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We propose a mean field game model to study the question of how centralization of reward and computational power occur in Bitcoin-like cryptocurrencies. Miners compete against each other for mining rewards by increasing their computational…

Optimization and Control · Mathematics 2022-01-25 Zongxi Li , A. Max Reppen , Ronnie Sircar

It is an important decision-making problem for a miner in the blockchain networks if he/she participates in the mining so that he/she earns a reward by creating a new block earlier than other miners. We formulate this decision-making…

Computer Science and Game Theory · Computer Science 2020-12-15 Kosuke Toda , Naomi Kuze , Toshimitsu Ushio

Blockchain technology has evolved through many changes and modifications, such as smart-contracts since its inception in 2008. The popularity of a blockchain system is due to the fact that it offers a significant security advantage over…

Blockchain technology has developed significantly over the last decade. One of the reasons for this is its sustainability architecture, which does not allow modification of the history of committed transactions. That means that developers…

Logic in Computer Science · Computer Science 2021-09-08 Ivan Fedotov , Anton Khritankov

The pool-hopping attack casts down the expected profits of both the mining pool and honest miners in Blockchain. The mainstream countermeasures, namely PPS (pay-per-share) and PPLNS (pay-per-last-N-share), can hedge pool hopping, but pose a…

Computer Science and Game Theory · Computer Science 2019-12-30 Hongwei Shi , Shengling Wang , Qin Hu , Xiuzhen Cheng , Junshan Zhang , Jiguo Yu

The resource-consuming mining of blocks on a blockchain equipped with a proof of work consensus protocol bears the risk of ruin, namely when the operational costs for the mining exceed the received rewards. In this paper we investigate to…

Cryptography and Security · Computer Science 2021-09-08 Hansjoerg Albrecher , Dina Finger , Pierre-Olivier Goffard

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

Quantum algorithms can break factoring and discrete logarithm based cryptography and weaken symmetric cryptography and hash functions. In order to estimate the real-world impact of these attacks, apart from tracking the development of…

Quantum Physics · Physics 2019-02-11 Vlad Gheorghiu , Michele Mosca

Selfish Mining is strategic rule-breaking to maximize rewards in proof-of-work protocols [3] and Markov Decision Processes (MDPs) are the preferred tool for finding optimal strategies in Bitcoin [4, 10] and similar linear chain protocols…

Cryptography and Security · Computer Science 2024-05-01 Patrik Keller

We present three very simple variants of the classic Heads or Tails game using chips, each of which contributes to our understanding of the Bitcoin protocol. The first variant addresses the issue of temporary Bitcoin forks, which occur when…

Cryptography and Security · Computer Science 2024-05-08 Cyril Grunspan , Ricardo Perez-Marco

The widespread adoption of blockchain technology has amplified the spectrum of potential threats to its integrity and security. The ongoing quest to exploit vulnerabilities emphasizes how critical it is to expand on current research…

Cryptography and Security · Computer Science 2024-04-30 Kaustubh Dwivedi , Ankit Agrawal , Ashutosh Bhatia , Kamlesh Tiwari

With the onset of the Information Era and the rapid growth of information technology, ample space for processing and extracting data has opened up. However, privacy concerns may stifle expansion throughout this area. The challenge of…

Cryptography and Security · Computer Science 2023-04-24 Dhinakaran D , Joe Prathap P. M , Selvaraj D , Arul Kumar D , Murugeshwari B

In an age where sustainability is of paramount importance, the significance of both high-performance computing and intelligent algorithms cannot be understated. Yet, these domains often demand hefty computational power, translating to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-01 Murat Yaslioglu

Sharding, i.e. splitting the miners or validators to form and run several subchains in parallel, is known as one of the main solutions to the scalability problem of blockchains. The drawback is that as the number of miners expanding each…

Cryptography and Security · Computer Science 2021-08-23 Nastaran Abadi Khooshemehr , Mohammad Ali Maddah-Ali

The Bitcoin cryptocurrency records its transactions in a public log called the blockchain. Its security rests critically on the distributed protocol that maintains the blockchain, run by participants called miners. Conventional wisdom…

Cryptography and Security · Computer Science 2013-11-18 Ittay Eyal , Emin Gun Sirer

We present an analysis of the Proof-of-Work consensus algorithm, used on the Bitcoin blockchain, using a Mean Field Game framework. Using a master equation, we provide an equilibrium characterization of the total computational power devoted…

Theoretical Economics · Economics 2020-04-21 Charles Bertucci , Louis Bertucci , Jean-Michel Lasry , Pierre-Louis Lions

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

In this paper, we identify a new form of attack, called the Balance attack, against proof-of-work blockchain systems. The novelty of this attack consists of delaying network communications between multiple subgroups of nodes with balanced…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-02 Christopher Natoli , Vincent Gramoli

In this work, we reexamine the vulnerability of Payment Channel Networks (PCNs) to bribing attacks, where an adversary incentivizes blockchain miners to deliberately ignore a specific transaction to undermine the punishment mechanism of…

Cryptography and Security · Computer Science 2024-07-18 Zeta Avarikioti , Paweł Kędzior , Tomasz Lizurej , Tomasz Michalak

The rise of computational power has led to unprecedented performance gains for deep learning models. As more data becomes available and model architectures become more complex, the need for more computational power increases. On the other…

Cryptography and Security · Computer Science 2023-09-01 Mahmoud Salhab , Khaleel Mershad