Centered, *Exponential* Time Weighted Keynesian Beauty Contest (The Market, KBC edition)
16
3.1kṀ160k
resolved Dec 30
96%95%
1
4%2.0%
2
1.7%
0
0.3%
-1
0.1%
-2
0.1%
4
0.1%
-4
0.0%
8
0.0%
-8
0.0%
16
0.0%
-16
0.0%
32
0.0%
-32
0.0%
64
0.0%
-64
0.0%
128
0.0%
-128
0.0%
256
0.0%
-256
0.1%
512

ONE MORE TIME! In this version, the options increase and decrease exponentially to +/- 1024. We're still aiming for a version of this market that doesn't easily converge! I believe the issue with the last market was that the space between the options increased as well as the options themselves. In this one, the space around 0 has the tightest spread between the options, so rapid swings are possible.

The Keynesian Beauty Contest is a game theory experiment where a group of players are asked to guess a number between 0 and 100.. The winner of the contest is the player(s) who guess closest to half the average of all the guesses.

I've made the market only 2 weeks long, since so much mana ends up locked up.

This is an attempt to perform this experiment on Manifold, but using continuous averaging of options. At close I will resolve the market to a linear weighting of the options above and below half the average of the unrounded probability weighted value of the options OVER TIME.

For example, if all options are bid down to 0% except 32 and 64, and 32 stays at 30% the whole time, and 64 stays at 70%, the final result is (32*.3 + 64*.7) / 2 = 54.4 / 2 = 27.2, which would mean this market would resolve to 30% 16, 70% 32.

Obscenely grotesquely unnecessary? Wildly and willfully overcomplicated? We're all nerds here, deal with it.

First version of the code: https://pastebin.com/Q13ipby3

Go search for bugs: /DanMan314/will-someone-find-a-bug-in-the-firs-a17296f9b1a7

This may not be the final version I use to resolve the market. I'll re-run it when I feel like it, and post the output - I'm not holding myself to any particular schedule.

Changelog:

  • Initialize lower bound in search to -9999999... instead of 0

  • Automatically generate the output time thing I've been manually updating

Output 12/29 10:47PM PST

Total Bets: 32851
Current Weighted Sum: 1.453527962482669

Time Weighted Sum: 2.069811315180322
Final Answer: 1.034905657590161
Resolution: 97% 1, 3% 2
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