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In this paper we describe the various scoring systems used to calculate rewards of participants in Bitcoin pooled mining, explain the problems each were designed to solve and analyze their respective advantages and disadvantages.

Distributed, Parallel, and Cluster Computing · Computer Science 2011-12-22 Meni Rosenfeld

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

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 computation contests where players compete for searching a solution to a given problem with a winner-take-all reward. The search processes are independent across the players and the search speeds of players are proportional to…

Computer Science and Game Theory · Computer Science 2019-02-26 Yulong Zeng , Song Zuo

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

We consider a security game in a setting consisting of two players (an attacker and a defender), each with a given budget to allocate towards attack and defense, respectively, of a set of nodes. Each node has a certain value to the attacker…

Systems and Control · Electrical Eng. & Systems 2021-03-08 Mustafa Abdallah , Timothy Cason , Saurabh Bagchi , Shreyas Sundaram

To participate in the distributed consensus of permissionless blockchains, prospective nodes -- or miners -- provide proof of designated, costly resources. However, in contrast to the intended decentralization, current data on blockchain…

Computer Science and Game Theory · Computer Science 2021-07-20 Nikos Leonardos , Stefanos Leonardos , Georgios Piliouras

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

Blockchain systems, such as Ethereum, are increasingly adopting layer-2 scaling solutions to improve transaction throughput and reduce fees. One popular layer-2 approach is the Optimistic Rollup, which relies on a mechanism known as a…

Computer Science and Game Theory · Computer Science 2025-04-08 Suhyeon Lee

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

Blockchains rely on economic incentives to ensure secure and decentralised operation, making incentive compatibility a core design concern. However, protocols are rarely deployed in isolation. Applications interact with the underlying…

Computer Science and Game Theory · Computer Science 2026-04-08 Zeta Avarikioti , Georg Fuchsbauer , Pim Keer , Matteo Maffei , Fabian Regen

In this paper, we provide a new theoretical framework of pyramid Markov processes to solve some open and fundamental problems of blockchain selfish mining under a rigorous mathematical setting. We first describe a more general model of…

Cryptography and Security · Computer Science 2021-09-14 Quan-Lin Li , Yan-Xia Chang , Xiaole Wu , Guoqing Zhang

Announcement games, where information is disseminated by announcers and challenged by validators, are prevalent in real-world scenarios. Validators take effort to verify the validity of the announcements, gaining rewards for successfully…

Computer Science and Game Theory · Computer Science 2024-08-01 Siyuan Liu , Yulong Zeng

Blockchain is a distributed ledger, which is protected against malicious modifications by means of cryptographic tools, e.g. digital signatures and hash functions. One of the most prominent applications of blockchains is cryptocurrencies,…

Cryptography and Security · Computer Science 2019-12-20 E. O. Kiktenko , M. A. Kudinov , A. K. Fedorov

Privacy was one of the key points mentioned in Nakamoto's Bitcoin whitepaper, and one of the selling points of Bitcoin in its early stages. In hindsight, however, de-anonymising Bitcoin users turned out to be more feasible than expected.…

Cryptography and Security · Computer Science 2019-01-14 Sarah Azouvi , Haaroon Yousaf , Alexander Hicks

Smart contract-enabled blockchains allow building decentralized applications in which mutually-distrusted parties can work together. Recently, oracle services emerged to provide these applications with real-world data feeds. Unfortunately,…

Computer Science and Game Theory · Computer Science 2021-12-24 Z. Motaqy , G. Almashaqbeh , B. Bahrak , N. Yazdani

Despite the popularity of Hashed Time-Locked Contracts (HTLCs) because of their use in wide areas of applications such as payment channels, atomic swaps, etc, their use in exchange is still questionable. This is because of its incentive…

Cryptography and Security · Computer Science 2025-10-24 Nitin Awathare

Given the large adoption and economical impact of permissionless blockchains, the complexity of the underlying systems and the adversarial environment in which they operate, it is fundamental to properly study and understand the emergent…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-22 Paulo Silva , David Vavřička , João Barreto , Miguel Matos

This position paper presents a synthesis viewpoint of blockchains from two orthogonal perspectives: fault-tolerant distributed systems and game theory. Specifically, we formulate a new game-theoretical problem in the context of blockchains…

Artificial Intelligence · Computer Science 2019-12-23 Dongfang Zhao

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