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Related papers: A Cooperative Optimal Mining Model for Bitcoin

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In cryptocurrencies, the block reward is meant to serve as the incentive mechanism for miners to commit resources to create blocks and in effect secure the system. Existing systems primarily divide the reward in proportion to expended…

Computer Science and Game Theory · Computer Science 2021-03-24 Lucianna Kiffer , Rajmohan Rajaraman

The Stackelberg equilibrium solution concept describes optimal strategies to commit to: Player 1 (termed the leader) publicly commits to a strategy and Player 2 (termed the follower) plays a best response to this strategy (ties are broken…

Computer Science and Game Theory · Computer Science 2016-08-24 Branislav Bosansky , Simina Branzei , Kristoffer Arnsfelt Hansen , Peter Bro Miltersen , Troels Bjerre Sorensen

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

We introduce and study incentive equilibria for multi-player meanpayoff games. Incentive equilibria generalise well-studied solution concepts such as Nash equilibria and leader equilibria (also known as Stackelberg equilibria). Recall that…

Computer Science and Game Theory · Computer Science 2015-11-03 Anshul Gupta , M. S. Krishna Deepak , Bharath Kumar Padarthi , Sven Schewe , Ashutosh Trivedi

This paper introduces a structural game-theoretic model to value decentralized digital assets like Bitcoin. Instead of relying on speculative beliefs, it frames the asset's price within a Rational-Expectations Security-Utility Nash…

Cryptography and Security · Computer Science 2025-08-12 Liang Chen

In this paper, we propose a hierarchical game approach to model the energy efficiency maximization problem where transmitters individually choose their channel assignment and power control. We conduct a thorough analysis of the existence,…

Information Theory · Computer Science 2016-11-15 Majed Haddad , Piotr Wiecek , Oussama Habachi , Yezekael Hayel

Prior work has studied the computational complexity of computing optimal strategies to commit to in Stackelberg or leadership games, where a leader commits to a strategy which is observed by one or more followers. We extend this setting to…

Computer Science and Game Theory · Computer Science 2024-10-22 Nathaniel Sauerberg , Caspar Oesterheld

In this paper, we provide a new theoretical framework of pyramid Markov processes to solve some open and fundamental problems of blockchain selfish mining under a rigorous mathematical setting. We first describe a more general model of…

Cryptography and Security · Computer Science 2021-09-14 Quan-Lin Li , Yan-Xia Chang , Xiaole Wu , Guoqing Zhang

Existing methods for learning Stackelberg equilibria typically assume that the followers' (variational, generalized) Nash equilibrium is unique. However, in the presence of multiple equilibria, without a selection convention, the problem…

Optimization and Control · Mathematics 2026-04-30 Silvia Cianchi , Anibal Sanjab , Sergio Grammatico

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

Following the publication of Bitcoin's arguably most famous attack, selfish mining, various works have introduced mechanisms to enhance blockchain systems' game theoretic resilience. Some reward mechanisms, like FruitChains, have been shown…

Computer Science and Game Theory · Computer Science 2025-03-14 Lukas Aumayr , Zeta Avarikioti , Dimitris Karakostas , Karl Kreder , Shreekara Shastry

With high scalability, high video streaming quality, and low bandwidth requirement, peer-to-peer (P2P) systems have become a popular way to exchange files and deliver multimedia content over the internet. However, current P2P systems are…

Networking and Internet Architecture · Computer Science 2014-08-05 Xin Kang , Yongdong Wu

This paper focuses on multi-stage coordination for a population of thermostatically controlled loads (TCL). Each load maximizes the individual utility in response to an energy price, while the coordinator determines the price to maximize…

Optimization and Control · Mathematics 2016-08-09 Sen Li , Wei Zhang , Jianming Lian , Karanjit Kalsi

Bitcoin and Ethereum are the top two blockchain-based cryptocurrencies whether from cryptocurrency market cap or popularity. However, they are vulnerable to selfish mining and stubborn mining due to that both of them adopt Proof-of-Work…

Cryptography and Security · Computer Science 2021-12-07 Runkai Yang , Xiaolin Chang , Jelena Mišić , Vojislav B. Mišić

Understanding the strategic behavior of miners in a blockchain is of great importance for its proper operation. A common model for mining games considers an infinite time horizon, with players optimizing asymptotic average objectives.…

Computer Science and Game Theory · Computer Science 2021-07-21 Alejandro Jofré , Angel Pardo , David Salas , Victor Verdugo , José Verschae

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

Local energy markets empower prosumers to form coalitions for energy trading. However, the optimal partitioning of the distribution grid into such coalitions remains unclear, especially in constrained grids with stochastic production and…

Systems and Control · Electrical Eng. & Systems 2026-03-25 Saurabh Vaishampayan , Maryam Kamgarpour

This paper explores an idea of demand-supply balance for smart grids in which consumers are expected to play a significant role. The main objective is to motivate the consumer, by maximizing their benefit both as a seller and a buyer, to…

Computer Science and Game Theory · Computer Science 2013-04-04 Wayes Tushar , Jian A. Zhang , David B. Smith , Sylvie Thiebaux , H. Vincent Poor

Crowdsourcing has emerged as a paradigm for leveraging human intelligence and activity to solve a wide range of tasks. However, strategic workers will find enticement in their self-interest to free-ride and attack in a crowdsourcing contest…

Computer Science and Game Theory · Computer Science 2018-01-01 Jianfeng Lu , Yun Xin , Zhao Zhang , Shaojie Tang , Songyuan Yan , Changbing Tang

We study the problem of optimally investing in nodes of a social network in a competitive setting, wherein two camps aim to drive the average opinion of the population in their own favor. Using a well-established model of opinion dynamics,…

Social and Information Networks · Computer Science 2018-08-13 Swapnil Dhamal , Walid Ben-Ameur , Tijani Chahed , Eitan Altman
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