scholarly journals Complexity Analysis of a Cournot-Bertrand Duopoly Game Model with Limited Information

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Hongwu Wang ◽  
Junhai Ma

A Cournot-Bertrand mixed duopoly game model with limited information about the market and opponent is considered, where the market has linear demand and two firms have the same fixed marginal cost. The principles of decision-making are bounded rational. One firm chooses output and the other chooses price as decision variable, with the assumption that there is a certain degree of differentiation between the products offered by firms to avoid the whole market being occupied by the one that applies a lower price. The existence of Nash equilibrium point and its local stability of the game are investigated. The complex dynamics, such as bifurcation scenarios and route to chaos, are displayed using parameter basin plots by numerical experiment. The influences of the parameters on the system performance are discussed from the perspective of economics.

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Junhai Ma ◽  
Hongwu Wang

A Cournot-Bertrand mixed duopoly game model is constructed. The existence and local stable region of the Nash equilibria point are investigated. Complex dynamic properties such as bifurcation and route to chaos are analyzed using parameter basin plots. The strange attractors are also studied when the system is in chaotic states. Furthermore, considering the memory of the market, a delayed Cournot-Bertrand mixed model is considered and the results show that the delayed system has the same Nash equilibrium and has a higher chance of reaching steady states or cycles than the model without delay. So making full use of the historical data can improve the system’s stability.


2017 ◽  
Vol 2017 ◽  
pp. 1-13 ◽  
Author(s):  
Hongliang Tu ◽  
Xueli Zhan ◽  
Xiaobing Mao

We study a dynamic research and development two-stage input competition game model in the Bertrand duopoly oligopoly market with spillover effects on cost reduction. We investigate the stability of the Nash equilibrium point and local stable conditions and stability region of the Nash equilibrium point by the bifurcation theory. The complex dynamic behaviors of the system are shown by numerical simulations. It is demonstrated that chaos occurs for a range of managerial policies, and the associated unpredictability is solely due to the dynamics of the interaction. We show that the straight line stabilization method is the appropriate management measure to control the chaos.


2018 ◽  
Author(s):  
Stefania Vai ◽  
Andrea Brunelli ◽  
Alessandra Modi ◽  
Francesca Tassi ◽  
Chiara Vergata ◽  
...  

AbstractFrom the first century AD, Europe has been interested by population movements, commonly known as Barbarian migrations. Among these processes, the one involving the Longobard culture interested a vast region, but its dynamics and demographic impact remains largely unknown. Here we report 87 new complete mitochondrial sequences coming from nine early-medieval cemeteries located along the area interested by the Longobard migration (Czech Republic, Hungary and Italy). From the same locations, we sampled necropolises characterized by cultural markers associated with the Longobard culture (LC) and coeval burials where no such markers were found (NLC). Population genetics analysis and ABC modeling highlighted a similarity between LC individuals, as reflected by a certain degree of genetic continuity between these groups, that reached 70% among Hungary and Italy. Models postulating a contact between LC and NLC communities received also high support, indicating a complex dynamics of admixture in medieval Europe.


2020 ◽  
Author(s):  
Xavier Couvelard ◽  
Christophe Messager ◽  
Pierrick Penven ◽  
Phillipe Lattes

Abstract The oceanic circulation south of Africa is characterized by a complex dynamics with a strong variability due to the presence of the Agulhas current and numerous eddies. The area of interest of this paper, is also the location of several natural gas fields under seafloor which are targeted for drilling and exploitation.The complex and powerful ocean currents induce significant issues for ship operations at the surface as well as under the surface for deep sea operations. Therefore, the knowledge of the state of the currents and the ability to forecast them in a realistic manner could greatly enforce the safety of various marine operation. Following this objective an array of HF radar systems was deployed to allow a detailed knowledge of the Agulhas currents and its associated eddy activity. It is shown in this study that 4DVAR assimilation of HF radar allow to represent the surface circulation more realistically. Two kind of experiments have been performed, a one-month analysis and two days forecast. The one-month 4DVAR experiment have been compared to geostrophic currents issued from altimeters and highlight an important improvement of the geostrophic currents. Furthermore, despite the restricted size of the area covered with HF radar, we show that the solution is improved almost in the whole domain, mainly upstream and downstream of the HF radar's covered area. We also show that while benefits of the assimilation on the surface current intensity is significantly reduced in the first 6 hours of the forecast, the correction in direction persists after 48 hours.


The Closet ◽  
2020 ◽  
pp. 114-147
Author(s):  
Danielle Bobker

This chapter points out, according to Anthony Hamilton and Jonathan Swift, how closets can still represent the highly circumscribed sociability associated with the face-to-face exchange of handwritten manuscripts. It talks about the hundreds of books that are designated as closets or cabinets that had been published in Britain by the end of the eighteenth century. As the authors and editors of these printed closets and cabinets nervously underscored their own close connections to courtly closets, prayer closets, and elite cabinets of curiosity, they implicitly positioned their readers as illegitimate intruders or spies. The chapter also reviews the complex dynamics of partial inclusion that are directly addressed in a particularly self-reflexive instance. It emphasizes that the one-way mode of visual intimacy channeled the excitement and social disorientation that accompanied the increasing accessibility of knowledge in the eighteenth century.


