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Contribution Details

Type Journal Article
Scope Discipline-based scholarship
Title Excess payoff dynamics in games
Organization Unit
Authors
  • Carlos Alos-Ferrer
  • Josef Hofbauer
Item Subtype Original Work
Refereed Yes
Status Published in final form
Language
  • English
Journal Title Journal of Economic Theory
Publisher Elsevier
Geographical Reach international
ISSN 0022-0531
Volume 204
Page Range 105464
Date 2022
Abstract Text We present the family of Excess Payoff Dynamics for normal-form games, where the growth of a strategy depends only on its current proportion and the excess payoff, i.e., the payoff advantage of the strategy over the average population payoff. Requiring dependence only on the own excess payoff and a natural sign-preserving condition, the class essentially reduces to aggregate monotonic dynamics, a functional generalization of the Replicator Dynamics. However, Excess Payoff Dynamics also include a different subclass which contains the Replicator Dynamics, the Brown-von Neumann-Nash Dynamics, and other interesting examples as, e.g., satisficing dynamics. We also clarify the relation to excess demand dynamics from microeconomics.
Digital Object Identifier 10.1016/j.jet.2022.105464
Other Identification Number merlin-id:23268
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Keywords Economics and econometrics, excess payoff, evolutionary dynamics, BNN dynamics, excess demand