scholarly journals A Study of How the Watts-Strogatz Model Relates to an Economic System’s Utility

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Lunhan Luo ◽  
Jianan Fang
Keyword(s):  
Growth Rate ◽  
Economic System ◽  
Group Size ◽  
System Performance ◽  
Small World ◽  
System Structure ◽  
Equal Size ◽  
Small World Networks ◽  
Growth Ratio ◽  
Size Number

Watts-Strogatz model is a main mechanism to construct the small-world networks. It is widely used in the simulations of small-world featured systems including economic system. Formally, the model contains a parameters set including three variables representing group size, number of neighbors, and rewiring probability. This paper discusses how the parameters set relates to the economic system performance which is utility growth rate. In conclusion, it is found that, regardless of the group size and rewiring probability, 2 to 18 neighbors can help the economic system reach the highest utility growth rate. Furthermore, given the range of neighbors and group size of a Watts-Strogatz model based system, the range of its edges can be calculated too. By examining the containment relationship between that range and the edge number of an actual equal-size economic system, we could know whether the system structure has redundant edges or can achieve the highest utility growth ratio.

scholarly journals A Discussion of the Favorable Factors for the Economic System’s Utility Growth Rate

2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
Lunhan Luo ◽  
Jianan Fang
Keyword(s):  
Growth Rate ◽  
Utility Function ◽  
Group Size ◽  
Growth Rates ◽  
Small World ◽  
Economic Systems ◽  
Network Structures ◽  
Small World Network ◽  
Proper Volume

Some virtual economic systems are constructed. The agents in the systems are linked crossover by different network structures and endowed with goods and the same symmetric Cobb-Douglas utility function. Their Cobb-Douglas utility growth rates (UGR) are compared with each other after the systems reach their eventual equilibriums. We try to discover how the network structures and how the endowments affect the UGR. Furthermore, the possible factors including group size, trade sequence, turnover, and number of trades are taken into account. Some but not all of the factors listed above may impact the UGR. The aim of this paper is to select the effective ones and try to improve the UGR by manipulating these factors. We discovered that the small-world network surpasses other networks to achieve the highest UGR. Besides, another way to improve UGR is to endow the agents with proper volume of goods.

Networks

2018 ◽  
Author(s):  
Stefan Thurner ◽  
Rudolf Hanel ◽  
Peter Klimekl
Keyword(s):  
Complex Systems ◽  
Complex Networks ◽  
Phase Diagrams ◽  
Community Detection ◽  
Network Science ◽  
Small World ◽  
Small World Networks ◽  
Multilayer Networks ◽  
Basic Vocabulary

Understanding the interactions between the components of a system is key to understanding it. In complex systems, interactions are usually not uniform, not isotropic and not homogeneous: each interaction can be specific between elements.Networks are a tool for keeping track of who is interacting with whom, at what strength, when, and in what way. Networks are essential for understanding of the co-evolution and phase diagrams of complex systems. Here we provide a self-contained introduction to the field of network science. We introduce ways of representing and handle networks mathematically and introduce the basic vocabulary and definitions. The notions of random- and complex networks are reviewed as well as the notions of small world networks, simple preferentially grown networks, community detection, and generalized multilayer networks.

scholarly journals Multifractal analysis of eigenvectors of small-world networks

2021 ◽  
Vol 144 ◽  
pp. 110745
Author(s):  
Ankit Mishra ◽  
Jayendra N. Bandyopadhyay ◽  
Sarika Jalan
Keyword(s):  
Multifractal Analysis ◽  
Small World ◽  
Small World Networks

scholarly journals Dynamic rewiring in small world networks

2005 ◽  
Vol 72 (6) ◽  
Author(s):  
J. P. L. Hatchett ◽  
N. S. Skantzos ◽  
T. Nikoletopoulos
Keyword(s):  
Small World ◽  
Small World Networks
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