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• Discord message for help to #market-math

Instead of a set of binary AMMs, what if you only list YES shares for each answer.

You can convert a multi-choice market with binary AMMs to just yes shares by converting all NO shares to YES shares in every other answer.

Read more about the multi-cpmm mechanism here

Answer - Y / N shares

A 10 / 10 → 10 / (10 + 10) = 50%

B 30 / 10 → 10 / (30 + 10) = 25%

C 30 / 10

Becomes

A 30

B 50

C 50

(This conversion uses the identity that a NO share in an answer is equal to YES shares in every other answer.)

But the following set of Y/N pools also converts to same YES-only pools:

A 10 / 20 → 20 / (10 + 20) = 2/3

B 20 / 10 → 10 / (20 + 10) = 1/3