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Related papers: A Cooperative Optimal Mining Model for Bitcoin

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Resource competition problems are often modeled using Colonel Blotto games, where players take simultaneous actions. However, many real-world scenarios involve sequential decision-making rather than simultaneous moves. To model these…

Computer Science and Game Theory · Computer Science 2025-05-13 Yan Liu , Bonan Ni , Weiran Shen , Zihe Wang , Jie Zhang

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

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

Optimization methods are used to determine equilibria of investment in cryptocurrencies. The basic assumptions involve existence of a core group (the "wealthy") that fears the loss of substantial assets through government seizure.…

Mathematical Finance · Quantitative Finance 2019-04-16 Carey Caginalp , Gunduz Caginalp

The Bitcoin cryptocurrency records its transactions in a public log called the blockchain. Its security rests critically on the distributed protocol that maintains the blockchain, run by participants called miners. Conventional wisdom…

Cryptography and Security · Computer Science 2013-11-18 Ittay Eyal , Emin Gun Sirer

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 develop a dynamic model of the Bitcoin market where users set fees themselves and miners decide whether to operate and whom to validate based on those fees. Our analysis reveals how, in equilibrium, users adjust their bids in response to…

Theoretical Economics · Economics 2025-02-24 Yuichiro Kamada , Shunya Noda

Bilevel programming problems are often found in practice. In this paper, we handle one such bilevel application problem from the domain of environmental economics. The problem is a Stakelberg game with multiple objectives at the upper…

Computer Science and Game Theory · Computer Science 2013-07-25 Ankur Sinha , Pekka Malo , Anton Frantsev , Kalyanmoy Deb

The world-changing blockchain technique provides a novel method to establish a secure, trusted and decentralized system for solving the security and personal privacy problems in Industrial Internet of Things (IIoT) applications. The mining…

Cryptography and Security · Computer Science 2020-11-30 Xingjian Ding , Jianxiong Guo , Deying Li , Weili Wu

We model and analyze blockchain miners who seek to maximize the compound return of their mining businesses. The analysis of the optimal strategies finds a new equilibrium point among the miners and the mining pools, which predicts the…

Cryptography and Security · Computer Science 2020-12-07 Go Yamamoto , Aron Laszka , Fuhito Kojima

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

To maintain blockchain-based services with ensuring its security, it is an important issue how to decide a mining reward so that the number of miners participating in the mining increases. We propose a dynamical model of decision-making for…

Computer Science and Game Theory · Computer Science 2022-04-13 Kosuke Toda , Naomi Kuze , Toshimitsu Ushio

This paper proposes a peer-to-peer energy trading scheme that can help the centralized power system to reduce the total electricity demand of its customers at the peak hour. To do so, a cooperative Stackelberg game is formulated, in which…

Systems and Control · Electrical Eng. & Systems 2019-08-27 Wayes Tushar , Tapan Kumar Saha , Chau Yuen , Thomas Morstyn , Nahid-Al-Masood , H. Vincent Poor , Richard Bean

Cooperation is fundamental for human prosperity. Blockchain, as a trust machine, is a cooperative institution in cyberspace that supports cooperation through distributed trust with consensus protocols. While studies in computer science…

General Economics · Economics 2023-01-23 Luyao Zhang , Xinyu Tian

Mining in the blockchain requires high computing power to solve the hash puzzle for example proof-of-work puzzle. It takes high cost to achieve the calculation of this problem in devices of IOT, especially the mobile devices of IOT. It…

Computer Science and Game Theory · Computer Science 2020-07-02 Liya Xu , Mingzhu Ge , Weili Wu

The energy sustainability of blockchains, whose consensus protocol rests on the Proof-of-Work, nourishes a heated debate. The underlying issue lies in a highly energy-consuming process, defined as mining, required to validate crypto-asset…

It is an important decision-making problem for a miner in the blockchain networks if he/she participates in the mining so that he/she earns a reward by creating a new block earlier than other miners. We formulate this decision-making…

Computer Science and Game Theory · Computer Science 2020-12-15 Kosuke Toda , Naomi Kuze , Toshimitsu Ushio

We study a game-theoretic model of blockchain mining economies and show that griefing, a practice according to which participants harm other participants at some lesser cost to themselves, is a prevalent threat at its Nash equilibria. The…

Computer Science and Game Theory · Computer Science 2021-06-24 Yun Kuen Cheung , Stefanos Leonardos , Georgios Piliouras , Shyam Sridhar

An existing challenge in power systems is the implementation of optimal demand management through dynamic pricing. This paper encompasses the design, analysis and implementation of a novel on-line pricing scheme based on coalitional game…

Optimization and Control · Mathematics 2024-07-16 Fernando Genis Mendoza , Pablo R Baldivieso Monasterios , Dario Bauso , George Konstantopoulos

Proof-of-Work (PoW) systems face critical challenges, including excessive energy consumption and the centralization of mining power among entities with expensive hardware. Static mining pools exacerbate these issues by reducing competition…

Cryptography and Security · Computer Science 2025-04-25 Rizwanul Haque , SM Tareq Aziz , Tahrim Hossain , Faisal Haque Bappy , Muhammad Nur Yanhaona , Tariqul Islam