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Since the inception of Bitcoin, cryptocurrencies and the underlying blockchain technology have attracted an increasing interest from both academia and industry. Among various core components, consensus protocol is the defining technology…

Cryptography and Security · Computer Science 2020-02-21 Yang Xiao , Ning Zhang , Wenjing Lou , Y. Thomas Hou

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

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

Consensus mechanism is the core technology for blockchain to ensure that transactions are executed in sequence. It also determines the decentralization, security, and efficiency of blockchain. Existing mechanisms all have certain…

Cryptography and Security · Computer Science 2025-01-03 Chenxi Xiong , Ting Yang , Yu Wang , Bing Dong

The energy sustainability of blockchains, whose consensus protocol rests on the Proof-of-Work, nourishes a heated debate. The underlying issue lies in a highly energy-consuming process, defined as mining, required to validate crypto-asset…

Proof-of-work blockchains reward each miner for one completed block by an amount that is, in expectation, proportional to the number of hashes the miner contributed to the mining of the block. Is this proportional allocation rule optimal?…

Computer Science and Game Theory · Computer Science 2019-09-25 Xi Chen , Christos Papadimitriou , Tim Roughgarden

In the context of blockchain systems, the importance of decentralization is undermined by the lack of a widely accepted methodology to measure it. To address this gap, we set out a systematization effort targeting the decentralization…

Cryptography and Security · Computer Science 2025-02-07 Christina Ovezik , Dimitris Karakostas , Mary Milad , Aggelos Kiayias , Daniel W. Woods

Consensus protocols play a pivotal role to balance security and efficiency in blockchain systems. In this paper, we propose an evaluation framework for blockchain consensus protocols termed as AlphaBlock. In this framework, we compare the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-28 Haitao Xiang , Zhijie Ren , Ziheng Zhou , Ning Wang , Hanqing Jin

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

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

Mining blocks on a blockchain equipped with a proof of work consensus protocol is well-known to be resource-consuming. A miner bears the operational cost, mainly electricity consumption and IT gear, of mining, and is compensated by a…

Cryptography and Security · Computer Science 2020-10-27 Hansjoerg Albrecher , Pierre-Olivier Goffard

We present a novel framework for analyzing blockchain consensus mechanisms by modeling blockchain growth as a Partially Observable Stochastic Game (POSG) which we reduce to a set of Partially Observable Markov Decision Processes (POMDPs)…

Computer Science and Game Theory · Computer Science 2026-01-12 Yanni Georghiades , Takashi Tanaka , Sriram Vishwanath

We analyze the economic incentives generated by the proof-of-stake mechanism discussed in the Ethereum Casper upgrade proposal. Compared with proof-of-work, proof-of-stake has a different cost structure for attackers. In Budish (2018),…

Cryptography and Security · Computer Science 2018-07-26 George Gui , Ali Hortacsu , Jose Tudon

The advent of blockchain technology by the Nakamoto group in 2008 has created a new trend on how to deal with various security issues and vulnerabilities. Blockchain systems have gained momentum in various spheres of technology deployment…

Cryptography and Security · Computer Science 2022-05-19 Md Arquam , Ashish Patel , Parma Nand

Blokchain is a promising technology to enable distributed and reliable data sharing at the network edge. The high security in blockchain is undoubtedly a critical factor for the network to handle important data item. On the other hand,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-09 Yixin Li , Liang Liang , Yunjian Jia , Wanli Wen , Chaowei Tang , Zhengchuan Chen

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

We study Nash-dynamics in the context of blockchain protocols. We introduce a formal model, within which one can assess whether the Nash dynamics can lead utility-maximizing participants to defect from the "honest" protocol operation,…

Cryptography and Security · Computer Science 2022-03-24 Dimitris Karakostas , Aggelos Kiayias , Thomas Zacharias

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

Mining in proof-of-work blockchains has become an expensive affair requiring specialized hardware capable of executing several megahashes per second at huge electricity costs. Miners earn a reward each time they mine a block within the…

Networking and Internet Architecture · Computer Science 2023-08-30 Arti Vedula , Abhishek Gupta , Shaileshh Bojja Venkatakrishnan

Bitcoin mining presents a significant economic incentive for efficient hashing and broadcast of data, both parameters stemming from the Proofs of Work used to advance the network. This incentive has led to the development of Bitcoin…

Cryptography and Security · Computer Science 2016-03-17 Jonathan Harvey-Buschel , Can Kisagun
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