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Title:

Nash conditional independence curve

Document type:
Zeitschriftenaufsatz
Author(s):
Portakal, Irem; Sendra-Arranz, Javier
Abstract:
We study the Spohn conditional independence (CI) varieties of an n-player game for one-edge Bayesian networks on n binary random variables. For generic payoff tables we prove that the Spohn CI variety is an irreducible complete intersection curve (Nash conditional independence curve) in the Segre variety (P1)n−2×P3 and we give an explicit formula for its degree and genus. We show that any affine real algebraic variety S⊆Rm defined by k polynomials with k»
Keywords:
Nash equilibria, dependency equilibria, Spohn variety, conditional independence variety, Bayesian network
Dewey Decimal Classification:
510 Mathematik
Journal title:
Preprint
Year:
2022
Language:
en
Fulltext / DOI:
doi:10.48550/ARXIV.2206.07000
Publisher:
arXiv
Submitted:
14.06.2022
Semester:
SS 22
TUM Institution:
Lehrstuhl für Mathematische Statistik
Format:
Text
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