of individual options in a multiple choice market from the API, but I do know how to get the probability from a binary market. So I have to have them as binary markets in order to resolve this one.

Regardless, I think there are other benefits of having it be five separate markets:

  • If the prisoner survives a day, then I can immediately resolve that market to NO at the end of the day, rather than having to wait until the prisoner dies.

  • For some reason, it just feels more exciting/suspenseful for there to be a market for each day.

  • Having five markets instead of one increases the chance that people will see them.

  • They start out with double the liquidity (of course, this also means it cost me double to make them, but they made back that cost long ago through UTBs, so I actually profited overall from that decision).

  • Binary markets still have better UI features, like the ability to sell shares and see everyone's position and profits.

  • At the beginning, most of the markets were hovering around 20% based on some traders assuming that the probabilities should be equal. Now, the consensus has changed to "Friday is less likely than the other days", but still, having every option start out at 20% as they do in a binary market might have discouraged people from trading early on (whereas, having them in their current state encourages trading for arbitrage if nothing else).

I don't think the total probability adding up to >100% is that big of a problem. It just means that someone can make some free mana by betting them down a little (in fact, it appears that someone has already done that, since the probabilities are back down).

predictedYES

@JosephNoonan Yeah, it's great as is too!

predictedYES

@JosephNoonan This is a useless warning considering that you already decided the day, but Tuesday really is likely to be the last day that has the probability under 50%.

predictedYES

@JosephNoonan Now the probabilities add up to 109%. Seemingly due to the lack of time decay on the Monday market.

predictedYES

@JosephNoonan I thought that once Monday resolves NO, the probabilities would be back in line, but people have already overcorrected and brought the remaining markets up to 110%.

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