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- Titel:
Nash conditional independence curve
- Dokumenttyp:
- Zeitschriftenaufsatz
- Autor(en):
- 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
» - Stichworte:
- Nash equilibria, dependency equilibria, Spohn variety, conditional independence variety, Bayesian network
- Dewey Dezimalklassifikation:
- 510 Mathematik
- Zeitschriftentitel:
- Preprint
- Jahr:
- 2022
- Sprache:
- en
- Volltext / DOI:
- doi:10.48550/ARXIV.2206.07000
- Verlag / Institution:
- arXiv
- Eingereicht (bei Zeitschrift):
- 14.06.2022
- Semester:
- SS 22
- TUM Einrichtung:
- Lehrstuhl für Mathematische Statistik
- Format:
- Text
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