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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

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

We review the so called selfish mining strategy in the Bitcoin network and compare its profitability to honest mining.We build a rigorous profitability model for repetition games. The time analysis of the attack has been ignored in the…

Computer Science and Game Theory · Computer Science 2019-01-23 Cyril Grunspan , Ricardo Pérez-Marco

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

Selfish mining is a well known vulnerability in blockchains exploited by miners to steal block rewards. In this paper, we explore a new form of selfish mining attack that guarantees high rewards with low cost. We show the feasibility of…

Cryptography and Security · Computer Science 2018-12-18 Muhammad Saad , Laurent Njilla , Charles Kamhoua , Aziz Mohaisen

Conventional double-spending attack models ignore the revenue losses stemming from the orphan blocks. On the other hand, selfish mining literature usually ignores the chance of the attacker to double-spend at no-cost in each attack cycle.…

Cryptography and Security · Computer Science 2026-03-23 Mustafa Doger , Sennur Ulukus

This paper studies a fundamental problem regarding the security of blockchain on how the existence of multiple misbehaving pools influences the profitability of selfish mining. Each selfish miner maintains a private chain and makes it…

Cryptography and Security · Computer Science 2018-11-21 Qianlan Bai , Xinyan Zhou , Xing Wang , Yuedong Xu , Xin Wang , Qingsheng Kong

Mining attacks aim to gain an unfair share of extra rewards in the blockchain mining. Selfish mining can preserve discovered blocks and strategically release them, wasting honest miners' computing resources and getting higher profits.…

Cryptography and Security · Computer Science 2024-04-09 Jiaping Yu , Shang Gao , Rui Song , Zhiping Cai , Bin Xiao

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

We study selfish mining in Ethereum. The problem is combinatorially more complex than in Bitcoin because of major differences in the reward system and a different difficulty adjustment formula. Equivalent strategies in Bitcoin do have…

Cryptography and Security · Computer Science 2019-05-01 Cyril Grunspan , Ricardo Pérez-Marco

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 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

Eyal and Sirer's selfish mining strategy has demonstrated that Bitcoin system is not secure even if 50% of total mining power is held by altruistic miners. Since then, researchers have been investigating either to improve the efficiency of…

Multiagent Systems · Computer Science 2018-02-08 Tin Leelavimolsilp , Long Tran-Thanh , Sebastian Stein

The main goal of this article is to present a direct approach for the formula giving the long-term apparent hashrates of Selfish Mining strategies using only elementary probabilities and combinatorics, more precisely, Dyck words. We can…

Cryptography and Security · Computer Science 2019-04-17 Cyril Grunspan , Ricardo Pérez-Marco

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

The consensus protocol named proof of work (PoW) is widely applied by cryptocurrencies like Bitcoin. Although security of a PoW cryptocurrency is always the top priority, it is threatened by mining attacks like selfish mining. Researchers…

Cryptography and Security · Computer Science 2019-07-09 Hanqing Liu , Na Ruan , Joseph K. Liu

Selfish Mining is strategic rule-breaking to maximize rewards in proof-of-work protocols [3] and Markov Decision Processes (MDPs) are the preferred tool for finding optimal strategies in Bitcoin [4, 10] and similar linear chain protocols…

Cryptography and Security · Computer Science 2024-05-01 Patrik Keller

The selfish mining attack, arguably the most famous game-theoretic attack in blockchain, indicates that the Bitcoin protocol is not incentive-compatible. Most subsequent works mainly focus on strengthening the selfish mining strategy, thus…

Computer Science and Game Theory · Computer Science 2022-02-21 Mengqian Zhang , Yuhao Li , Jichen Li , Chaozhe Kong , Xiaotie Deng

We give a straightforward proof for the formula giving the long-term apparent hashrate of the Selfish Mining strategy in Bitcoin using only elementary probabilities and combinatorics, and more precisely, Dyck words. There is no need to…

Cryptography and Security · Computer Science 2019-02-06 Cyril Grunspan , Ricardo Pérez-Marco

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
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