scholarly journals Stability, Global Dynamics, and Social Welfare of a Two-Stage Game under R&D Spillovers

2021 ◽  
Vol 2021 ◽  
pp. 1-19
Author(s):  
Wei Zhou ◽  
Tong Chu ◽  
Xiao-Xue Wang

In this paper, a repeated two-stage oligopoly game where two boundedly rational firms produce homogeneous product and apply gradient adjustment mechanism to decide their individual R&D investment is considered. Results concerning the equilibrium in the built model and the stability are discussed. The effects of system parameters on the complex dynamical behaviors of the built game are analyzed. We find that the system can lose stability through a flip bifurcation or a Neimark–Sacker bifurcation. In addition, the coexistence of multiattractors is also discussed using the so-called basin of attraction. At the end of this research, the social welfare of the given duopoly game is also studied.

1972 ◽  
Vol 37 (2) ◽  
pp. 242-251 ◽  
Author(s):  
Eleanor S. Wertheim

A quantitative, multidimensional approach to clinical diagnosis and management of stuttering is proposed. This approach would involve (1) the measurement of stuttering behavior under a number of contrived social conditions relevant to the given population of stutterers; (2) a method of measurement which provides separate quantitative estimates of the qualitative aspects of the stuttering pattern, for example, total frequency of disfluencies as well as incidence of hard blocking; (3) an analysis of the quantitative relationship between the social context and the qualitative pattern of stuttering and its severity; (4) a diagnostic formulation of “stutterogenic” situations for a given individual and of the stability and severity of the stuttering pattern across the total range of situations; and (5) a management plan geared to these diagnostic considerations. The approach is illustrated, using the findings of an experimental study primarily designed to test the author’s recently postulated bioadaptive theory of stuttering. Further research is needed to refine the proposed diagnostic approach and to establish its clinical validity and usefulness.


Author(s):  
Yi-Ling Cheng ◽  
Shin-Kun Peng ◽  
Takatoshi Tabuchi

This paper investigates a two-stage competition in a vertically differentiated industry, where each firm produces an arbitrary number of similar qualities and sells them to heterogeneous consumers. The number of products, qualities, prices, and the extent of the market coverage are endogenously determined. We show that when unit costs of quality improvement are increasing and quadratic, each firm has an incentive to provide a disconnected set of similar qualities approximating a continuum. The finding contrasts sharply with the single-quality outcome when the market coverage is exogenously determined. We also show that allowing for multiple qualities intensifies the level of competition, lowers the profit of each firm, and raises the consumer surplus and the social welfare in comparison to the single-quality duopoly.


Author(s):  
Jiehua Chen ◽  
Sanjukta Roy ◽  
Manuel Sorge

We study generalizations of stable matching in which agents may be matched fractionally; this models time-sharing assignments. We focus on the so-called ordinal stability and cardinal stability, and investigate the computational complexity of finding an ordinally stable or cardinally stable fractional matching which either maximizes the social welfare (i.e., the overall utilities of the agents) or the number of fully matched agents (i.e., agents whose matching values sum up to one). We complete the complexity classification of both optimization problems for both ordinal stability and cardinal stability, distinguishing between the marriage (bipartite) and roommates (non-bipartite) cases and the presence or absence of ties in the preferences. In particular, we prove a surprising result that finding a cardinally stable fractional matching with maximum social welfare is NP-hard even for the marriage case without ties. This answers an open question and exemplifies a rare variant of stable marriage that remains hard for preferences without ties. We also complete the picture of the relations of the stability notions and derive structural properties.


Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-19
Author(s):  
Wei Zhou ◽  
Jie Zhou ◽  
Tong Chu ◽  
Hui Li

In this paper, a dynamic two-stage Cournot duopoly game with R&D efforts is built. Then, the local stability of the equilibrium points are discussed, and the stability condition of the Nash equilibrium point is also deduced through Jury criterion. The complex dynamical behaviors of the built model are investigated by numerical simulations. We found that the unique route to chaos is flip bifurcation, and the increase of adjusting speed will cause the system to lose stability and produce more complex dynamic behavior. In addition, we also found the phenomenon of multistability in the given model. Several kinds of coexistence of attractors are shown. In particular, we found that boundary attractors can coexist with internal attractors, which also aggravates the complexity of the system. At last, the chaotic state in the built system has been successfully controlled.


wisdom ◽  
2020 ◽  
Vol 15 (2) ◽  
pp. 107-113
Author(s):  
Gegham HOVHANNISYAN

The article covers the manifestations and peculiarities of the ideology of socialism in the social-political life of Armenia at the end of the 19th century and the beginning of the 20th century. General characteristics, aims and directions of activity of the political organizations functioning in the Armenian reality within the given time-period, whose program documents feature the ideology of socialism to one degree or another, are given (Hunchakian Party, Dashnaktsutyun, Armenian Social-democrats, Specifics, Socialists-revolutionaries). The specific peculiarities of the national-political life of Armenia in the given time-period and their impact on the ideology of political forces are introduced.


Author(s):  
Ali Hussein Kadhim Alesammi

Since 2010 Middle East have many events or what they call "Arab spring events" which it result of overthrow governments and the rise of new political groups, all of this elements was resulting of many international and regional activities and making new regional and international axles, as well as the intersections of the different regional interests, therefore this research will try to study the stability and instability in the region as an independent variable not according to the neorealism or neoliberalism theories, but according to the constructivism theory which it base their assumptions on:  "In the international relations the non-physical structures of international interactions are determined by the identities of the players, which in turn determine the interests that determine the behavior of international players." So the research questions are: 1-What is the identity policy and haw affect in international relations? 2-How the social construct affect in international relations? 3-How the elite's identities for the main actors in the Middle East affect in the regional axles?  


2019 ◽  
Vol 2 (2) ◽  
pp. 54-64
Author(s):  
Ali Zurapov

In conditions of market competition, the fundamental goal of any commercial organization is to obtain the greatest profit, which directly depends on the amount of income received and expenses incurred. Current paper discuses  about main source of development of the material and technical base of the enterprise, replenishment of its own working capital, ensuring the social needs of the companies. Main objectivity is income factor in the stability of the existence and progress of the monopoly companies. In this regard, the management of the income of the organization is currently quite an urgent task for every giant entrepreneur. The article reveals the essence, purpose, objectives and measures in the field of enterprise revenue management. On the example of a particular enterprise, a dynamic and structural analysis of its revenues is carried out.


Author(s):  
Daniella Mushka ◽  
Yeva Erfan

This scientific article considers all aspects, modern importance and growing role of the social media marketing and advertisement in the general spectrum of marketing activity for developed and developing brands. Investigational actuality and basic directions of application of all spectrum of instruments of social networks for the sake of advancement of product and the processes of forming perception of trade mark and forming the image of brand are analyzed by the authors of the article. The given scientific article highlights the most popular trends and patterns of goods and trademarks’ promotion in the world in the context of updating the concept of advertising on social networks. The bigger and more engaged your target audience is on social media networks (Instagram, Facebook, Twitter, YouTube etc), the easier it will be for you to achieve every other marketing or business goal. The importance of social media marketing’s assistance in attracting new potential clients and customers to the company is also considered in the given article. Besides that, the authors of the article list and analyse wide spectrum of basic trends considering promotion and advertising in 2019 among the well-known brands. In addition to this all, the list of the most successful publicity advertisement campaigns of this year and brands which were promoted with their assistance are listed and analysed. In the context of the study, it shows up that advertising campaigns play a significant role not only in reaching sales but also in generating overall customer loyalty to the brand. This makes it possible to argue that the most reputable brands should have an important social goal that will be positively accepted by society and target audience in addition to the high quality and usability of the products or services. Social networking is the easiest way to see the social response to your promotion and lead to an instant purchase. Therefore, relying on the experience of the already well-known multinational and transnational corporations, social media marketing should take a significant share of the overall promotion of the company. The connection between the brand and potential customer should be built on the emotions that accompany consumers when viewing ads and using products. This scientific article eventually declares conclusions and prognoses in relation to subsequent development of these instruments and platforms for advancement and branding of small and large enterprises in future. It states that emotional connection between person and brand is much more effective for the company than an expensive ad.


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