Paper 2026/578

How Much Verifier's Dilemma and Staking Pools Adversely Affect Decentralization of Ethereum PoS under Realistic Operational Costs? (Extended Version)

Ivan Homoliak, Brno University of Technology
Martin Hruby, Brno University of Technology
Martin Peresini, Brno University of Technology
Kristian Kostal, Slovak University of Technology in Bratislava
Daria Smuseva, Ca' Foscari University of Venice
Abstract

Some consensus protocols, including Proof-of-Work (PoW) and Proof-of-Stake (PoS) designs of Ethereum, contain incentive misalignment because the protocol cannot technically verify whether a block producer or validator has executed (or omitted) validation of transaction correctness before producing a block or issuing an attestation. The incentive to omit validation stems from the risk of losing a fraction of the reward due to a late attestation in PoS, or the risk of missing timely block production (and thus its inclusion) in PoW. This problem is referred to as the Verifier’s Dilemma (VD), and it has been investigated in prior work in the context of PoW, as well as in hybrid PoW and PoS settings of Ethereum. In this work, we focus on Ethereum PoS, and we investigate how rational, minimally compliant validators affect long-term network decentralization due to VD and operational costs. Using evolutionary game theory and the replicator equation, we model competition among three validator phenotypes: the honest strategy, the lazy strategy, and the join pool strategy. While the honest strategy, which performs validation, requires the operational cost of expensive hardware to run a full validator node, which is currently about 20% of rewards earned, the lazy strategy, which omits validation (based on VD), enables operation of a reduced validator node at five times lower expense, which is currently about 4% of rewards earned. Moreover, the join pool strategy enables amortization of operational costs among pool members and can incorporate the lazy strategy to further reduce costs. We analyze the profits of these strategies co-occurring under varying late attestation rates and operational cost levels using our slot-level simulator. Our findings demonstrate that the lazy strategy consistently outperforms the honest strategy in earned profits. Our next experiments reveal that the join pool strategy, combined with a variant of the lazy strategy, forms an evolutionarily stable equilibrium that rapidly collapses the validator population into a single shared pool. These results suggest that Ethereum decentralization can erode through rational economic drift even in the absence of late attestations.

Metadata
Available format(s)
PDF
Category
Attacks and cryptanalysis
Publication info
Preprint.
Keywords
Verifier’s Dilemmaevolutionary game theoryreplicator dynamicsstaking economics
Contact author(s)
homoliak @ fit vutbr cz
hrubym @ fit vut cz
iperesini @ fit vut cz
kristian kostal @ stuba sk
daria smuseva @ unive it
History
2026-03-24: approved
2026-03-23: received
See all versions
Short URL
https://ia.cr/2026/578
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2026/578,
      author = {Ivan Homoliak and Martin Hruby and Martin Peresini and Kristian Kostal and Daria Smuseva},
      title = {How Much Verifier's Dilemma and Staking Pools Adversely Affect Decentralization of Ethereum {PoS} under Realistic Operational Costs? (Extended Version)},
      howpublished = {Cryptology {ePrint} Archive, Paper 2026/578},
      year = {2026},
      url = {https://eprint.iacr.org/2026/578}
}
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