A finite characterization of perfect equilibria

2021-12-14 | journal article. A publication with affiliation to the University of Göttingen.

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​A finite characterization of perfect equilibria​
Callejas, I.; Govindan, S. & Pahl, L.​ (2021) 
Mathematical Programming, pp. 1​-8​.​ DOI: https://doi.org/10.1007/s10107-021-01746-8 

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Authors
Callejas, Ivonne; Govindan, Srihari; Pahl, Lucas
Abstract
Abstract Govindan and Klumpp [7] provided a characterization of perfect equilibria using Lexicographic Probability Systems (LPSs). Their characterization was essentially finite in that they showed that there exists a finite bound on the number of levels in the LPS, but they did not compute it explicitly. In this note, we draw on two recent developments in Real Algebraic Geometry to obtain a formula for this bound.
Issue Date
14-December-2021
Journal
Mathematical Programming 
Organization
Mathematisches Institut 
ISSN
0025-5610
eISSN
1436-4646
Language
English
Sponsor
Rheinische Friedrich-Wilhelms-Universität Bonn (1040)

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