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Related papers: A Mean Field Games Model for Cryptocurrency Mining

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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

Mining processes of Bitcoin and similar cryptocurrencies are currently incentivized with voluntary transaction fees and fixed block rewards which will halve gradually to zero. In the setting where optional and arbitrary transaction fee…

Cryptography and Security · Computer Science 2022-07-14 Tiantian Gong , Mohsen Minaei , Wenhai Sun , Aniket Kate

Bitcoin is a "crypto currency", a decentralized electronic payment scheme based on cryptography. Bitcoin economy grows at an incredibly fast rate and is now worth some 10 billions of dollars. Bitcoin mining is an activity which consists of…

Cryptography and Security · Computer Science 2014-12-03 Nicolas T. Courtois , Lear Bahack

Blockchain-based games have introduced novel economic models that blend traditional gaming with decentralized ownership and financial incentives, leading to the rapid emergence of the GameFi sector. However, despite their innovative appeal,…

Cryptography and Security · Computer Science 2024-08-20 Pavun Shetty

We propose a mean field game (MFG) framework to model the evolution of renewable energy production in competitive electricity markets. Producers interact through the spot price while optimising their profits under production, installation,…

Optimization and Control · Mathematics 2026-03-25 Luciano Campi , Zhuoshu Wu

Cryptocurrencies have emerged as a new form of digital money that has not escaped the eyes of cyber-attackers. Traditionally, they have been maliciously used as a medium of exchange for proceeds of crime in the cyber dark-market by…

Cryptography and Security · Computer Science 2021-02-23 Aaron Zimba , Mumbi Chishimba , Christabel Ngongola-Reinke , Tozgani Fainess Mbale

Transaction fee mechanism design is a new decentralized mechanism design problem where users bid for space on the blockchain. Several recent works showed that the transaction fee mechanism design fundamentally departs from classical…

Computer Science and Game Theory · Computer Science 2024-04-23 Ke Wu , Elaine Shi , Hao Chung

Proof-of-Work is a consensus algorithm where miners solve cryptographic puzzles to mine blocks and obtain a reward through some Block Reward Mechanism (BRM). PoW blockchain faces the problem of centralization due to the formation of mining…

Computer Science and Game Theory · Computer Science 2024-01-18 Varul Srivastava , Sujit Gujar

Mining is the important part of the blockchain used the proof of work (PoW) on its consensus, looking for the matching block through testing a number of hash calculations. In order to attract more hash computing power, the miner who finds…

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

Bitcoin is a "crypto currency", a decentralized electronic payment scheme based on cryptography which has recently gained excessive popularity. Scientific research on bitcoin is less abundant. A paper at Financial Cryptography 2012…

Cryptography and Security · Computer Science 2014-04-11 Nicolas T. Courtois , Marek Grajek , Rahul Naik

The goal of this paper is to rigorously interrogate conventional wisdom about centralization in block-building (due to, e.g., MEV and private order flow) and the outsourcing of block-building by validators to specialists (i.e.,…

Computer Science and Game Theory · Computer Science 2024-01-23 Maryam Bahrani , Pranav Garimidi , Tim Roughgarden

A blockchain, such as Bitcoin, is an append-only, secure, transparent, distributed ledger. A fair blockchain is expected to have healthy metrics; high honest mining power, low processing latency, i.e., low wait times for transactions and…

Cryptography and Security · Computer Science 2020-03-03 Shoeb Siddiqui , Ganesh Vanahalli , Sujit Gujar

In this paper we describe the various scoring systems used to calculate rewards of participants in Bitcoin pooled mining, explain the problems each were designed to solve and analyze their respective advantages and disadvantages.

Distributed, Parallel, and Cluster Computing · Computer Science 2011-12-22 Meni Rosenfeld

This is an expanded version of the lecture given at the AMS Short Course on Mean Field Games, on January 13, 2020 in Denver CO. The assignment was to discuss applications of Mean Field Games in finance and economics. I need to admit upfront…

General Finance · Quantitative Finance 2020-12-11 Rene Carmona

In the past decades, the blockchain technology has attracted tremendous attention from both academia and industry. The popularity of blockchain networks was originated from a crypto-currency to serve as a decentralized and tamperproof…

Computer Science and Game Theory · Computer Science 2019-03-18 Ziyao Liu , Nguyen Cong Luong , Wenbo Wang , Dusit Niyato , Ping Wang , Ying-Chang Liang , Dong In Kim

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

We model the ultimate price paid by users of a decentralized ledger as resulting from a two-stage game where Miners (/Proposers/etc.) first purchase blockspace via a Tullock contest, and then price that space to users. When analyzing our…

Computer Science and Game Theory · Computer Science 2025-12-29 Amit Levy , S. Matthew Weinberg , Chenghan Zhou

This paper studies the competition among multiple fund managers with relative performance over the excess logarithmic return. Fund managers compete with each other and have expected utility or mean-variance criteria for excess logarithmic…

Portfolio Management · Quantitative Finance 2025-03-05 Guohui Guan , Jiaqi Hu , Zongxia Liang

This paper studies competitions with rank-based reward among a large number of teams. Within each sizable team, we consider a mean-field contribution game in which each team member contributes to the jump intensity of a common Poisson…

Computer Science and Game Theory · Computer Science 2021-05-18 Xiang Yu , Yuchong Zhang , Zhou Zhou

The Bitcoin payment system involves two agent types: Users that transact with the currency and pay fees and miners in charge of authorizing transactions and securing the system in return for these fees. Two of Bitcoin's challenges are (i)…

Cryptography and Security · Computer Science 2022-03-15 Ron Lavi , Or Sattath , Aviv Zohar
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