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Related papers: Mean Field Analysis of Blockchain Systems

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A decentralized blockchain is a distributed ledger that is often used as a platform for exchanging goods and services. This ledger is maintained by a network of nodes that obeys a set of rules, called a consensus protocol, which helps to…

Optimization and Control · Mathematics 2022-01-03 Lucy Klinger , Lei Zhang , Zhennan Zhou

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

Understanding the strategic behavior of miners in a blockchain is of great importance for its proper operation. A common model for mining games considers an infinite time horizon, with players optimizing asymptotic average objectives.…

Computer Science and Game Theory · Computer Science 2021-07-21 Alejandro Jofré , Angel Pardo , David Salas , Victor Verdugo , José Verschae

Blockchain plays a crucial role in ensuring the security and integrity of decentralized systems, with the proof-of-work (PoW) mechanism being fundamental for achieving distributed consensus. As PoW blockchains see broader adoption, an…

Systems and Control · Electrical Eng. & Systems 2026-01-07 Xunqiang Lan , Xiao Tang , Ruonan Zhang , Bin Li , Qinghe Du , Dusit Niyato , Zhu Han

With rapid development of blockchain technology as well as integration of various application areas, performance evaluation, performance optimization, and dynamic decision in blockchain systems are playing an increasingly important role in…

Performance · Computer Science 2022-11-30 Quan-Lin Li , Yan-Xia Chang , Qing Wang

In this paper, we propose two models for scaling the transaction throughput in Proof-of-Work (PoW) based blockchain networks. In the first approach, a mathematical model has derived for optimal transaction throughput for PoW based longest…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-21 B Swaroopa Reddy , G V V Sharma

The blockchain data structure maintained via the longest-chain rule---popularized by Bitcoin---is a powerful algorithmic tool for consensus algorithms. Such algorithms achieve consistency for blocks in the chain as a function of their depth…

Cryptography and Security · Computer Science 2019-11-25 Erica Blum , Aggelos Kiayias , Cristopher Moore , Saad Quader , Alexander Russell

The goal of this paper is to establish the general framework of consensus equilibria for Mining-Pool Games in Blockchain Ecosystems, and with the explanation for the stability of in terms of the existence of consensus equilibria related to…

Cryptography and Security · Computer Science 2020-07-01 George Yuan

Blockchain technology is a breakthrough in changing the ways of business and organization operations, in which the consensus problem is challenging with practical constraints, such as computational power and consensus standard. In this…

Computational Engineering, Finance, and Science · Computer Science 2023-09-19 Yuqi Xie , Changbing Tang , Feilong Lin , Guanrong Chen , Zhao Zhang , Zhonglong Zheng

This paper presents a comprehensive comparative analysis of two dominant blockchain consensus mechanisms, Proof of Work (PoW) and Proof of Stake (PoS), evaluated across seven critical metrics: energy use, security, transaction speed,…

Cryptography and Security · Computer Science 2025-11-24 Kaeli Andrews , Linh B. Ngo , Md Amiruzzaman

Many real-world decision problems involve the interaction of multiple self-interested agents with limited sensing ability. The partially observable stochastic game (POSG) provides a mathematical framework for modeling these problems,…

Computer Science and Game Theory · Computer Science 2024-10-30 Tyler Becker , Zachary Sunberg

Blockchain and general purpose distributed ledgers are foundational technologies which bring significant innovation in the infrastructures and other underpinnings of our socio-economic systems. These P2P technologies are able to securely…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-17 Claudio J. Tessone , Paolo Tasca , Flavio Iannelli

The blockchain paradigm provides a mechanism for content dissemination and distributed consensus on Peer-to-Peer (P2P) networks. While this paradigm has been widely adopted in industry, it has not been carefully analyzed in terms of its…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-22 Aditya Gopalan , Abishek Sankararaman , Anwar Walid , Sriram Vishwanath

The growing number of implementations of blockchain systems stands in stark contrast with still limited research on a systematic comparison of performance characteristics of these solutions. Such research is crucial for evaluating…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-25 Bulat Nasrulin , Martijn De Vos , Georgy Ishmaev , Johan Pouwelse

We improve the fundamental security threshold of eventual consensus Proof-of-Stake (PoS) blockchain protocols under the longest-chain rule by showing, for the first time, the positive effect of rounds with concurrent honest leaders. Current…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-30 Aggelos Kiayias , Saad Quader , Alexander Russell

Blockchains have witnessed widespread adoption in the past decade in various fields. The growing demand makes their scalability and sustainability challenges more evident than ever. As a result, more and more blockchains have begun to adopt…

Computer Science and Game Theory · Computer Science 2021-07-12 Shashank Motepalli , Hans-Arno Jacobsen

We use the Markov chain approximation method to construct approximations for the solution of the mean field game (MFG) with reflecting barriers studied in Bayraktar, Budhiraja, and Cohen (2017). The MFG is formulated in terms of a…

Optimization and Control · Mathematics 2018-08-28 Erhan Bayraktar , Amarjit Budhiraja , Asaf Cohen

Proof of Stake (PoS) blockchains offer promising alternatives to traditional Proof of Work (PoW) systems, providing scalability and energy efficiency. However, blockchains operate in a decentralized manner and the network is composed of…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-25 Faisal Haque Bappy , Tariqul Islam , Kamrul Hasan , Md Sajidul Islam Sajid , Mir Mehedi Ahsan Pritom

In a PoW-based blockchain network, mining pools (the solo miner could be regarded as a mining pool containing one miner) compete to successfully mine blocks to pursue rewards. Generally, the rewards include the fixed block subsidies and…

Computer Science and Game Theory · Computer Science 2021-10-20 Jinmian Chen , Yukun Cheng , Zhiqi Xu , Yan Cao

As distributed ledgers, blockchains run consensus protocols which trade capacity for consistency, especially in non-ideal networks with incomplete connectivity and erroneous links. Existing studies on the tradeoff between capacity and…

Cryptography and Security · Computer Science 2021-06-29 Xu Wang , Wei Ni , Xuan Zha , Guangsheng Yu , Ren Ping Liu , Nektarios Georgalas , Andrew Reeves
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