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Titel:

Geometry of Dependency Equilibria

Dokumenttyp:
Zeitschriftenaufsatz
Autor(en):
Portakal, Irem; Sturmfels, Bernd
Abstract:
An n-person game is specified by n tensors of the same format. We view its equilibria as points in that tensor space. Dependency equilibria are defined by linear constraints on conditional probabilities, and thus by determinantal quadrics in the tensor entries. These equations cut out the Spohn variety, named after the philosopher who introduced dependency equilibria. The Nash equilibria among these are the tensors of rank one. We study the real algebraic geometry of the Spohn variety. This vari...     »
Dewey Dezimalklassifikation:
510 Mathematik
Zeitschriftentitel:
Preprint
Jahr:
2022
Jahr / Monat:
2022-01
Quartal:
1. Quartal
Monat:
Jan
Sprache:
en
Volltext / DOI:
doi:10.48550/ARXIV.2201.05506
Verlag / Institution:
arXiv
Hinweise:
20 pages, to appear in "Rendiconti dell'Istituto di Matematica dell'Università di Trieste". Last revised 30 May 2022
Status:
Preprint / submitted
Eingereicht (bei Zeitschrift):
14.01.2022
Semester:
WS 21-22
TUM Einrichtung:
Lehrstuhl für Mathematische Statistik
Format:
Text
Letzte Änderung:
30.05.2022
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