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Review of Economic Studies Vol. 81 No. 1 2014

Cycles and Instability in a Rock-Paper-Scissors Population Game: A Continuous Time Experiment

Timothy N. Cason1; Daniel Friedman2; Ed Hopkins3

1 Purdue University West Lafayette · 2 University of California, Santa Cruz · 3 University of Edinburgh

open access

Abstract

We report laboratory experiments that use new, visually oriented software to explore the dynamics of 3×3 games with intransitive best responses. Each moment, each player is matched against the entire population, here 8 human subjects. A “heat map” offers instantaneous feedback on current profit opportunities. In the continuous slow adjustment treatment, we see distinct cycles in the population mix. The cycle amplitude, frequency and direction are consistent with the standard learning models. Cycles are more erratic and higher frequency in the instantaneous adjustment treatment. Control treatments (using simultaneous matching in discrete time) replicate previous results that exhibit weak or no cycles. Average play is approximated fairly well by Nash equilibrium, and an alternative point prediction, “TASP” (Time Average of the Shapley Polygon), captures some regularities that Nash equilibrium misses.

DOI
10.1093/restud/rdt023
Volume
81
Issue
1
Pages
112-136
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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