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Related papers: On Profitability of Nakamoto double spend

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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

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

Theoretical guarantees for double spending probabilities for the Nakamoto consensus under the $k$-deep confirmation rule have been extensively studied for zero/bounded network delays and fixed mining rates. In this paper, we introduce a…

Cryptography and Security · Computer Science 2025-04-30 Mustafa Doger , Sennur Ulukus , Nail Akar

Our aim in this paper is to investigate the profitability of double-spending (DS) attacks that manipulate an a priori mined transaction in a blockchain. It was well understood that a successful DS attack is established when the proportion…

Cryptography and Security · Computer Science 2020-10-15 Jehyuk Jang , Heung-No Lee

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

In 2008, Satoshi Nakamoto proposed an electronic cash system (bitcoin) that is completely realized by peer-to-peer technology. The core value of this scheme is that it proposes a solution based on Proof-of Work, so that the cash system can…

Cryptography and Security · Computer Science 2018-11-19 Zhiniang Peng , Yuki Chen

Nakamoto consensus underlies the security of many of the world's largest cryptocurrencies, such as Bitcoin and Ethereum. Common lore is that Nakamoto consensus only achieves consistency and liveness under a regime where the difficulty of…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-24 Lili Su , Quanquan C. Liu , Neha Narula

We calculate the probability of success of block-hiding mining strategies in Bitcoin-like networks. These strategies involve building a secret branch of the block-tree and publishing it opportunistically, aiming to replace the top of the…

Cryptography and Security · Computer Science 2014-02-19 Assaf Shomer

Simple closed-form upper and lower bounds are developed for the security of the Nakamoto consensus as a function of the confirmation depth, the honest and adversarial block mining rates, and an upper bound on the block propagation delay.…

Cryptography and Security · Computer Science 2022-08-30 Dongning Guo , Ling Ren

We revisit the fundamental question of Bitcoin's security against double spending attacks. While previous work has bounded the probability that a transaction is reversed, we show that no such guarantee can be effectively given if the…

Cryptography and Security · Computer Science 2016-06-01 Yonatan Sompolinsky , Aviv Zohar

In the Bitcoin white paper, Nakamoto proposed a very simple Byzantine fault tolerant consensus algorithm that is also known as Nakamoto consensus. Despite its simplicity, some existing analysis of Nakamoto consensus appears to be long and…

Cryptography and Security · Computer Science 2019-10-22 Jianyu Niu , Chen Feng , Hoang Dau , Yu-Chih Huang , Jingge Zhu

We describe and analyze perishing mining, a novel block-withholding mining strategy that lures profit-driven miners away from doing useful work on the public chain by releasing block headers from a privately maintained chain. We then…

Cryptography and Security · Computer Science 2023-02-10 Tong Cao , Jérémie Decouchant , Jiangshan Yu

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

We present Bitcoin Security Tables computing the probability of success p(z,q,t) of a double spend attack by an attacker controlling a share q of the hashrate after z confirmations in time t.

Cryptography and Security · Computer Science 2017-02-20 Cyril Grunspan , Ricardo Pérez-Marco

We compute the revenue ratio of the Trail Stubborn mining strategy in the Bitcoin network and compare its profitability to other block-withholding strategies. We use for this martingale techniques and a classical analysis of the hiker…

Cryptography and Security · Computer Science 2018-11-26 Cyril Grunspan , Ricardo Pérez-Marco

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

Extensive research on Nakamoto-style consensus protocols has shown that network delays degrade the security of these protocols. Established results indicate that, perhaps surprisingly, maximal security is achieved when the network is as…

Cryptography and Security · Computer Science 2024-04-16 Jannik Albrecht , Sebastien Andreina , Frederik Armknecht , Ghassan Karame , Giorgia Marson , Julian Willingmann

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

Many blockchain-based algorithms, such as Bitcoin, implement a decentralized asset transfer system, often referred to as a cryptocurrency. As stated in the original paper by Nakamoto, at the heart of these systems lies the problem of…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-14 Rachid Guerraoui , Petr Kuznetsov , Matteo Monti , Matej Pavlovic , Dragos-Adrian Seredinschi
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