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相关论文: The Convergence Rates of Blockchain Mining Games: …

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Blockchain games introduce unique gameplay and incentive mechanisms by allowing players to be rewarded with in-game assets or tokens through financial activities. However, most blockchain games are not comparable to traditional games in…

社会与信息网络 · 计算机科学 2022-10-25 Yu Jiang , Tian Min , Sizheng Fan , Rongqi Tao , Wei Cai

We present a novel framework for analyzing blockchain consensus mechanisms by modeling blockchain growth as a Partially Observable Stochastic Game (POSG) which we reduce to a set of Partially Observable Markov Decision Processes (POMDPs)…

计算机科学与博弈论 · 计算机科学 2026-01-12 Yanni Georghiades , Takashi Tanaka , Sriram Vishwanath

We study a stochastic game framework with dynamic set of players, for modeling and analyzing their computational investment strategies in distributed computing. Players obtain a certain reward for solving the problem or for providing their…

计算机科学与博弈论 · 计算机科学 2019-11-19 Swapnil Dhamal , Walid Ben-Ameur , Tijani Chahed , Eitan Altman , Albert Sunny , Sudheer Poojary

We introduce Mean Field Markov games with $N$ players, in which each individual in a large population interacts with other randomly selected players. The states and actions of each player in an interaction together determine the…

最优化与控制 · 数学 2012-01-12 H. Tembine , J. -Y. Le Boudec , R. El-Azouzi , E. Altman

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…

理论经济学 · 经济学 2020-04-21 Charles Bertucci , Louis Bertucci , Jean-Michel Lasry , Pierre-Louis Lions

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…

计算机科学与博弈论 · 计算机科学 2016-07-11 Aggelos Kiayias , Elias Koutsoupias , Maria Kyropoulou , Yiannis Tselekounis

With rapid development of blockchain technology as well as integration of various application areas, performance evaluation, performance optimization, and dynamic decision in blockchain systems are playing an increasingly important role in…

性能 · 计算机科学 2022-11-30 Quan-Lin Li , Yan-Xia Chang , Qing Wang

The goal of this paper is to establish the general framework of consensus equilibria for Mining-Pool Games in Blockchain Ecosystems, and with the explanation for the stability of in terms of the existence of consensus equilibria related to…

密码学与安全 · 计算机科学 2020-07-01 George Yuan

We consider two-player stochastic games played on a finite graph for infinitely many rounds. Stochastic games generalize both Markov decision processes (MDP) by adding an adversary player, and two-player deterministic games by adding…

计算机科学与博弈论 · 计算机科学 2022-02-28 Laurent Doyen

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…

密码学与安全 · 计算机科学 2020-12-07 Go Yamamoto , Aron Laszka , Fuhito Kojima

To participate in the distributed consensus of permissionless blockchains, prospective nodes -- or miners -- provide proof of designated, costly resources. However, in contrast to the intended decentralization, current data on blockchain…

计算机科学与博弈论 · 计算机科学 2021-07-20 Nikos Leonardos , Stefanos Leonardos , Georgios Piliouras

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…

密码学与安全 · 计算机科学 2020-06-23 Taotao Wang , Xiaoqian Bai , Hao Wang , Soung Chang Liew , Shengli 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…

综合经济学 · 经济学 2025-06-27 Craig Steven Wright

We consider the problem of distributed convergence to efficient outcomes in coordination games through dynamics based on aspiration learning. Under aspiration learning, a player continues to play an action as long as the rewards received…

计算机科学与博弈论 · 计算机科学 2019-03-20 Georgios C. Chasparis , Ari Arapostathis , Jeff S. Shamma

This work applies reinforcement learning (RL) from the AI machine learning field to derive an optimal Bitcoin-like blockchain mining strategy without knowing the details of the blockchain network model. Previously, the most profitable…

密码学与安全 · 计算机科学 2021-01-07 Taotao Wang , Soung Chang Liew , Shengli Zhang

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…

综合经济学 · 经济学 2023-01-23 Luyao Zhang , Xinyu Tian

A decentralized blockchain is a distributed ledger that is often used as a platform for exchanging goods and services. This ledger is maintained by a network of nodes that obeys a set of rules, called a consensus protocol, which helps to…

最优化与控制 · 数学 2022-01-03 Lucy Klinger , Lei Zhang , Zhennan Zhou

We propose a mean field game model to study the question of how centralization of reward and computational power occur in Bitcoin-like cryptocurrencies. Miners compete against each other for mining rewards by increasing their computational…

最优化与控制 · 数学 2022-01-25 Zongxi Li , A. Max Reppen , Ronnie Sircar

We use the Markov chain approximation method to construct approximations for the solution of the mean field game (MFG) with reflecting barriers studied in Bayraktar, Budhiraja, and Cohen (2017). The MFG is formulated in terms of a…

最优化与控制 · 数学 2018-08-28 Erhan Bayraktar , Amarjit Budhiraja , Asaf Cohen

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…

密码学与安全 · 计算机科学 2021-09-14 Quan-Lin Li , Yan-Xia Chang , Xiaole Wu , Guoqing Zhang
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