Periodic Attractor in the Discrete Time Best-Response Dynamics of the Rock-Paper-Scissors Game

José Pedro Gaivão () and Telmo Peixe ()
Additional contact information
José Pedro Gaivão: Universidade de Lisboa
Telmo Peixe: Universidade de Lisboa

Dynamic Games and Applications, 2021, vol. 11, issue 3, No 3, 511 pages

Abstract: Abstract The Rock-Paper-Scissors (RPS) game is a classic non-cooperative game widely studied in terms of its theoretical analysis as well as in its applications, ranging from sociology and biology to economics. In this work, we show that the attractor of the discrete time best-response dynamics of the RPS game is a finite union of periodic orbits. Moreover, we also describe the bifurcations of the attractor and determine the exact number, period and location of the periodic orbits.

Keywords: Best response dynamics; Bifurcations; Discretization; Fictitious play; Periodic orbits; Rock-paper-scissors game; 34A36; 91A22; 34A60; 39A28 (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13235-020-00371-y Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:dyngam:v:11:y:2021:i:3:d:10.1007_s13235-020-00371-y

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/13235

DOI: 10.1007/s13235-020-00371-y

Access Statistics for this article

Dynamic Games and Applications is currently edited by Georges Zaccour

More articles in Dynamic Games and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().