The Journal of Economic Science Association, a companion journal to Experimental Economics is one outlet devoted to publishing, among other article types, replication of experiments.
As said on the website of the Economic Science Association:
The Journal of the Economic Science Association is dedicated to
advancing theoretical, empirical, methodological and policy-relevant
knowledge using experimental economic methods. JESA promotes research
pioneering and advancing laboratory and field methods to address
important economic questions that are difficult to examine using
naturally occurring data. JESA is open to all areas of inquiry in
economics and at the intersection of economics and other disciplines
including but not limited to psychology, political science,
statistics, finance, marketing, and organizational behavior.
JESA will
focus on publishing shorter papers (original articles, methodological
pieces, surveys, comments on recently published experimental papers),
and article types that are important yet under-represented in the
experimental literature (i.e., replications, minor extensions,
robustness checks, meta-analyses, and good experimental designs even
if obtaining null results). JESA will periodically publish special
issues with themes of particular interest for economics experiments,
including articles solicited from leading scholars both within and
outside of experimental economics.
JESA advances experimental
economics by bringing together innovative research that meets
professional standards of experimental method, but without editorial
bias towards specific orientations. All papers will be reviewed
through the standard, anonymous-referee procedure and all accepted
manuscripts will be subject to the approval of both editors. Authors
are expected to submit separate data and instruction appendices which
will be attached to the journal's web page upon publication.
The
journal is published under the auspices of the Economic Science
Association, a professional organization devoted to using controlled
experiments to learn about economic behavior. JESA is a companion
journal to Experimental Economics which will publish longer original
articles (excluding meta-analyses), together with longer surveys and
methodologies.