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Title:

Geometry of Dependency Equilibria

Document type:
Zeitschriftenaufsatz
Author(s):
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 Decimal Classification:
510 Mathematik
Journal title:
Preprint
Year:
2022
Year / month:
2022-01
Quarter:
1. Quartal
Month:
Jan
Language:
en
Fulltext / DOI:
doi:10.48550/ARXIV.2201.05506
Publisher:
arXiv
Notes:
20 pages, to appear in "Rendiconti dell'Istituto di Matematica dell'Università di Trieste". Last revised 30 May 2022
Status:
Preprint / submitted
Submitted:
14.01.2022
Semester:
WS 21-22
TUM Institution:
Lehrstuhl für Mathematische Statistik
Format:
Text
Last change:
30.05.2022
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