arXiv Open Access 2025

A robust measure of complexity

Egor Bronnikov Elias Tsakas
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Abstrak

We introduce a robust belief-based measure of complexity. The idea is that task A is deemed more complex than task B if the probability of solving A correctly is smaller than the probability of solving B correctly regardless of the reward. We fully characterize the corresponding order over the set of tasks. The main characteristic of this relation is that it depends, not only on difficulty (like most complexity definitions in the literature) but also on ex ante uncertainty. Finally, we show that for every task for which information is optimally acquired, there exists a more complex task which always induces less effort regardless of the reward.

Topik & Kata Kunci

Penulis (2)

E

Egor Bronnikov

E

Elias Tsakas

Format Sitasi

Bronnikov, E., Tsakas, E. (2025). A robust measure of complexity. https://arxiv.org/abs/2501.09139

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2025
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