Vulcan-Academy / Vulcanomicon

Rationality, ethics, metaphysics.
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Value Formula and Cost #65

Closed SeverTopan closed 5 years ago

SeverTopan commented 5 years ago

Implementation of our recent discussion. See https://severtopan.github.io/Vulcan-Academy.github.io/Lexicon.html for formatted version.

macterra commented 5 years ago

image

The world states are (the agent possessing) $1, $2, $3, $4, $5, $6, 1 pie, 2 pies, 3 pies, 4 pies

macterra commented 5 years ago

In this example the agent values the pie at $3, the 2nd pie at $2, the 3rd pie at $1, and zero for the 4th pie.

SeverTopan commented 5 years ago

From the value array it looks like p1 == $3, p2 == $5, p3 == $6, and p4 is worth >$6.

Also if my interpretation from above is correct, cell J7 should be 0 so that 3p and $6 have the same Cost (current nomenclature).

macterra commented 5 years ago

image good catch, fixed.

p4 is worth the same as p3 because the marginal value of additional pies has dropped to 0