scholarly journals The Spontaneous Pricing Order in the Noncooperative Game of Monopolistic Manufacturer and Many Retailers

Author(s):  
Tieyan Si

We consider the collective pricing orders in a minimum supply chain that is composed of a monopolistic manufacturer and many retailers that belong to the same chain store firm. The retailers have the freedom to raise or lower the local price. The chain store firm sets up the commercial rules for local retail stores to maximize its total payoff. The monopolistic manufacturer firm controls the total quantity supplied for the market to achieve maximum benefits. We applied the two dimensional Ising model in statistical physics to map the collective distribution of microscopic strategy of local retailers into the macroscopic total payoff of the chain store firm. The local stores choose to raise the price or lower the price based their own mind when the supply in market surpasses the demand. When the supply in market is far less than the demand, the stores synchronously raise prices, even though a local store only have the incomplete information of their nearest neighboring supermarket. We find the critical equation for the balance point between the action of supplier and the action of chain store management based on game theory and statistical physics. The critical equation can identify the Nash equilibrium point of the non-cooperative game between the manufacturer and the chain-store seller, and reveal different levels of collective operations. This statistical physics method also holds for more complicate supply chains and economic systems.

2018 ◽  
pp. 14-18
Author(s):  
V. V. Artyushenko ◽  
A. V. Nikulin

To simulate echoes from the earth’s surface in the low flight mode, it is necessary to reproduce reliably the delayed reflected sounding signal of the radar in real time. For this, it is necessary to be able to calculate accurately and quickly the dependence of the distance to the object being measured from the angular position of the line of sight of the radar station. Obviously, the simplest expressions for calculating the range can be obtained for a segment or a plane. In the text of the article, analytical expressions for the calculation of range for two-dimensional and three-dimensional cases are obtained. Methods of statistical physics, vector algebra, and the theory of the radar of extended objects were used. Since the calculation of the dependence of the range of the object to the target from the angular position of the line of sight is carried out on the analytical expressions found in the paper, the result obtained is accurate, and due to the relative simplicity of the expressions obtained, the calculation does not require much time.


2014 ◽  
Vol 24 (01) ◽  
pp. 1430002 ◽  
Author(s):  
Selman Uguz ◽  
Uḡur Sahin ◽  
Hasan Akin ◽  
Irfan Siap

This paper studies the theoretical aspects of two-dimensional cellular automata (CAs), it classifies this family into subfamilies with respect to their visual behavior and presents an application to pseudo random number generation by hybridization of these subfamilies. Even though the basic construction of a cellular automaton is a discrete model, its macroscopic behavior at large evolution times and on large spatial scales can be a close approximation to a continuous system. Beyond some statistical properties, we consider geometrical and visual aspects of patterns generated by CA evolution. The present work focuses on the theory of two-dimensional CA with respect to uniform periodic, adiabatic and reflexive boundary CA (2D PB, AB and RB) conditions. In total, there are 512 linear rules over the binary field ℤ2for each boundary condition and the effects of these CA are studied on applications of image processing for self-replicating patterns. After establishing the representation matrices of 2D CA, these linear CA rules are classified into groups of nine and eight types according to their boundary conditions and the number of neighboring cells influencing the cells under consideration. All linear rules have been found to be rendering multiple self-replicating copies of a given image depending on these types. Multiple copies of any arbitrary image corresponding to CA find innumerable applications in real life situation, e.g. textile design, DNA genetics research, statistical physics, molecular self-assembly and artificial life, etc. We conclude by presenting a successful application for generating pseudo numbers to be used in cryptography by hybridization of these 2D CA subfamilies.


2021 ◽  
Vol 9 (1) ◽  
pp. 113-119
Author(s):  
Maksym Voichuk

The article analyzes scientific approaches to defining the concept of inclusive growth, its place, and its role in the structure of economic systems. Attention is paid to the participation of various researchers and international organizations in the formation of this concept. The practical as-pects of the implementation of the concept of “inclusive economic growth” are determined and the prospects for further research on this concept are outlined, in particular, in terms of different levels of the economy.


Author(s):  
Spyros A. Karamanos ◽  
Charis Eleftheriadis

The present paper examines the denting deformation of offshore pipelines and tubular members (D/t≤50) subjected to lateral (transverse) quasi-static loading in the presence of uniform external pressure. Particular emphasis is given on pressure effects on the ultimate lateral load of tubes and on their energy absorption capacity. Pipe segments are modeled with shell finite elements, accounting for geometric and material nonlinearities, and give very good predictions compared with test data from non-pressurized pipes. Lateral loading between two rigid plates, a two-dimensional case, is examined first. Three-dimensional case, are also analyzed, where the load is applied either through a pair of opposite wedge-shaped denting tools or a single spherical denting tool. Load-deflection curves for different levels of external pressure are presented, which indicate that pressure has significant influence on pipe response and strength. Finally, simplified analytical models are proposed for the two-dimensional and three-dimensional load configurations, which yield closed-form expressions, compare fairly well with the finite element results and illustrate some important features of pipeline response in a clear and elegant manner.


