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Uniqueness of Equilibria in Interactive Networks | | Chien-Hsiang Yeh
; | | Date: |
1 Jun 2022 | | Abstract: | This paper extends the unified network model, proposed by Acemoglu et al.
(2016b), such that interaction functions can be heterogeneous, and the
sensitivity matrix has less than or equal to one spectral radius. We show the
existence and (almost surely) uniqueness of equilibrium under both eventually
contracting and noncontracting assumptions. Applying the equilibrium in the
study of systemic risk, we provide a measure to determine the key player who
causes the most significant impact if removed from the network. | | Source: | arXiv, 2206.00158 | | Services: | Forum | Review | PDF | Favorites | |
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