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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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