# PoW, PoS, & Hybrid protocols: A Matter of Complexity?

arXiv: https://arxiv.org/abs/1805.08674 · HTML: https://mlsanity.com/paper/1805.08674/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 13 May 2018.

## Built on by (most cited first, 1 of 1)

- [Digital Twins for Dynamic Management of Blockchain Systems](https://mlsanity.com/paper/2204.12477/) (2022)

## Abstract (arXiv)

In a previous paper, it was discussed whether Bitcoin and/or its blockchain could be considered a complex system and, if so, whether a chaotic one, a positive response raising concerns about the likelihood of Bitcoin/blockchain entering a chaotic regime, with catastrophic consequences for financial systems based on it. This paper intends to simplify and extend that analysis to other PoW, PoS, and hybrid protocol-based cryptocurrencies. As before, this study was carried out with the help of Information Theory of Complex Systems, in general, and Crutchfield's Statistical Complexity measure, in particular. This paper is a work-in-progress. We intend to uncover some other measures that capture the qualitative notion of complexity of systems that can be applied to these cryptocurrencies to compare with the results here obtained.