A game-theory-inspired decomposition of interspeciﬁc interaction matrices
Abstract: In evolutionary game theory, pair interactions are usually deﬁned through so-called payoff matrices, which can be decomposed as linear combinations of basis matrices that represent just four different orthogonal interaction types. In this paper, we take the ﬁrst steps in exploring the utility of this decomposition in ecology. We introduce the componental cosines of the irrelevant, external, coordination, and conﬂict components of matrices to measure the relative weight of the different interaction types, and use them to analyse the composition of 33 experimentally obtained interspeciﬁc interaction matrices compiled from the literature, which reveals statistically signiﬁcant correlations both between different components and some components and community productivity and biodiversity.
Keywords: interaction types / game theory / interspeciﬁc interaction matrices / decomposition
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