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Nakamoto double spend strategy, described in Bitcoin foundational article, leads to total ruin with positive probability and does not make sense from the profitability point of view. The simplest strategy that can be profitable incorporates…

Cryptography and Security · Computer Science 2021-02-24 Cyril Grunspan , Ricardo Pérez-Marco

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

An open distributed system can be secured by requiring participants to present proof of work and rewarding them for participation. The Bitcoin digital currency introduced this mechanism, which is adopted by almost all contemporary digital…

Cryptography and Security · Computer Science 2014-12-01 Ittay Eyal

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 the area of blockchain, numerous methods have been proposed for suppressing intentional forks by attackers more effectively than the random rule. However, all of them, except for the random rule, require major updates, rely on a trusted…

Cryptography and Security · Computer Science 2025-01-03 Akira Sakurai , Kazuyuki Shudo

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

Sybil resistance is a key requirement of decentralized consensus protocols. It is achieved by introducing a scarce resource (such as computational power, monetary stake, disk space, etc.), which prevents participants from costlessly…

Quantum Physics · Physics 2026-02-27 Dar Gilboa , Siddhartha Jain , Or Sattath

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

In this work, we present our early stage results on a Conflicts Check Protocol (CCP) that enables preventing potential attacks on bitcoin system. Based on the observation and discovery of a common symptom that many attacks may generate, CCP…

Cryptography and Security · Computer Science 2018-02-28 Chen Yang , Haohong Wang

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

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

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

We formulate the design of a threshold signature scheme as made possible on cryptocurrency protocols like Bitcoin. The funds are secured by an m-of-n threshold signature, where at least m signatures are needed to unlock the funds. A user…

Cryptography and Security · Computer Science 2025-10-01 Korok Ray , Sindura Saraswathi

The security of blockchain systems is fundamentally based on the decentralized consensus in which the majority of parties behave honestly, and the content verification process is essential to maintaining the robustness of blockchain…

Cryptography and Security · Computer Science 2025-08-21 Zishuo Zhao , Xi Chen , Yuan Zhou

While showing great promise, Bitcoin requires users to wait tens of minutes for transactions to commit, and even then, offering only probabilistic guarantees. This paper introduces ByzCoin, a novel Byzantine consensus protocol that…

Cryptography and Security · Computer Science 2016-08-02 Eleftherios Kokoris-Kogias , Philipp Jovanovic , Nicolas Gailly , Ismail Khoffi , Linus Gasser , Bryan Ford

Bitcoin is the most secure blockchain in the world, supported by the immense hash power of its Proof-of-Work miners, but consumes huge amount of energy. Proof-of-Stake chains are energy-efficient, have fast finality and accountability, but…

Cryptography and Security · Computer Science 2022-01-21 Ertem Nusret Tas , David Tse , Fisher Yu , Sreeram Kannan

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

In the Bitcoin system, participants are rewarded for solving cryptographic puzzles. In order to receive more consistent rewards over time, some participants organize mining pools and split the rewards from the pool in proportion to each…

Cryptography and Security · Computer Science 2023-09-14 Yujin Kwon , Dohyun Kim , Yunmok Son , Eugene Vasserman , Yongdae Kim

Throughput limitations of existing blockchain architectures are one of the most significant hurdles for their wide-spread adoption. Attempts to address this challenge include layer-2 solutions, such as Bitcoin's Lightning or Ethereum's…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-13 Alexander Hentschel , Dieter Shirley , Layne Lafrance

Currently there exist many blockchains with weak trust guarantees, limiting applications and participation. Existing solutions to boost the trust using a stronger blockchain, e.g., via checkpointing, requires the weaker blockchain to give…

Cryptography and Security · Computer Science 2023-09-22 Peiyao Sheng , Xuechao Wang , Sreeram Kannan , Kartik Nayak , Pramod Viswanath