Abstract
The blockchain technology has been rapidly popularizing and gaining a quick mileage in many domains owing to its innate nature, so there must be several tremendous market opportunities and uncertainties for the blockchain cloud service. We propose a Cournot duopoly game in a blockchain cloud services market for cyber-physical-social systems (CPSS). Introducing Brownian noise disturbance to the deterministic Cournot duopoly game, we construct a stochastic Cournot duopoly game in a blockchain cloud service market with uncertainty. We analyze the stochastic stability of the Cournot duopoly game by the Lyapunov exponent method, the Lyapunov function, and the singular boundary theory. Then we investigate the stochastic Hopf bifurcation of the Cournot duopoly game by the invariant measure theory. At last, we numerically validate these results by the probability density. These results of stability and Hopf bifurcation illustrate complex behaviors of the stochastic Cournot duopoly game in the blockchain cloud services market.
Highlights
Growing business interest in blockchain has been triggering an enormous amount of research effort goes into blockchain cloud services technology, such as blockchain-enabled edge computation [1], blockchain-powered crowdsource [2], blockchain-based cloudlet management for multimedia workflow [3], cloud health resource sharing based blockchain technology [4], privacy-friendly platform for healthcare data [5], cloud-assisted secure eHealth systems via blockchain [6], trustworthy blockchain-based multi-cloud brokers [7], blockchain-based cloud data management [8]
A stochastic Hopf bifurcation occurs near the origin
We present a Cournot duopoly game driven by Brownian motion in a blockchain services market
Summary
Growing business interest in blockchain has been triggering an enormous amount of research effort goes into blockchain cloud services technology, such as blockchain-enabled edge computation [1], blockchain-powered crowdsource [2], blockchain-based cloudlet management for multimedia workflow [3], cloud health resource sharing based blockchain technology [4], privacy-friendly platform for healthcare data [5], cloud-assisted secure eHealth systems via blockchain [6], trustworthy blockchain-based multi-cloud brokers [7], blockchain-based cloud data management [8]. There are many threats, such as unauthorized data disclosure, access and modification, inconsistencies and errors Such as block cloud platform, a service system with reliable computing power and high applicability must be created. Wang: Stability and Hopf Bifurcation of a Stochastic Cournot Duopoly Game deploy and apply and pay more attention to value-added services that can create higher added value. We can employ a duopoly game to depict the character of a blockchain cloud services market. Mentioned-above duopoly games are based on assumptions of deterministic environment As such an industry with the characteristics of innovation elements intensive, high investment risks, long investment cycle, and intense competition, the blockchain cloud services market must face too much uncertainty.
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