Tropical geometry recovers Datta's permanent formula for algebraic degrees in network games as an intersection count and proves the degree is multiplicative over strongly connected components while growing differently under Cartesian versus tensor couplings.
arXiv preprint arXiv:1606.04880 , year =
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The Algebraic Degree of Network Games via Tropical Geometry: A Geometric Perspective on Datta's Formula
Tropical geometry recovers Datta's permanent formula for algebraic degrees in network games as an intersection count and proves the degree is multiplicative over strongly connected components while growing differently under Cartesian versus tensor couplings.