2013 ◽  
Vol 23 (12) ◽  
pp. 1350195 ◽  
Author(s):  
HUAGUANG GU

Two different bifurcation scenarios of spontaneous neural firing patterns with decreasing extracellular calcium concentrations were observed in the biological experiment on identical pacemakers when potassium concentrations were fixed at two different levels. Six typical experimental scenarios manifesting dynamics closely matching those previously simulated using the Hindmarsh–Rose model and Chay model are provided as representative examples. Bifurcation scenarios from period-1 bursting to period-1 spiking via a complex process and via a simple process, period-doubling bifurcation to chaos, period-adding bifurcation with chaos, and period-adding bifurcation with stochastic burstings were identified. The results not only reveal that an experimental neural pacemaker is capable of generating different bifurcation scenarios but also provide a basic framework for bifurcations in neural firing patterns in a two-dimensional parameter space.


Author(s):  
Alla Lysenko ◽  
◽  
Anastasiya Koryak ◽  

The aim of the study is to systematize scientific approaches to the interpretation of the concept of "economic potential", to prove the need for their conceptualization with the separation of resource-production, resource-strategic, production-strategic components and the formation of appropriate concepts on this basis. The article, based on a study of the approaches of scientists to the interpretation of the concept of "economic potential", found that the developed approaches have significant differences, and therefore there is a need for their conceptualization. Relevant concepts have been formed: resource-production, resource-strategic, production-strategic and resource-production-strategic. It is established that the resource-production concept provides a combination of economic resources and their optimal use with the ability to achieve maximum production. The resource-strategic concept involves the use of a set of resources in the process of solving problems for the future. Production and strategic concept involves the use of a set of elements with defined functions to ensure the production process and achieve strategic goals. The resource-production-strategic concept envisages the use of a set of economic resources and production opportunities to achieve the development goals of the business entity. It has been substantiated that the economic potential of the business entity is formed by two interrelated components: internal (resource-production, which reflects the potential of the business entity to produce goods (works, services)) and external (which characterizes the market). opportunities for the sale of such goods (works, services) to consumers and income). The formation of the resource-production-strategic concept in the interpretation of the concept of "economic potential" the authors put the classical approaches (production, marketing, resource), taking into account the concept of "economic potential" is defined as a set of resources and opportunities. relations can be used to the maximum in the process of solving strategic tasks. It is established that the prospect of further scientific developments in this direction is the study of structural components of economic potential and features of its formation and evaluation at different levels of economic systems.


2018 ◽  
pp. 210-215
Author(s):  
Yuliia Bui

Introduction. The features of social innovations classification are investigated. It allows them to be identified among the whole set of innovations in the social sphere of public systems. The approach is based on the differentiation between the main features that are characteristic for the given type of innovation. Purpose. The article aims to define the peculiarities of social innovations classification from a viewpoint of sustainable development for social and economic systems of different levels. Results. The main features of social innovations classification in terms of sustainable development have been described. The differentiation of social innovations into "deterministic" and "veritable" considering the basic peculiarities of social and economic systems development has been suggested. It has been specified that deterministic social innovations relating to innovation-oriented social and economic systems arise as the positive externals in the result of introducing technical, technological, economic, environmental and other innovations, thus, “veritable” social innovations are generated exceptionally for public development. The generation of such types of social innovation is characterized by the prospect of economic potential of the social and economic system.


2021 ◽  
Vol 15 (6) ◽  
pp. 46
Author(s):  
Deok-soo Cha ◽  
Kyoung-il Kim

There are many nonlinear dynamics in field of non-physical sciences, such as the food chain, economic systems, or engineering systems with the characteristics of closed or open-loop systems. The problems arising from this have been resolved by the outdated chaos theory in statistical physics based on the paradigm of logical thinking. However, it was founded by classical physicists, and it is imperfect and vague, moreover, very difficult for others. Therefore, we require a perfect systematic solution based on systems thinking, such as systems analytical methods in engineering science. Surprisingly, in 2021, a non-physicist, on behalf of a physicist, has successfully resolved the problems and achieved a new solution based on systems thinking through interdisciplinary research; moreover, it has been published. Unfortunately, most physicists do not welcome it because they have no experience and it is disadvantageous to them like the Copernican theory. In addition, they have no ability to evaluate the new solution because they do not know the analytic method. Nevertheless, non-physicists are greatly welcome it, thus, there is no problem in it. Hence, non-physicists will verify it using MATLAB or simulator and apply it to all science, on behalf of physicists. If so, non-physicists will have both a logical solution and a systematic solution for resolving nonlinear dynamics.


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