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For a mining strategy we define the notion of "profit lag" as the minimum time it takes to be profitable after that moment. We compute closed forms for the profit lag and the revenue ratio for the strategies "selfish mining" and…

Cryptography and Security · Computer Science 2020-10-07 Cyril Grunspan , Ricardo Pérez-Marco

We investigate the time to consensus in Nakamoto blockchains. Specifically, we consider two competing growth processes, labeled \emph{honest} and \emph{adversarial}, and determine the time after which the honest process permananetly exceeds…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-18 Partha S. Dey , Aditya S. Gopalan , Vijay G. Subramanian

The main goal of this article is to present a direct approach for the formula giving the long-term apparent hashrates of Selfish Mining strategies using only elementary probabilities and combinatorics, more precisely, Dyck words. We can…

Cryptography and Security · Computer Science 2019-04-17 Cyril Grunspan , Ricardo Pérez-Marco

Bitcoin is the most successful cryptocurrency so far. This is mainly due to its novel consensus algorithm, which is based on proof-of-work combined with a cryptographically-protected data structure and a rewarding scheme that incentivizes…

Cryptography and Security · Computer Science 2019-05-24 Pawel Szalachowski , Daniel Reijsbergen , Ivan Homoliak , Siwei Sun

Recently, the blockchain technique was put in the spotlight as it introduced a systematic approach for multiple parties to reach consensus without needing trust. However, the application of this technique in practice is severely restricted…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-17 Zhijie Ren , Kelong Cong , Johan Pouwelse , Zekeriya Erkin

Transaction Fee Mechanism Design studies auctions run by untrusted miners for transaction inclusion in a blockchain. Under previously-considered desiderata, an auction is considered `good' if, informally-speaking, each party (i.e., the…

Computer Science and Game Theory · Computer Science 2024-10-25 Aadityan Ganesh , Clayton Thomas , S. Matthew Weinberg

Several emerging PoW blockchain protocols rely on a "parallel-chain" architecture for scaling, where instead of a single chain, multiple chains are run in parallel and aggregated. A key requirement of practical PoW blockchains is to adapt…

Cryptography and Security · Computer Science 2021-05-11 Xuechao Wang , Viswa Virinchi Muppirala , Lei Yang , Sreeram Kannan , Pramod Viswanath

We propose a high level network architecture for an economic system that integrates money, governance and reputation. We introduce a method for issuing, and redeeming a digital coin using a mechanism to create a sustainable global economy…

Economics · Quantitative Finance 2015-08-24 Benjamin Munro , Julia McLachlan

The Nakamoto longest chain protocol is remarkably simple and has been proven to provide security against any adversary with less than 50% of the total hashing power. Proof-of-stake (PoS) protocols are an energy efficient alternative;…

Cryptography and Security · Computer Science 2020-02-25 Vivek Bagaria , Amir Dembo , Sreeram Kannan , Sewoong Oh , David Tse , Pramod Viswanath , Xuechao Wang , Ofer Zeitouni

Bitcoin draws the highest degree of attention among cryptocurrencies, while coin mining is one of the most important fashion of profiting in the Bitcoin ecosystem. This paper constructs fresh coin circulation networks by tracking the fresh…

General Finance · Quantitative Finance 2022-04-28 Zeng-Xian Lin , Xiao Fan Liu

Proof-of-Stake blockchains based on a longest-chain consensus protocol are an attractive energy-friendly alternative to the Proof-of-Work paradigm. However, formal barriers to "getting the incentives right" were recently discovered, driven…

Computer Science and Game Theory · Computer Science 2023-10-31 Matheus V. X. Ferreira , S. Matthew Weinberg

We propose a bitcoin generalization as a solution to the problem of scalability. The block is redefined as a sequence of sub-blocks of increasing sizes that coexist as different levels of compromise between decentralization and transactions…

Cryptography and Security · Computer Science 2018-05-15 Santi J. Vives

Mining pools, the main components of the Bitcoin network, dominate the computing resources and play essential roles in network security and performance aspects. Although many existing measurements of the Bitcoin network are available,…

Cryptography and Security · Computer Science 2019-02-22 Canhui Wang , Xiaowen Chu , Qin Yang

The famous new money Bitcoin is classified as a technical informational money (TIM). Besides introducing the idea of a TIM, a more extreme notion of informational money will be developed: exclusively informational money (EXIM). The…

Computers and Society · Computer Science 2013-12-31 Jan A. Bergstra , Karl de Leeuw

Our aim is to determine conditions for quantum computing technology to give rise to security risks associated with quantum Bitcoin mining. Specifically, we determine the speed and energy efficiency a quantum computer needs to offer an…

Quantum Physics · Physics 2021-10-05 Robert R. Nerem , Daya R. Gaur

In Proof-of-Work blockchains, difficulty algorithms serve the crucial purpose of maintaining a stable transaction throughput by dynamically adjusting the block difficulty in response to the miners' constantly changing computational power.…

Cryptography and Security · Computer Science 2021-05-03 Dragos I. Ilie , Sam M. Werner , Iain Stewart , William J. Knottenbelt

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

In this paper, we discuss the method of Bayesian regression and its efficacy for predicting price variation of Bitcoin, a recently popularized virtual, cryptographic currency. Bayesian regression refers to utilizing empirical data as proxy…

Artificial Intelligence · Computer Science 2014-10-07 Devavrat Shah , Kang Zhang

Attracted by the inherent security and privacy protection of the blockchain, incorporating blockchain into Internet of Things (IoT) has been widely studied in these years. However, the mining process requires high computational power, which…

Cryptography and Security · Computer Science 2020-08-25 Xingjian Ding , Jianxiong Guo , Deying Li , Weili Wu

Proof-of-Stake systems randomly choose, on each round, one of the participants as a consensus leader that extends the chain with the next block such that the selection probability is proportional to the owned stake. However, distributed…

Cryptography and Security · Computer Science 2020-05-20 Mansoor Ahmed-Rengers , Kari Kostiainen
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