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Owing to some special characteristics and features, blockchain is a very useful technique that can securely organize diverse devices in a smart city. It finds wide applications, especially in distributed environments, where entities such as…

Cryptography and Security · Computer Science 2021-04-01 Jiahui Chen , Wensheng Gan , Muchuang Hu , Chien-Ming Chen

Although proof of work (PoW) consensus dominates the current blockchain-based systems mostly, it has always been criticized for the uneconomic brute-force calculation. As alternatives, energy-conservation and energy-recycling mechanisms…

Cryptography and Security · Computer Science 2022-11-03 Shengling Wang , Lina Shi , Hongwei Shi , Yifang Zhang , Qin Hu , Xiuzhen Cheng

The distributed consensus mechanism is the backbone of the rapidly developing blockchain network. Blockchain platforms consume vast amounts of electricity based on the current consensus mechanism of Proof of Work. Here, we point out an…

Computers and Society · Computer Science 2022-01-19 Xiaoyang Shi , Hang Xiao , Weifeng Liu , Xi Chen , Klaus. S. Lackner , Vitalik Buterin , Thomas F. Stocker

With the increasing adoption of decentralized information systems based on a variety of permissionless blockchain networks, the choice of consensus mechanism is at the core of many controversial discussions. Ethereum's recent transition…

Cryptography and Security · Computer Science 2024-02-01 Iván Abellán Álvarez , Vincent Gramlich , Johannes Sedlmeir

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

Distributed ledger technology has gained wide popularity and adoption since the emergence of bitcoin in 2008 which is based on proof of work (PoW). It is a distributed, transparent and immutable database of records of all the transactions…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-10 Abdul Wahab , Waqas Mehmood

Does the proof-of-work protocol serve its intended purpose of supporting decentralized cryptocurrency mining? To address this question, we develop a game-theoretical model where miners first invest in hardware to improve the efficiency of…

Trading and Market Microstructure · Quantitative Finance 2021-06-21 Agostino Capponi , Sveinn Olafsson , Humoud Alsabah

Mining blocks in a blockchain using the \textit{Proof-of-Work} consensus protocol involves significant risk, as network participants face continuous operational costs while earning infrequent capital gains upon successfully mining a block.…

Cryptography and Security · Computer Science 2025-11-19 Pierre-Olivier Goffard , Hansjoerg Albrecher , Jean-Pierre Fouque

Blockchain is a novel technology that is rising a lot of interest in the industrial and re- search sectors because its properties of decentralisation, immutability and data integrity. Initially, the underlying consensus mechanism has been…

Cryptography and Security · Computer Science 2018-05-10 Stefano De Angelis

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

Proof of Work (PoW) is widely regarded as the most secure permissionless blockchain consensus protocol. However, its reliance on computationally intensive yet externally useless puzzles results in excessive electric energy wasting. To…

Cryptography and Security · Computer Science 2025-10-14 Samuel Oleksak , Richard Gazdik , Martin Peresini , Ivan Homoliak

The protocol for cryptocurrencies can be divided into three parts, namely consensus, wallet, and networking overlay. The aim of the consensus part is to bring trustless rational peer-to-peer nodes to an agreement to the current status of…

Cryptography and Security · Computer Science 2020-06-23 Sangjun Park , Haeung Choi , Heung-No Lee

Open-access blockchains based on proof-of-work protocols have gained tremendous popularity for their capabilities of providing decentralized tamper-proof ledgers and platforms for data-driven autonomous organization. Nevertheless, the…

Cryptography and Security · Computer Science 2019-05-14 Shaohan Feng , Wenbo Wang , Zehui Xiong , Dusit Niyato , Ping Wang , Shaun Shuxun Wang

The sixth generation (6G) systems are generally recognized to be established on ubiquitous Artificial Intelligence (AI) and distributed ledger such as blockchain. However, the AI training demands tremendous computing resource, which is…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-30 Yunkai Wei , Zixian An , Supeng Leng , Kun Yang

Blockchain systems often employ proof-of-work consensus protocols to validate and add transactions into hashchains. These protocols stimulate competition among miners in solving cryptopuzzles (e.g. SHA-256 hash computation in Bitcoin) in…

Computer Science and Game Theory · Computer Science 2020-05-13 Venkata Sriram Siddhardh Nadendla , Lav R. Varshney

Popular distributed ledger technology (DLT) systems using proof-of-work (PoW) for Sybil attack resistance have extreme energy requirements, drawing stern criticism from academia, businesses, and the media. DLT systems building on…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-05 Moritz Platt , Johannes Sedlmeir , Daniel Platt , Paolo Tasca , Jiahua Xu , Nikhil Vadgama , Juan Ignacio Ibañez

Proof-of-stake (PoS) has emerged as a natural alternative to the resource-intensive Proof-of-Work (PoW) blockchain, as was recently seen with the Ethereum Merge. PoS-based blockchains require an initial stake distribution among the…

Computer Science and Game Theory · Computer Science 2024-04-16 Varul Srivastava , Sankarshan Damle , Sujit Gujar

This paper studies a fundamental problem regarding the security of blockchain PoW consensus on how the existence of multiple misbehaving miners influences the profitability of selfish mining. Each selfish miner (or attacker interchangeably)…

Cryptography and Security · Computer Science 2023-04-04 Qianlan Bai , Yuedong Xu , Nianyi Liu , Xin Wang

Blockchain has become a popular decentralized paradigm for various applications in the zero-trust environment. The core of the blockchain is the consensus protocol, which establishes consensus among all the participants. PoW (Proof-of-Work)…

Cryptography and Security · Computer Science 2023-08-30 Peiran Wang

In the white book of Bitcion, Satoshi Nakamoto described a bitcoin system that can realize point-to-point online payment without a third-party organization. After supporting this magical application scenario and subverting the traditional…

Cryptography and Security · Computer Science 2022-09-26 Shi Yan