Shubik, M. (1954). Does the fittest necessarily survive? In M. Shubik (Ed.), Readings in Game Theory and Political Behavior (pp. 43-46). New York: Doubleday.

]]>To solve this problem you need to add and subtract 1 to the right

hand side of both identities:

(A-B)C = B A^-1 -AA^-1 +1

C(A-B) = A^-1B -A^-1A +1

Then factorize A-B oi the left had side

you get:

(A-B)(C+A^-1) =1

(C+A^-1)(A-B) =1

CQFD ]]>

Also, many thanks for permitting me to comment!

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