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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…

计算机科学与博弈论 · 计算机科学 2021-10-20 Jinmian Chen , Yukun Cheng , Zhiqi Xu , Yan Cao

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.…

数理金融 · 定量金融 2019-04-16 Carey Caginalp , Gunduz Caginalp

Despite the popularity and practical applicability of blockchains, there is very limited work on the theoretical foundation of blockchains: The lack of rigorous theory and analysis behind the curtain of blockchains has severely staggered…

计算机科学与博弈论 · 计算机科学 2020-01-14 Dongfang Zhao

The arisen of Bitcoin has led to much enthusiasm for blockchain research and block mining, and the extensive existence of mining pools helps its participants (i.e., miners) gain reward more frequently. Recently, the mining pools are proved…

计算机科学与博弈论 · 计算机科学 2020-08-18 Zhihuai Chen , Bo Li , Xiaohan Shan , Xiaoming Sun , Jialin Zhang

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

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…

计算机科学与博弈论 · 计算机科学 2021-07-22 David Lajeunesse , Hugo D. Scolnik

In nature and society problems arise when different interests are difficult to reconcile, which are modeled in game theory. While most applications assume uncorrelated games, a more detailed modeling is necessary to consider the…

物理与社会 · 物理学 2019-08-21 A. D. Correia , H. T. C. Stoof

The game-theoretic risk management framework put forth in the precursor work "Towards a Theory of Games with Payoffs that are Probability-Distributions" (arXiv:1506.07368 [q-fin.EC]) is herein extended by algorithmic details on how to…

综合经济学 · 经济学 2020-04-10 Stefan Rass

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…

计算机科学与博弈论 · 计算机科学 2019-02-26 Yulong Zeng , Song Zuo

It is known that a player in a noncooperative game can benefit by publicly restricting his possible moves before play begins. We show that, more generally, a player may benefit by publicly committing to pay an external party an amount that…

综合经济学 · 经济学 2024-01-05 James W. Bono , David H. Wolpert

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 propose a type of non-cooperative game, termed multi-cluster aggregative game, which is composed of clusters as players, where each cluster consists of collaborative agents with cost functions depending on their own decisions and the…

多智能体系统 · 计算机科学 2023-05-16 Yue Chen , Peng Yi

Launching a new blockchain system or application is frequently facilitated by a so called airdrop, where the system designer chooses a pre-existing set of potentially interested parties and allocates newly minted tokens to them with the…

计算机科学与博弈论 · 计算机科学 2025-05-07 Sotiris Georganas , Aggelos Kiayias , Paolo Penna

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

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 consider a stochastic tournament game in which each player is rewarded based on her rank in terms of the completion time of her own task and is subject to cost of effort. When players are homogeneous and the rewards are purely rank…

最优化与控制 · 数学 2018-11-02 Erhan Bayraktar , Jakša Cvitanić , Yuchong 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

Learning problems commonly exhibit an interesting feedback mechanism wherein the population data reacts to competing decision makers' actions. This paper formulates a new game theoretic framework for this phenomenon, called "multi-player…

计算机科学与博弈论 · 计算机科学 2022-04-08 Adhyyan Narang , Evan Faulkner , Dmitriy Drusvyatskiy , Maryam Fazel , Lillian J. Ratliff

Games with incomplete preferences are an important model for studying rational decision-making in scenarios where players face incomplete information about their preferences and must contend with incomparable outcomes. We study the problem…

计算机科学与博弈论 · 计算机科学 2024-08-13 Abhishek N. Kulkarni , Jie Fu , Ufuk Topcu

Social dilemmas are situations in which collective welfare is at odds with individual gain. One widely studied example, due to the conflict it poses between human behaviour and game theoretic reasoning, is the Traveler's Dilemma. The…

计算机科学与博弈论 · 计算机科学 2023-12-11 Maria Alejandra Ramirez , Matteo Smerlak , Arne Traulsen , Jürgen Jost