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Related papers: An Axiomatic Approach to Block Rewards

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Bitcoin-NG, a scalable blockchain protocol, divides each block into a key block and many micro blocks to effectively improve the transaction processing capacity. Bitcoin-NG has a special incentive mechanism (i.e. splitting transaction fees…

Cryptography and Security · Computer Science 2020-06-23 Taotao Wang , Xiaoqian Bai , Hao Wang , Soung Chang Liew , Shengli Zhang

The resource-consuming mining of blocks on a blockchain equipped with a proof of work consensus protocol bears the risk of ruin, namely when the operational costs for the mining exceed the received rewards. In this paper we investigate to…

Cryptography and Security · Computer Science 2021-09-08 Hansjoerg Albrecher , Dina Finger , Pierre-Olivier Goffard

Proof-of-Work (PoW) is a fundamental underlying technology behind most major blockchain cryptocurrencies. It has been previously pointed out that quantum devices provide a computational advantage in performing PoW in the context of Bitcoin.…

Quantum Physics · Physics 2021-05-06 Dan A. Bard , Joseph J. Kearney , Carlos A. Perez-Delgado

Most popular blockchain solutions, like Bitcoin, rely on proof-of-work, guaranteeing that the output of the consensus is agreed upon with high probability. However, this probability depends on the delivery of messages and that the…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-19 Christopher Natoli , Vincent Gramoli

Blockchain is a technology that provides a distributed ledger that stores previous records while maintaining consistency and security. Bitcoin is the first and largest decentralized electronic cryptographic system that uses blockchain…

Cryptography and Security · Computer Science 2021-11-05 Befekadu G. Gebraselase , Bjarne E. Helvik , Yuming Jiang

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

The security of most existing cryptocurrencies is based on a concept called Proof-of-Work, in which users must solve a computationally hard cryptopuzzle to authorize transactions (`one unit of computation, one vote'). This leads to enormous…

Computer Science and Game Theory · Computer Science 2018-09-19 Jonah Brown-Cohen , Arvind Narayanan , Christos-Alexandros Psomas , S. Matthew Weinberg

In blockchain systems, especially cryptographic currencies such as Bitcoin, the double-spending and Byzantine-general-like problem are solved by reaching consensus protocols among all nodes. The state-of-the-art protocols include…

Cryptography and Security · Computer Science 2018-08-02 Jianwen Chen , Kai Duan , Rumin Zhang , Liaoyuan Zeng , Wenyi Wang

This paper integrates Austrian capital theory with repeated game theory to examine strategic miner behaviour under different institutional conditions in blockchain systems. It shows that when protocol rules are mutable, effective time…

General Economics · Economics 2025-06-27 Craig Steven Wright

We present a strategy for a single quantum miner with relatively low hashing power, with the same ramifications as a 51% attack. Bitcoin nodes consider the chain with the highest cumulative proof-of-work to be the valid chain. A quantum…

Quantum Physics · Physics 2024-10-01 Bolton Bailey , Or Sattath

Proof-of-Work (PoW) consensus is traditionally analyzed under the assumption that all miners incur similar costs per unit of computational effort. In reality, costs vary due to factors such as regional electricity cost differences and…

Computer Science and Game Theory · Computer Science 2025-05-29 Yogev Bar-On , Ilan Komargodski , Omri Weinstein

The blocks in the Bitcoin blockchain record the amount of work W that went into creating them through proofs of work. When honest parties control a majority of the work, consensus is achieved by picking the chain with the highest recorded…

Cryptography and Security · Computer Science 2025-08-05 Mirza Ahad Baig , Christoph U. Günther , Krzysztof Pietrzak

Since the invention of Bitcoin one decade ago, numerous cryptocurrencies have sprung into existence. Among these, proof-of-work is the most common mechanism for achieving consensus, whilst a number of coins have adopted "ASIC-resistance" as…

Computers and Society · Computer Science 2019-07-05 Dimitris Karakostas , Aggelos Kiayias , Christos Nasikas , Dionysis Zindros

Mining fairness in blockchain refers to equality between the computational resources invested in mining and the block rewards received. There exists a dilemma wherein increasing the transaction processing capacity of a blockchain…

Cryptography and Security · Computer Science 2025-09-10 Akira Sakurai , Kazuyuki Shudo

The rewards a blockchain miner earns vary with time. Most of the time is spent mining without receiving any rewards, and only occasionally the miner wins a block and earns a reward. Mining pools smoothen the stochastic flow of rewards, and…

Cryptography and Security · Computer Science 2023-09-06 Axel Cortes-Cubero , Juan P. Madrigal-Cianci , Kiran Karra , Zixuan Zhang

Regardless of their variations, blockchains require a consensus mechanism to validate transactions, supervise added blocks, maintain network security, synchronize the network state, and distribute incentives. Proof-of-Work (PoW), one of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-25 Amirreza Sokhankhosh , Sara Rouhani

In this paper, we review the undercutting attacks in the transaction-fee-based regime of proof-of-work (PoW) blockchains with the longest chain fork-choice rule. Next, we focus on the problem of fluctuations in mining revenue and the mining…

Cryptography and Security · Computer Science 2023-02-13 Rastislav Budinský , Ivan Homoliak , Ivana Stančíková

Proof-of-work blockchains need to be carefully designed so as to create the proper incentives for miners to faithfully maintain the network in a sustainable way. This paper describes how the economic engineering of the Conflux Network, a…

General Economics · Economics 2020-04-29 Yuxi Cai , Fan Long , Andreas Park , Andreas Veneris

Proof-of-Work mining is intended to provide blockchains with robustness against double-spend attacks. However, an economic analysis that follows from Budish (2018), which considers free entry conditions together with the ability to rent…

Cryptography and Security · Computer Science 2020-02-26 Daniel J. Moroz , Daniel J. Aronoff , Neha Narula , David C. Parkes

Public blockchains group submitted transactions into batches, called blocks. A natural question is how to determine which transactions are included in these batches. In this note, we show a gap between the welfare of so-called `fair'…

Optimization and Control · Mathematics 2023-09-15 Theo Diamandis , Guillermo Angeris