Will someone run a Manifold plays chess (or other game) market with conditional markets?
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Ṁ6045
resolved Mar 6
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YES

This market resolves YES if someone starts running a Manifold plays chess (or another game) series of markets based on using conditional markets to pick moves, as described below, before June 2023. I intend to be pretty broad with what counts here.

Background

Manifold plays chess 1 chose each move with a prediction market that predicted which move would be chosen - this is just a Keynesian beauty contest (predict what other people will predict) and failed because someone forced a blunder and made a profit on a big bet that Manifold would lose.

Manifold plays chess 2 chose each move by having people vote on it, weighted by how many YES shares they held in Manifold winning the game. Think of it like people can buy (or short) shares in "Manifold chess corp", and the YES shareholders vote their shares on what to do. This is still playing out, but there are some obvious flaws that have already been seen.

Neither of those really leverages the true power of prediction markets to make decisions.

Proposal

If I were designing a way for Manifold to play and win chess with prediction markets (aka a futarchy), my first instinct would be to use conditional markets: for each move decision to be a set of binary markets, each one being "If we play move X, will we win?" Then you pick the move with highest probability, and resolve at the end of the game.

I think this sort of approach works reasonably well (it's still exploitable, but harder).

One flaw with this very initial design is that people's mana will stay locked up for the entire duration of the game - it's very capital inefficient. (Note, margin or loans aren't a suitable solution to that because those markets are all 100% correlated - they all resolve the same based on whether we win.) To address that, you could try to strike a balance by evaluating the position after N moves. Examples could be, after N moves resolve to some simple evaluation of the board position (say, will we gain/lose material, or the evaluation of a weaker stockfish), or to manifold's evaluation of the win probability from another market.

So here's my ruleset proposal I currently have in mind for a futarchical Manifold plays chess: For each move, we generate 5 candidate moves by some method (e.g. ask a weak-stockfish to pick some moves, or by popular vote). We create a market for each: If this move is chosen, what will be the win probability after 5 moves, as evaluated by weak-stockfish (or, as evaluated by a prediction market)? The one with the top probability is chosen (the others resolve N/A). Of course, there are lots of variations on this theme that you could imagine - e.g. you could resolve to Manifold's predicted win probability instead of weak-stockfishes, or let Manifold generate the proposed moves.

The markets would probably benefit from typical anti-snipe rules - e.g. use the average probability over the last 5 hours, or allow the market to extend if there's excessive volatility just before closing.

This models real-world scenarios where you have some imperfect metrics to give an evaluation of the state of the world, and some method to suggest proposals that may or may not be good, and then you use prediction markets to evaluate how good each proposal is - i.e. a futarchy

I don't intend to run this myself because I'm not that familiar with chess. But I'd also be interested in Manifold playing another game that doesn't have powerful computer engines. That might be a more realistic model of real-world approaches to futarchy design.

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Sad that I only made a M$ 15 profit even with my insider knowledge.

predicted YES

Main game: /harfe/will-white-win-in-manifold-plays-ch

First move candidates picked in free response market: /harfe/manifold-plays-chess-3-what-will-wh

Candidates conditionals:

/harfe/manifold-plays-chess-3-if-we-play-1

/harfe/manifold-plays-chess-3-if-we-play-1-360853436424

Seems to me this should meet your criteria?

@deagol Yes, this counts.

Maaan mutually-exclusive linked binary markets would be so nice for this

Some minor variations on the above that I'm thinking of:

  • Instead of automatically generating candidate moves, users can use a bot command to create a market for any legal move. There would need to be a timeframe, so perhaps it runs on a 2-day cycle -- day 1 propose moves with bot commands, day 2 bet on the move markets

  • Pay out move markets PROB on the evaluation market N moves later

  • ... or, crib from RL: pay out PROB by multiplying the evaluation market by a discount rate normalized over many days

    • i.e. the continuous version of [E(t+1) + E(t+2)(n) + E(t+3)(n^2) + E(t+4)(n^3) + ... + E(t+k)(n^k-1)] / k

  • Possibly try to normalize / leverage the move markets, so that 50% means "our position is no stronger or weaker than before" instead of "50% chance of winning"

Why limit to 5 moves from a weak engine? Why would anyone bet any of those would win against a strong enough opponent? Should let anyone suggest a conditional market on whatever move they think is the best.

@deagol The reason for that suggestion was to make the markets more manageable. Allowing anyone to suggest a market would probably be better if there were a reasonable way to make sure everyone could see and trade on them, and avoid a situation of e.g. someone creating random move proposal that they bid up to 99% because nobody else noticed it.

Ideally, Manifold implements support for a group of linked binary markets - https://manifoldmarkets.notion.site/Multi-set-of-binary-markets-8bd7ad1fde074e67b75bc1dd65f9a59a.

predicted YES

Another suggestion I had was to let people select a shortlist of moves (pick your favorite mechanism) and then run conditional markets on the shortlist.

@jack I meant anyone can ask for the organizers to create it, with same visibility as all others and same rules. If anyone could create it then they could resolve it in their favor as they please, particularly high risk of not following the N/A rule.

predicted YES

@deagol Good point, that's a better way of doing it than letting anyone make the markets. Still sounds like a big pain to manage, both for the person making the markets and for everyone predicting in them, if people propose a ton of moves, but it might be ok.

predicted NO

@jack Pain, yes, why I bought a few NO here. :) Yet the implementation proposal you linked above would indeed make it much less painful for creators/traders.

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