[Manifold Plays Chess 3] If we play 41. f4, what is the score after move 42 (leveraged)?
6
304
150
resolved Jun 1
Resolved as
92%

Check the game here: https://lichess.org/GF9YULQP.

The game so far: 1. e4 e5 2. Bc4 Nf6 3. Nc3 Nc6 4. Nf3 Nxe4 5. Nxe4 d5 6. Bd3 dxe4 7. Rg1 Bf5 8. Bb5 exf3 9. Bxc6+ bxc6 10. Qxf3 Qd7 11. Qc3 f6 12. g4 Bxg4 13. Rxg4 h5 14. Re4 Qd5 15. Qf3 Rd8 16. d3 a6 17. b3 Qc5 18. Kd1 a5 19. Bb2 g6 20. Qxf6 Kd7 21. Rxe5 Qd6 22. Qxh8 Be7 23. Qg7 Rf8 24. Rxe7+ Qxe7 25. Qxe7+ Kxe7 26. Ba3+ Kf7 27. Bxf8 Kxf828. Kd2 Kf7 29. Re1 Kg7 30. Re7+ Kf6 31. Rxc7 h4 32. a4 g5 33. b4 Ke6 34. bxa5 Kd6 35. Rb7 Ke6 36. a6 Kd5 37. h3 Kc5 38. a7 g4 39. a8=Q Kd6

The other candidate moves are 41. Qe7+ and 41. Kc3

The conditional market for the other moves are here:



The market value (averaged over the last 4 hours before close) of this market and the other markets will be measured. If this market has a higher (last-4-hour-average) market value, it will resolve to the score after move 42, otherwise it will resolve N/A. Note that "Market value" and "Score" do not work on the same schale.

Here is a table of the correspondence to market value and score for the current move which will be used to calculate PROB from this score:

Here is a table of the correspondence to market value and score

value score

----- -----

0.00 0.000

0.03 0.246

0.07 0.574

0.10 0.820

0.20 0.840

0.30 0.860

0.40 0.880

0.50 0.900

0.60 0.920

0.70 0.940

0.80 0.960

0.90 0.980

0.93 0.986

0.97 0.994

1.00 1.000

----- -----

This correspondence is defined by linearly interpolating between the points

(0.0, 0.0), (0.1, 0.82), (0.9, 0.98), (1.0).

The score after move 42 is the score (not market value) of the winning move in move 42.

It might have a different function to calculate scores from market values: The function assigns score z to 50% market value, z+0.08 to 90% market value and z-0.08 to 10% market value, where z is the (rounded) score after move 41, but at most 0.9 and at least 0.1. Note that when the game ends, the score will be 1.0 - #moves x 0.0004 if white wins, 0.5 - #moves x 0.0002 if its a draw, or 0.0 if we lose.

Some More details for the overall game here:

https://manifold.markets/harfe/will-white-win-in-manifold-plays-ch

Get Ṁ600 play money

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predicted NO

resolution of market 41. f4:

resolution score: 0.984000

corresponding market value: 0.920000

probabilistically rounded: 92%

predicted YES

It’d be a shame, an undeserved black-eye on this intricate, way more robust than initially expected decision-making structure you devised, if you couldn’t finish this game right before the final move by losing all your mana in a gamble. I see you do have just enough balance, and could liquidate a bit of the investment value, but I’m willing to send you M$100 manalink to help subsidize the creation of the 2-3 markets remaining.

predicted YES

I reserve the right to change some of the rules during the game […] if I am concerned that funding the remainder of the game will become too expensive. In that case, I do not attempt to change the outcome of the game.

I note the last sentence means you don’t have to create any more markets, could just resolve this to 92%, and the main to YES.

predicted NO

@deagol thanks, I really appreciate the offer. I ended up spending 10 dollars and can finance the rest myself :) - I accidentally got a negative amount of Mana. Next market will be set up soon or in a couple of hours.

predicted NO

41. Kc3: Average market value: 0.848465

41. Kc3: score: 0.969693

41. f4: Average market value: 0.910359

41. f4: score: 0.982072

41. Qe7+: Average market value: 0.890000

41. Qe7+: score: 0.978000

Winner: 41. f4

--------------------

resolution of market 40. Qe8:

resolution score: 0.982072

corresponding market value: 0.910359

probabilistically rounded: 91%