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Related papers: Selfish Mining under General Stochastic Rewards

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Bitcoin-NG is an extensible blockchain protocol based on the same trust model as Bitcoin. It divides each epoch into one Key-Block and multiple Micro-Blocks, effectively improving transaction processing capacity. Bitcoin-NG adopts a special…

Cryptography and Security · Computer Science 2023-06-07 Junjie Hu , Zhe Jiang , Chunxiang Xu

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

The arisen of Bitcoin has led to much enthusiasm for blockchain research and block mining, and the extensive existence of mining pools helps its participants (i.e., miners) gain reward more frequently. Recently, the mining pools are proved…

Computer Science and Game Theory · Computer Science 2020-08-18 Zhihuai Chen , Bo Li , Xiaohan Shan , Xiaoming Sun , Jialin Zhang

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

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

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

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

We study the strategic considerations of miners participating in the bitcoin's protocol. We formulate and study the stochastic game that underlies these strategic considerations. The miners collectively build a tree of blocks, and they are…

Computer Science and Game Theory · Computer Science 2016-07-11 Aggelos Kiayias , Elias Koutsoupias , Maria Kyropoulou , Yiannis Tselekounis

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

Most public blockchain protocols, including the popular Bitcoin and Ethereum blockchains, do not formally specify the order in which miners should select transactions from the pool of pending (or uncommitted) transactions for inclusion in…

Cryptography and Security · Computer Science 2021-10-25 Johnnatan Messias , Mohamed Alzayat , Balakrishnan Chandrasekaran , Krishna P. Gummadi , Patrick Loiseau , Alan Mislove

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

Proof-of-work blockchains reward each miner for one completed block by an amount that is, in expectation, proportional to the number of hashes the miner contributed to the mining of the block. Is this proportional allocation rule optimal?…

Computer Science and Game Theory · Computer Science 2019-09-25 Xi Chen , Christos Papadimitriou , Tim Roughgarden

We study the incentives behind double-spend attacks on Nakamoto-style Proof-of-Work cryptocurrencies. In these systems, miners are allowed to choose which transactions to reference with their block, and a common strategy for selecting…

Computer Science and Game Theory · Computer Science 2023-12-14 Yanni Georghiades , Rajesh Mishra , Karl Kreder , Sriram Vishwanath

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

Mining in proof-of-work blockchains has become an expensive affair requiring specialized hardware capable of executing several megahashes per second at huge electricity costs. Miners earn a reward each time they mine a block within the…

Networking and Internet Architecture · Computer Science 2023-08-30 Arti Vedula , Abhishek Gupta , Shaileshh Bojja Venkatakrishnan

Blockchain is a technology that provides a distributed ledger that stores previous records while maintaining consistency and security. Bitcoin is the first and largest decentralized electronic cryptographic system that uses blockchain…

Cryptography and Security · Computer Science 2021-11-05 Befekadu G. Gebraselase , Bjarne E. Helvik , Yuming Jiang

As the core technology behind Bitcoin, Blockchain's decentralized, tamper-proof, and traceable features make it the preferred platform for organizational innovation. In current Bitcoin, block reward is halved every four years, and…

Cryptography and Security · Computer Science 2022-02-22 Xiongfei Zhao , Yain-Whar Si

In a PoW-based blockchain network, mining pools (the solo miner could be regarded as a mining pool containing one miner) compete to successfully mine blocks to pursue rewards. Generally, the rewards include the fixed block subsidies and…

Computer Science and Game Theory · Computer Science 2021-10-20 Jinmian Chen , Yukun Cheng , Zhiqi Xu , Yan Cao

Bitcoin's security relies on its Proof-of-Work consensus, where miners solve puzzles to propose blocks. The puzzle's difficulty is set by the difficulty adjustment mechanism (DAM), based on the network's available mining power. Attacks that…

Cryptography and Security · Computer Science 2025-02-12 Roozbeh Sarenche , Svetla Nikova , Bart Preneel

Selfish mining is strategic rule-breaking to maximize rewards in proof-of-work protocols. Markov Decision Processes (MDPs) are the preferred tool for finding optimal strategies in Bitcoin and similar linear chain protocols. Protocols…

Cryptography and Security · Computer Science 2025-06-24 Patrik Keller