arXiv Open Access 2023

A Note on Invariant Extensions of Preorders

Peter Caradonna Christopher P. Chambers

Lihat Sumber

Abstrak

We consider the problem of extending an acyclic binary relation that is invariant under a given family of transformations into an invariant preference. We show that when a family of transformations is commutative, every acyclic invariant binary relation extends. We find that, in general, the set of extensions agree on the ranking of many pairs that (i) are unranked by the original relation, and (ii) cannot be ranked by invariance or transitivity considerations alone. We interpret these additional implications as the out-of-sample predictions generated by invariance, and study their structure.

Topik & Kata Kunci

econ.TH

Penulis (2)

Peter Caradonna

Christopher P. Chambers

Format Sitasi

APA MLA BibTeX

Caradonna, P., Chambers, C.P. (2023). A Note on Invariant Extensions of Preorders. https://arxiv.org/abs/2303.04522

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