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Bitcoin is a representative decentralized currency system. For the security of Bitcoin, fairness in the distribution of mining rewards plays a crucial role in preventing the concentration of computational power in a few miners. Here,…

Cryptography and Security · Computer Science 2025-06-17 Akira Sakurai , Kazuyuki Shudo

We study the following problem that is motivated by Blockchains where ``miners'' are serially given the monopoly for assembling transactions into the next block. Our model has a single good that is sold repeatedly every day where new demand…

Computer Science and Game Theory · Computer Science 2023-11-22 Noam Nisan

We analyze Bitcoin mining from the perspective of a game and propose an optimal mining model that maximizes profits of pools and miners. The model is a two-stage Stackelberg game in which each stage forms a sub-game. In stage I, pools are…

Computer Science and Game Theory · Computer Science 2021-07-22 David Lajeunesse , Hugo D. Scolnik

Mining for Bitcoins is a high-risk high-reward activity. Miners, seeking to reduce their variance and earn steadier rewards, collaborate in pooling strategies where they jointly mine for Bitcoins. Whenever some pool participant is…

Computer Science and Game Theory · Computer Science 2017-03-14 Ben A. Fisch , Rafael Pass , Abhi Shelat

Since its advent in 2009, Bitcoin, a cryptography-enabled peer-to-peer digital payment system, has been gaining increasing attention from both academia and industry. An effort designed to overcome a cluster of bottlenecks inherent in…

Cryptography and Security · Computer Science 2021-05-18 Ling Cheng , Feida Zhu , Huiwen Liu , Chunyan Miao

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

Bitcoin is a decentralized crypto-currency, and an accompanying protocol, created in 2008. Bitcoin nodes continuously generate and propagate blocks---collections of newly approved transactions that are added to Bitcoin's ledger. Block…

Cryptography and Security · Computer Science 2015-07-24 Ayelet Sapirshtein , Yonatan Sompolinsky , Aviv Zohar

We study the strategic considerations of miners participating in the bitcoin's protocol. We formulate and study the stochastic game that underlies these strategic considerations. The miners collectively build a tree of blocks, and they are…

Computer Science and Game Theory · Computer Science 2016-07-11 Aggelos Kiayias , Elias Koutsoupias , Maria Kyropoulou , Yiannis Tselekounis

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

We study to what extent the Bitcoin blockchain security permanently depends on the underlying distribution of cryptocurrency market outcomes. We use daily blockchain and Bitcoin data for 2014-2019 and employ the ARDL approach. We test three…

General Economics · Economics 2021-02-18 Pavel Ciaian , d'Artis Kancs , Miroslava Rajcaniova

Today's world is organized based on merit and value. A single global currency that's decentralized is needed for a global economy. Bitcoin is a partial solution to this need, however it suffers from scalability problems which prevent it…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-29 Iurii Shyshatsky , Vinod Manoharan , Taras Emelyanenko , Lucas Leger

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

The Bitcoin protocol prescribes certain behavior by the miners who are responsible for maintaining and extending the underlying blockchain; in particular, miners who successfully solve a puzzle, and hence can extend the chain by a block,…

Computer Science and Game Theory · Computer Science 2019-06-12 Francisco J. Marmolejo-Cossío , Eric Brigham , Benjamin Sela , Jonathan Katz

Bitcoin uses blockchain technology and proof-of-work (PoW) mechanism where nodes spend computing resources and earn rewards in return for spending these resources. This incentive system has caused power to be significantly biased towards a…

Cryptography and Security · Computer Science 2019-09-04 Yujin Kwon , Jian Liu , Minjeong Kim , Dawn Song , Yongdae Kim

Bitcoin has witnessed a prevailing transition that employing transaction fees paid by users rather than subsidy assigned by the system as the main incentive for mining.

Computer Science and Game Theory · Computer Science 2021-01-01 Hongwei Shi , Shengling Wang , Qin Hu , Xiuzhen Cheng , Jianhui Huang

In this paper we give an elementary analysis of economics of Bitcoin that combines the transaction demand by the consumers and the supply of hashrate by miners. We argue that the decreasing block reward will have no significant effect on…

General Economics · Economics 2022-11-15 Misha Perepelitsa

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

Blockchain-based cryptocurrencies secure a decentralized consensus protocol by incentives. The protocol participants, called miners, generate (mine) a series of blocks, each containing monetary transactions created by system users. As…

Cryptography and Security · Computer Science 2018-11-14 Itay Tsabary , Ittay Eyal

Abrupt changes in the miner hash rate applied to a proof-of-work (PoW) blockchain can adversely affect user experience and security. Because different PoW blockchains often share hashing algorithms, miners face a complex choice in deciding…

Cryptography and Security · Computer Science 2018-06-20 George Bissias , Brian N. Levine , David Thibodeau

In this paper we revisit the mining strategies in proof of work based cryptocurrencies and propose two strategies, we call smart and smarter mining, that in many cases strictly dominate honest mining. In contrast to other known attacks,…

Cryptography and Security · Computer Science 2019-02-13 Guy Goren , Alexander Spiegelman