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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

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

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 Bitcoin protocol prescribes certain behavior by the miners who are responsible for maintaining and extending the underlying blockchain; in particular, miners who successfully solve a puzzle, and hence can extend the chain by a block,…

Computer Science and Game Theory · Computer Science 2019-06-12 Francisco J. Marmolejo-Cossío , Eric Brigham , Benjamin Sela , Jonathan Katz

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

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

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

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

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

Bitcoin is a "crypto currency", a decentralized electronic payment scheme based on cryptography which has recently gained excessive popularity. Scientific research on bitcoin is less abundant. A paper at Financial Cryptography 2012…

Cryptography and Security · Computer Science 2014-04-11 Nicolas T. Courtois , Marek Grajek , Rahul Naik

Bitcoin is a peer-to-peer payment system proposed by Nakamoto in 2008. Based on the Nakamoto consensus, Bagaria, Kannan, Tse, Fanti, and Viswanath proposed the Prism protocol in 2018 and showed that it achieves near-optimal blockchain…

Cryptography and Security · Computer Science 2020-04-27 Jing Li , Dongning Guo

The Bitcoin cryptocurrency records its transactions in a public log called the blockchain. Its security rests critically on the distributed protocol that maintains the blockchain, run by participants called miners. Conventional wisdom…

Cryptography and Security · Computer Science 2013-11-18 Ittay Eyal , Emin Gun Sirer

Mining processes of Bitcoin and similar cryptocurrencies are currently incentivized with voluntary transaction fees and fixed block rewards which will halve gradually to zero. In the setting where optional and arbitrary transaction fee…

Cryptography and Security · Computer Science 2022-07-14 Tiantian Gong , Mohsen Minaei , Wenhai Sun , Aniket Kate

In a Proof-of-Work blockchain such as Bitcoin mining hashrate is increasing in the block reward. An increase in hashrate reduces network vulnerability to attack (a reduction in security cost) while increasing carbon emissions and…

Cryptography and Security · Computer Science 2025-08-25 Daniel Aronoff

Although Bitcoin was intended to be a decentralized digital currency, in practice, mining power is quite concentrated. This fact is a persistent source of concern for the Bitcoin community. We provide an explanation using a simple model to…

Cryptography and Security · Computer Science 2018-11-22 Nick Arnosti , S. Matthew Weinberg

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

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

The Bitcoin cryptocurrency has received much attention recently. In the network of Bitcoin, transactions are recorded in a ledger. In this network, the process of recording transactions depends on some nodes called miners that execute a…

Cryptography and Security · Computer Science 2023-02-15 Ali Nikhalat-Jahromi , Ali Mohammad Saghiri , Mohammad Reza Meybodi

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
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