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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

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

Bitcoin-NG, a scalable blockchain protocol, divides each block into a key block and many micro blocks to effectively improve the transaction processing capacity. Bitcoin-NG has a special incentive mechanism (i.e. splitting transaction fees…

Cryptography and Security · Computer Science 2020-06-23 Taotao Wang , Xiaoqian Bai , Hao Wang , Soung Chang Liew , Shengli Zhang

Numerous blockchain applications are designed with tasks that naturally have finite durations, and hence, a double-spending attack (DSA) on such blockchain applications leans towards being conducted within a finite timeframe, specifically…

Cryptography and Security · Computer Science 2024-02-28 Yiming Jiang , Jiangfan Zhang

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

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

In the context of the `selfish-mine' strategy proposed by Eyal and Sirer, we study the effect of propagation delay on the evolution of the Bitcoin blockchain. First, we use a simplified Markov model that tracks the contrasting states of…

Cryptography and Security · Computer Science 2015-05-22 Johannes Göbel , Paul Keeler , Anthony E. Krzesinski , Peter G. Taylor

Recently, blockchain has been applied in various fields to secure data exchanges and storage in decentralized systems. In a blockchain application where the task of the application which makes use of the data stored in a blockchain has to…

Cryptography and Security · Computer Science 2023-04-21 Yiming Jiang , Jiangfan Zhang

Bitcoin transactions include unspent transaction outputs (UTXOs) as their inputs and generate one or more newly owned UTXOs at specified addresses. Each UTXO can only be used as an input in a transaction once, and using it in two or more…

Cryptography and Security · Computer Science 2023-08-22 Changhoon Kang , Jongsoo Woo , James Won-Ki Hong

Understanding the strategic behavior of miners in a blockchain is of great importance for its proper operation. A common model for mining games considers an infinite time horizon, with players optimizing asymptotic average objectives.…

Computer Science and Game Theory · Computer Science 2021-07-21 Alejandro Jofré , Angel Pardo , David Salas , Victor Verdugo , José Verschae

Blockchain denial of service (BDoS) and selfish mining are the two most crucial attacks on blockchain technology. A classical DoS attack targets the computer network to limit, restrict, or stop accessing the system of authorized users which…

Cryptography and Security · Computer Science 2023-10-31 Md. Ahsan Habib , Md. Motaleb Hossen Manik

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 is a popular digital currency for online payments, realized as a decentralized peer-to-peer electronic cash system. Bitcoin keeps a ledger of all transactions; the majority of the participants decides on the correct ledger. Since…

Logic in Computer Science · Computer Science 2015-11-16 Kaylash Chaudhary , Ansgar Fehnker , Jaco van de Pol , Marielle Stoelinga

We correct the double spend race analysis given in Nakamoto's foundational Bitcoin article and give a closed-form formula for the probability of success of a double spend attack using the Regularized Incomplete Beta Function. We give a…

Cryptography and Security · Computer Science 2020-05-07 Cyril Grunspan , Ricardo Pérez-Marco

The fundamental attack against blockchain systems is the double-spend attack. In this tutorial, we provide a very detailed explanation of just one section of Satoshi Nakamoto's original paper where the attack's probability of success is…

Cryptography and Security · Computer Science 2017-01-17 A. Pinar Ozisik , Brian Neil Levine

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

Recently, several works conjectured the vulnerabilities of mainstream blockchains under several network attacks. All these attacks translate into showing that the assumptions of these blockchains can be violated in theory or under…

Cryptography and Security · Computer Science 2018-05-15 Parinya Ekparinya , Vincent Gramoli , Guillaume Jourjon

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

We identify a subtle security issue that impacts the design of smart contracts, because agents may themselves deploy smart contracts (side contracts). Typically, equilibria of games are analyzed in vitro, under the assumption that players…

Computer Science and Game Theory · Computer Science 2023-05-05 Daji Landis , Nikolaj I. Schwartzbach

We compute and compare profitabilities of stubborn mining strategies that are variations of selfish mining. These are deviant mining strategies violating Bitcoin's network protocol rules. We apply the foundational set-up from our previous…

Cryptography and Security · Computer Science 2018-08-06 Cyril Grunspan , Ricardo Pérez-Marco