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Main Title: Characterizing the Existence of Potential Functions in Weighted Congestion Games
Author(s): Harks, Tobias
Klimm, Max
Möhring, Rolf H.
Type: Research Paper
Abstract: Since the pioneering paper of Rosenthal a lot of work has been done in order to determine classes of games that admit a potential. First, we study the existence of potential functions for weighted congestion games. Let W be an arbitrary set of locally bounded functions and let G(W) be the set of weighted congestion games with cost functions in W. We show that every weighted congestion game G in the set G(W) admits an exact potential if and only if W contains only affine functions. We also give a similar characterization for b-potentials with the difference that W consists either of affine functions or of certain exponential functions.
Subject(s): game theory
potential functions
weighted congestion games
Cournot games
Issue Date: 2009
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2009, 11
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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