A Solution to the Deer Hunter Paradox

From Ben's Writing

For the background on this article please see Meta Games.

Write-up the solution ;) (benner)
Explain what a Kronecker product is (benner)

In general, the Kronecker product is not commutative; however, for our purposes, we can assume that it is. We are able to do this because there exist permutation matrices Failed to parse (PNG conversion failed; check for correct installation of latex, dvips, gs, and convert): P\,

and Failed to parse (PNG conversion failed; check for correct installation of latex, dvips, gs, and convert): Q\,
such that Failed to parse (PNG conversion failed; check for correct installation of latex, dvips, gs, and convert): A \otimes B = P \, (B \otimes A) \, Q

. That is, all entries in $A \otimes B$ are in $B \otimes A$ except in different locations. This meets our basic criteria: that all entries are preserved, so no permutation matrices need to be calculated or applied.