A Mathematical Foundation for Stochastic Opinion Dynamics

2019 ◽  
Vol 6 (1) ◽  
pp. 20-42
Author(s):  
Luis E. Castro ◽  
Nazrul I. Shaikh
Keyword(s):  
Probability Distribution ◽  
Stability Region ◽  
Opinion Dynamics ◽  
Mathematical Foundation ◽  
Dynamics Model ◽  
Text Data ◽  
Online Systems ◽  
Point Object ◽  
The Stability ◽  
The Impact

This article presents a stochastic opinion dynamics model where (a) the opinion of each agent in a network is modeled as a probability distribution as against a point object, (b) consensus is defined as the stability region of the ensuing set of stochastic difference equations, and (c) compromise solutions can be derived between agents who don't have a consensus. The model is well suited for tracking opinion dynamics over large online systems such as Twitter and Yelp where opinions need to be extracted from the user-generated text data. Theoretical conditions for the existence of consensus and the impact that stubborn agents have on opinion dynamics are also presented.

Evolution of employee opinion in a crowdsourcing logistics company: a catastrophe-embedded RA model

SIMULATION ◽  
2021 ◽  
pp. 003754972110612
Author(s):  
Yi Song ◽  
Bin Hu ◽  
Heqiang Xue
Keyword(s):  
Employee Turnover ◽  
Model Simulation ◽  
Sudden Change ◽  
Opinion Dynamics ◽  
Employee Behavior ◽  
Text Data ◽  
Logistics Industry ◽  
Logistics Company ◽  
Small Change ◽  
The Impact

Crowdsourcing logistics is a business model for the modern logistics industry. However, the employee behavior of crowdsourcing logistics remains unstable due to the dynamic nature of crowdsourcing logistics. With a small change in environmental factors, e.g., the delivery price, employee opinion may show frequent polarization or reversal that can lead to employee turnover. To explore the mechanism of sudden change in employee opinion and turnover, a cusp catastrophe model is embedded into the relative agreement (RA) model of opinion dynamics to form a catastrophe-embedded RA model. Text data about employee opinion of the crowdsourcing logistics company DaDa are collected for modeling and validation of the catastrophe-embedded RA model. Simulation experiments explore the impact of network structure and delivery price on employee opinion evolution and employee turnover. The catastrophe theory–embedded RA model extends the application of the RA model in the field of opinion dynamics with frequent polarization or reversal.

The chaotic dynamics of a quantum Cournot duopoly game with bounded rationality

2020 ◽  
Vol 18 (06) ◽  
pp. 2050029
Author(s):  
Xinli Zhang ◽  
Deshan Sun ◽  
Wei Jiang
Keyword(s):  
Quantum Entanglement ◽  
Stability Region ◽  
Chaotic Dynamics ◽  
Initial Conditions ◽  
Equilibrium Points ◽  
Largest Lyapunov Exponent ◽  
Cournot Duopoly ◽  
The Stability ◽  
The Impact ◽  
Rational Players

This paper analyzes the chaotic dynamics of a quantum Cournot duopoly game with bounded rational players by applying quantum game theory. We investigate the impact of quantum entanglement on the stability of the quantum Nash equilibrium points and chaotic dynamics behaviors of the system. The result shows that the stability region decreases with the quantum entanglement increasing. The adjustment speeds of bounded rational players can lead to chaotic behaviors, and quantum entanglement accelerates the bifurcation and chaos of the system. Numerical simulations demonstrate the chaotic features via stability region, bifurcation, largest Lyapunov exponent, strange attractors, sensitivity to initial conditions and fractal dimensions.

scholarly journals SYSTEM DYNAMICS MODEL BASED ON EVOLUTIONARY GAME THEORY FOR QUALITY SUPERVISION AMONG CONSTRUCTION STAKEHOLDERS

2018 ◽  
Vol 24 (4) ◽  
pp. 318-330 ◽  
Author(s):  
Shengyu Guo ◽  
Pan Zhang ◽  
Jianying Yang
Keyword(s):  
Game Theory ◽  
System Dynamics ◽  
Evolutionary Game Theory ◽  
Evolutionary Game ◽  
System Dynamics Model ◽  
Dynamics Model ◽  
Model Based ◽  
Proposed Model ◽  
The Stability ◽  
The Impact

To address the gap, that is, few studies have explored the influence of the participants’ interactions with one another during construction quality supervision, this paper proposes a system dynamics model based on evolutionary game theory to describe the complex and dynamic interactions among tripartite stakeholders in China, including the project owner (PO), construction supervising engineer (CSE), and construction contractor (CC). First, the replicated dynamic equation set is established in terms of expense targets. Second, the equilibrium solutions of the equation set are obtained to test strategy options. The trends of system fluctuations caused by penalty and reward changes are also analyzed. Finally, the stability of the proposed model is improved by integrating a dynamic penalty–reward scenario into the evolutionary strategy of the PO. Simulation results show that: 1) the evolutionary stable strategy does not exist in initial interactions, 2) the degrees of penalty and reward considerably affect the CC’s rate variable, and 3) the dynamic penalty–reward scenario could effectively improve the stability of the proposed model. The unsteadiness of the quality supervision system and the stability control scenario could help in understanding the impact of interactions among stakeholders and provide suggestions for optimizing quality supervision procedures.

scholarly journals A Weighted Balance Model of Opinion Hyperpolarization

2019 ◽  
Author(s):  
Simon Schweighofer ◽  
Frank Schweitzer ◽  
David Garcia
Keyword(s):  
Empirical Data ◽  
Opinion Dynamics ◽  
Balance Model ◽  
Balance Theory ◽  
Opinion Formation ◽  
Dynamics Model ◽  
Policy Issues ◽  
Cognitive Balance ◽  
The Stability ◽  
First Time