2008 ◽  
Vol 43 (1) ◽  
pp. 11-22 ◽  
Author(s):  
Rocio Aranda Rodriguez ◽  
Boniface Koudjonou ◽  
Brian Jay ◽  
Guy L. LeBel ◽  
Frank M. Benoit

Abstract A study was initiated to determine the presence of organic disinfection by-products (DBPs) in drinking water treated with chlorine dioxide (ClO2). One potential advantage for the use of ClO2 as a disinfectant is the reduced formation of organic DBPs. Generally, water treated with ClO2 produces chlorite and chlorate ions, but there is limited information regarding the presence of halogenated organic DBPs. Eight systems that use chlorine dioxide as part of the water disinfection process were investigated. All systems in this study applied chlorine as a primary or secondary disinfectant in addition to ClO2. To evaluate seasonal and spatial variations, water samples were collected during cold water (February to March 2003) and warm water (July to August 2003) months at five sites for each system: raw water (R, before treatment), treated water (T, after treatment but before distribution), and three points along the same distribution line (D1, D2, D3). Sampling and analysis were conducted according to established protocols. A suite of 27 organic DBPs including haloacetic acids (HAA), trihalomethanes (THM), haloacetonitriles (HAN), haloketones, haloacetaldehydes (HA), chloropicrin, and cyanogen chloride were examined. In addition, the concentration of oxyhalides (chlorite and chlorate ions) and auxiliary parameters were also determined. Chlorite was found in treated (T) and distributed (Dx) waters. The chlorite ion levels decreased along the distribution system (T > D1 > D2 > D3). At T sites, the levels ranged from 10 to 870 µg/L (winter), and from 300 to 1,600 µg/L (summer). Chlorite was not found in treated or distributed water in the one system that used ozone. Chlorate ion levels ranged from 20 to 310 µg/L (winter), and 80 to 318 µg/L (summer). Chlorate levels remained relatively constant throughout the distribution system. THM and eight HAA (HAA8) accounted for approximately 85% of the total DBPs (wt/wt) analyzed, followed by total HA (up to 7%) and HAN (3%). THM in distributed water were found at concentrations between 1.8 and 30.6 µg/L (winter), and 3.3 and 93.6 µg/L (summer). For HAA8, the levels ranged from 13 to 52 µg/L (winter), and 16 to 111 µg/L (summer). Chloral hydrate ranged from 0.2 to 5.2 µg/L (winter), and 0.4 to 12.2 µg/L (summer). The temporal and spatial variations observed in previous studies were confirmed in the current study as well.


2020 ◽  
Vol 12 (12) ◽  
pp. 4818 ◽  
Author(s):  
Daphne Ngar-yin Mah ◽  
Darren Man-wai Cheung

The complex dynamics between technological niches and regime “lock-in” are critical in determining the pace and outcomes of energy transitions. The socio-technical transitions literature has received growing scholarly attention, but it lacks consideration of the broader political and economic contexts. This paper aims to advance understanding of socio-technical transitions by conceptualizing niche–regime dynamics from a political economic perspective, with reference to a case study of solar in Seoul. Based on in-depth face-to-face interviews with 18 key stakeholders, we have three findings. Firstly, the politico-economic contexts have created an embedded environment in which five factors have a clear influence on niche–regime dynamics. Secondly, the politico-economic contexts created conducive conditions for niche developments on the one hand, but, on the other hand, have created inhibitive conditions that have cancelled out the positive forces and reinforced “lock-in”. Thirdly, the processes occur at multi-scalar levels: Community solar niches in Seoul are conditioned by the broader politico-economic contexts at city and national levels. We conclude that sufficient policy attention should be given to the political economy of a national energy system in order to create conducive conditions for community-led niches to realize the full potential that they could offer in energy transitions.


2013 ◽  
Vol 59 (No. 1) ◽  
pp. 1-7 ◽  
Author(s):  
S. Cabrera García ◽  
J.E. Imbert Tamayo ◽  
J. Carbonell-Olivares ◽  
Y. Pacheco Cabrera

This paper deals with the application of Game Theory with Perfect Information to an agricultural economics problem. The goal of this analysis is demonstrating the possibility of obtaining an equilibrium point, as proposed by Nash, in the case of an agricultural company that is considered together with its three sub-units in developing a game with perfect information. Production results in terms of several crops will be considered in this game, together with the necessary parameters to implement different linear programming problems. In the game with perfect information with the hierarchical structure established between the four considered players (a management center and three production units), a Nash equilibrium point is reached, since once the strategies of the rest of the players are known, if any of them would use a strategy different to the one proposed, their earnings would be less than the ones obtained by using the proposed strategies. When the four linear programming problems are solved, a particular case of equilibrium point is reached.


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