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This paper is concerned with the stability of shares in a cryptocurrency where the new coins are issued according to the Proof of Stake protocol. We identify large, medium and small investors under various rewarding schemes, and show that…

General Economics · Economics 2022-06-07 Wenpin Tang

Most online lotteries today fail to ensure the verifiability of the random process and rely on a trusted third party. This issue has received little attention since the emergence of distributed protocols like Bitcoin that demonstrated the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-18 Stéphane Grumbach , Robert Riemann

The present paper introduces a practical protocol for provably secure, outsourced computation. Our protocol minimizes overhead for verification by requiring solutions to withstand an interactive game between a prover and challenger. For…

Computer Science and Game Theory · Computer Science 2016-06-21 Sanjay Jain , Prateek Saxena , Frank Stephan , Jason Teutsch

The purpose of a consensus protocol is to keep a distributed network of nodes "in sync," even in the presence of an unpredictable communication network and adversarial behavior by some of the participating nodes. In the permissionless…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-25 Eric Budish , Andrew Lewis-Pye , Tim Roughgarden

Population protocols model information spreading and computation in network systems where pairwise node exchanges are determined by an external random scheduler and nodes have small memory. Most of the population protocols in the literature…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-06 Costas Busch , Dariusz R. Kowalski

In most popular public accessible cryptocurrency systems, the mining pool plays a key role because mining cryptocurrency with the mining pool turns the non-profitable situation into profitable for individual miners. In many recent novel…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-16 Boyang Li , Qing Lu , Weiwen Jiang , Taeho Jung , Yiyu Shi

Blockchains combine other technologies, such as cryptography, networking, and incentive mechanisms, to enable the creation, validation, and recording of transactions between participating nodes. A consensus algorithm is used in a blockchain…

Social and Information Networks · Computer Science 2021-09-01 Oladotun Aluko , Anton Kolonin

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

In recent years, cryptocurrencies have attracted growing attention from both private investors and institutions. Among them, Bitcoin stands out for its impressive volatility and widespread influence. This paper explores the predictability…

Statistical Finance · Quantitative Finance 2025-04-29 Grégory Bournassenko

The consensus protocol is the core of a blockchain system which guarantees its secure and stable operation. Proof of Activity (PoA) is a consensus protocol that tries to address some of the issues pertinent to the most widely used…

Cryptography and Security · Computer Science 2022-11-30 Sina Kamali , Shayan Shabihi , Mohammad Taha Fakharian , Alireza Arbabi , Pouriya Tajmehrabi , Mohammad Saadati , Behnam Bahrak

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

We study fault-tolerant consensus in a variant of the synchronous message passing model, where, in each round, every node can choose to be awake or asleep. This is known as the sleeping model (Chatterjee, Gmyr, Pandurangan PODC 2020) and…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-31 Shachar Meir , Hugo Mirault , David Peleg , Peter Robinson

Consensus is one of the most fundamental distributed computing problems. In particular, it serves as a building block in many replication based fault-tolerant systems and in particular in multiple recent blockchain solutions. Depending on…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-08 Yehonatan Buchnik , Roy Friedman

Major cryptocurrency networks have relied on random peering choice rules for making connections in their peer-to-peer networks. Generally, these choices have good properties, particularly for open, permissionless networks. Random peering…

Computer Science and Game Theory · Computer Science 2024-02-23 Lucianna Kiffer , Rajmohan Rajaraman

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

We study the computation contests where players compete for searching a solution to a given problem with a winner-take-all reward. The search processes are independent across the players and the search speeds of players are proportional to…

Computer Science and Game Theory · Computer Science 2019-02-26 Yulong Zeng , Song Zuo

The Bitcoin system only provides eventual consistency. For everyday life, the time to confirm a Bitcoin transaction is prohibitively slow. In this paper we propose a new system, built on the Bitcoin blockchain, which enables strong…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-30 Christian Decker , Jochen Seidel , Roger Wattenhofer

Bitcoin is a decentralized, pseudonymous cryptocurrency that is one of the most used digital assets to date. Its unregulated nature and inherent anonymity of users have led to a dramatic increase in its use for illicit activities. This…

Cryptography and Security · Computer Science 2019-10-16 Francesco Zola , Maria Eguimendia , Jan Lukas Bruse , Raul Orduna Urrutia

The idea of security sharing goes back to Nakamoto's introduction of merge mining, a technique that enables Bitcoin miners to reuse their hash power to bootstrap and secure other Proof-of-Work (PoW) blockchains. However, with the rise of…

Cryptography and Security · Computer Science 2026-05-20 Xinshu Dong , Orfeas Stefanos Thyfronitis Litos , Ertem Nusret Tas , David Tse , Robin Linus Woll , Lei Yang , Mingchao Yu

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