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Related papers: Insightful Mining Equilibria

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This paper studies a fundamental problem regarding the security of blockchain PoW consensus on how the existence of multiple misbehaving miners influences the profitability of selfish mining. Each selfish miner (or attacker interchangeably)…

Cryptography and Security · Computer Science 2023-04-04 Qianlan Bai , Yuedong Xu , Nianyi Liu , Xin Wang

In 2015, Eyal proposed the first game-theoretical model for analyzing the equilibrium of blockchain pooling: when the blockchain pools are abstracted as a non-cooperative game, two pools can reach a Nash equilibrium with a closed-form…

Cryptography and Security · Computer Science 2020-05-06 Dongfang Zhao

Seminal work of Eyal and Sirer (2014) establishes that a strategic Bitcoin miner may strictly profit by deviating from the intended Bitcoin protocol, using a strategy now termed *selfish mining*. More specifically, any miner with $>1/3$ of…

Computer Science and Game Theory · Computer Science 2024-02-06 Maryam Bahrani , S. Matthew Weinberg

Selfish mining, which is an attack on the integrity of the Bitcoin network, was first proposed by Cornell researchers Emin Gun Sirer and Ittay Eyal in 2013. Selfish mining attack also exists in most Nakamoto consensus protocols. Generally…

Networking and Internet Architecture · Computer Science 2018-09-18 Rui Tian , Wei Gong

The value of proof-of-work cryptocurrencies critically depends on miners having incentives to follow the protocol. However, the Bitcoin mining protocol proposed by Nakamoto (2008) and implemented in practice is well known not to constitute…

Cryptography and Security · Computer Science 2026-04-08 Manuel Mueller-Frank , Minghao Pan , Omer Tamuz

Bitcoin is a decentralized crypto-currency, and an accompanying protocol, created in 2008. Bitcoin nodes continuously generate and propagate blocks---collections of newly approved transactions that are added to Bitcoin's ledger. Block…

Cryptography and Security · Computer Science 2015-07-24 Ayelet Sapirshtein , Yonatan Sompolinsky , Aviv Zohar

As the second largest cryptocurrency by market capitalization and today's biggest decentralized platform that runs smart contracts, Ethereum has received much attention from both industry and academia. Nevertheless, there exist very few…

Cryptography and Security · Computer Science 2021-07-13 Jianyu Niu , Chen Feng

We analyze Bitcoin mining from the perspective of a game and propose an optimal mining model that maximizes profits of pools and miners. The model is a two-stage Stackelberg game in which each stage forms a sub-game. In stage I, pools are…

Computer Science and Game Theory · Computer Science 2021-07-22 David Lajeunesse , Hugo D. Scolnik

Mining attacks allow adversaries to obtain a disproportionate share of the mining reward by deviating from the honest mining strategy in the Bitcoin system. Among them, the most well-known are selfish mining (SM), block withholding (BWH),…

Computer Science and Game Theory · Computer Science 2023-05-15 Junjie Hu , Chunxiang Xu , Zhe Jiang , Jiwu Cao

Several attacks have been proposed against Proof-of-Work blockchains, which may increase the attacker's share of mining rewards (e.g., selfish mining, block withholding). A further impact of such attacks, which has not been considered in…

Cryptography and Security · Computer Science 2021-03-16 Yoko Shibuya , Go Yamamoto , Fuhito Kojima , Elaine Shi , Shin'ichiro Matsuo , Aron Laszka

Bitcoin and Ethereum are the top two blockchain-based cryptocurrencies whether from cryptocurrency market cap or popularity. However, they are vulnerable to selfish mining and stubborn mining due to that both of them adopt Proof-of-Work…

Cryptography and Security · Computer Science 2021-12-07 Runkai Yang , Xiaolin Chang , Jelena Mišić , Vojislav B. Mišić

Mining blocks on a blockchain equipped with a proof of work consensus protocol is well-known to be resource-consuming. A miner bears the operational cost, mainly electricity consumption and IT gear, of mining, and is compensated by a…

Cryptography and Security · Computer Science 2020-10-27 Hansjoerg Albrecher , Pierre-Olivier Goffard

Miners play a key role in cryptocurrencies such as Bitcoin: they invest substantial computational resources in processing transactions and minting new currency units. It is well known that an attacker controlling more than half of the…

Cryptography and Security · Computer Science 2019-05-16 Matteo Romiti , Aljosha Judmayer , Alexei Zamyatin , Bernhard Haslhofer

We study selfish mining attacks in longest-chain blockchains like Bitcoin, but where the proof of work is replaced with efficient proof systems -- like proofs of stake or proofs of space -- and consider the problem of computing an optimal…

Cryptography and Security · Computer Science 2024-05-09 Krishnendu Chatterjee , Amirali Ebrahimzadeh , Mehrdad Karrabi , Krzysztof Pietrzak , Michelle Yeo , Đorđe Žikelić

Selfish miners selectively withhold blocks to earn disproportionately high revenue. The vast majority of the selfish mining literature focuses exclusively on block rewards. Carlsten et al. [2016] is a notable exception, observing that…

Computer Science and Game Theory · Computer Science 2025-08-11 Maryam Bahrani , Michael Neuder , S. Matthew Weinberg

In most popular public accessible cryptocurrency systems, the mining pool plays a key role because mining cryptocurrency with the mining pool turns the non-profitable situation into profitable for individual miners. In many recent novel…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-16 Boyang Li , Qing Lu , Weiwen Jiang , Taeho Jung , Yiyu Shi

It has been known for some time that the Nakamoto consensus as implemented in the Bitcoin protocol is not totally aligned with the individual interests of the participants. More precisely, it has been shown that block withholding mining…

Cryptography and Security · Computer Science 2025-02-07 Cyril Grunspan , Ricardo Perez-Marco

The aim of this work is to enhance blockchain security by deepening the understanding of selfish mining attacks in various consensus protocols, especially the ones that have the potential to mitigate selfish mining. Previous research was…

Cryptography and Security · Computer Science 2026-01-07 Martin Perešíni , Tomáš Hladký , Jakub Kubík , Ivan Homoliak

Blockchain protocols incentivize participation through monetary rewards, assuming rational actors behave honestly to maximize their gains. However, attackers may attempt to harm others even at personal cost. These denial of profit attacks…

Computer Science and Game Theory · Computer Science 2025-06-02 Arian Baloochestani , Leander Jehl

Bitcoin is a "crypto currency", a decentralized electronic payment scheme based on cryptography. Bitcoin economy grows at an incredibly fast rate and is now worth some 10 billions of dollars. Bitcoin mining is an activity which consists of…

Cryptography and Security · Computer Science 2014-12-03 Nicolas T. Courtois , Lear Bahack