Polarization is threatening the stability of democratic societies. Until now, polarization research has mainly focused on opinion extremeness, disregarding the correlation between different policy issues. We explain the emergence of hyperpolarization, i.e., the combination of extremeness and correlation between issues, by developing Weighted Balance Theory (WBT), a new theory of opinion formation. WBT extends Heider's cognitive balance theory to encompass multiple weighted attitudes. We validate WBT on empirical data from the 2016 National Election Survey. Furthermore, we develop an opinion dynamics model based on WBT, which, for the first time, is able to generate hyperpolarization and to explain the link between affective and opinion polarization. In addition, our theory encompasses other phenomena of opinion dynamics, including mono-polarization and backfire effects.

Analyzing the Chinese Telecommunication Industry Based on Oligopoly Game and Dynamic Evolution

2021 ◽  
Vol 31 (14) ◽  
Author(s):  
Junhai Ma ◽  
Naicong Ning ◽  
Tiantong Xu
Keyword(s):  
Stability Region ◽  
Positive Impact ◽  
Dynamic Game ◽  
Telecommunications Industry ◽  
Service Level ◽  
Product Price ◽  
Competition Intensity ◽  
Factors Affecting ◽  
The Stability ◽  
The Impact

In this paper, we consider the impact of the product price, service level and delay parameters on the operation of enterprises in the current Chinese telecommunications industry. A three-oligarch game model is established, where system parameters are taken as important factors affecting the development of the involved companies. By improving their service levels, the three oligarchs could plunder the market of each other, but also enhance the reputation of the industry, thus bringing more communication data usage. In the paper, firstly we analyze the static Nash equilibrium, especially the impacts of competition intensity and service cost coefficiency. Then, we analyze the stability and evolution behavior of the system under the dynamic game. We found that the increase of competition intensity and cost coefficiency has adverse effects on the stability region. Finally, we show that a delay decision of a single company has a positive impact on its own profits, but not conducive to its own stability region and the profits of the opposing oligarchs, nor to the total profit.

Dietary Vitamin and Stability of Oral Anticoagulation: Proposal of a Diet with Constant Vitamin K1 Content

1997 ◽  
Vol 77 (03) ◽  
pp. 504-509 ◽  
Author(s):  
Sarah L Booth ◽  
Jacqueline M Charnley ◽  
James A Sadowski ◽  
Edward Saltzman ◽  
Edwin G Bovill ◽  
...  
Keyword(s):  
Dietary Intake ◽  
Vitamin K ◽  
High Performance ◽  
Case Reports ◽  
Food Composition ◽  
Dietary Guidelines ◽  
Dietary Vitamin ◽  
Vitamin K1 ◽  
The Stability ◽  
The Impact

SummaryCase reports cited in Medline or Biological Abstracts (1966-1996) were reviewed to evaluate the impact of vitamin K1 dietary intake on the stability of anticoagulant control in patients using coumarin derivatives. Reported nutrient-drug interactions cannot always be explained by the vitamin K1 content of the food items. However, metabolic data indicate that a consistent dietary intake of vitamin K is important to attain a daily equilibrium in vitamin K status. We report a diet that provides a stable intake of vitamin K1, equivalent to the current U.S. Recommended Dietary Allowance, using food composition data derived from high-performance liquid chromatography. Inconsistencies in the published literature indicate that prospective clinical studies should be undertaken to clarify the putative dietary vitamin K1-coumarin interaction. The dietary guidelines reported here may be used in such studies.

IMPACT OF GOVERNMENT DEBT ON FINANCIAL SECURITY OF UKRAINE

2017 ◽  
Author(s):  
Olena Pikaliuk ◽  
◽  
Dmitry Kovalenko ◽  
Keyword(s):  
Economic Development ◽  
Public Debt ◽  
Positive Impact ◽  
The State ◽  
Financial Security ◽  
State Budget ◽  
The Public ◽  
Debt Security ◽  
The Stability ◽  
The Impact

One of the main criteria for economic development is the size of the public debt and its dynamics. The article considers the impact of public debt on the financial security of Ukraine. The views of scientists on the essence of public debt and financial security of the state are substantiated. An analysis of the dynamics and structure of public debt of Ukraine for 2014-2019. It is proved that one of the main criteria for economic development is the size of public debt and its dynamics. State budget deficit, attracting and using loans to cover it have led to the formation and significant growth of public debt in Ukraine. The volume of public debt indicates an increase in the debt security of the state, which is a component of financial security. Therefore, the issue of the impact of public debt on the financial security of Ukraine is becoming increasingly relevant. The constant growth and large amounts of debt make it necessary to study it, which will have a positive impact on economic processes that will ensure the stability of the financial system and enhance its security.

Influence of internal and external risks on sustainability of financial system of Аltai krai

2018 ◽  
Vol 35 (4) ◽  
pp. 133-136
Author(s):  
R. N. Ibragimov
Keyword(s):  
Sustainable Development ◽  
Financial Stability ◽  
Management Strategy ◽  
Financial System ◽  
Risk Management Strategy ◽  
The Sustainable Development ◽  
The Stability ◽  
The Impact

The article examines the impact of internal and external risks on the stability of the financial system of the Altai Territory. Classification of internal and external risks of decline, affecting the sustainable development of the financial system, is presented. A risk management strategy is proposed that will allow monitoring of risks, thereby these measures will help reduce the loss of financial stability and ensure the long-term development of the economy of the region.

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