scholarly journals Duopoly price competition with limited capacity

Author(s):  
A. Bërdëllima

AbstractWe study a variation of the duopoly model by Kreps and Scheinkman (1983). Firms limited by their capacity of production engage in a two stage game. In the first stage they commit to levels of production not exceeding their capacities which are then made common knowledge. In the second stage after production has taken place firms simultane- ously compete in prices. Solution of this sequential game shows that the unique Cournot equilibrium outcome as in Kreps and Scheinkman is not always guaranteed. However the Cournot outcome is still robust in the sense that given sufficiently large capacities this equilibrium holds. If capacities are sufficiently small, firms decide to produce at their full capacity and set a price which clears the market at the given level of output.

Entropy ◽  
2019 ◽  
Vol 21 (11) ◽  
pp. 1097 ◽  
Author(s):  
Piotr Frąckiewicz ◽  
Jakub Bilski

Playing the Cournot duopoly in the quantum domain can lead to the optimal strategy profile in the case of maximally correlated actions of the players. However, that result can be obtained if the fact that the players play the quantum game is common knowledge among the players. Our purpose is to determine reasonable game outcomes when players’ perceptions about what game is actually played are limited. To this end, we consider a collection consisting of the classical and quantum games that specifies how each player views the game and how each player views the other players’ perceptions of the game. We show that a slight change in how the players perceive the game may considerably affect the result of the game and, in the case of maximally correlated strategies, may vary from the inefficient Nash equilibrium outcome in the classical Cournot duopoly to the Pareto optimal outcome. We complete our work by investigating in the same way the Bertrand duopoly model.


2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
H. Gao ◽  
J. Hu ◽  
V. Mazalov ◽  
A. Shchiptsova ◽  
L. Song ◽  
...  

This paper addresses location-then-price competition in airline market as a two-stage game ofnplayers on the graph. Passenger’s demand distribution is described by multinomial logit model. Equilibrium in price game is computed through best response dynamics. We solve location game using backward induction, knowing that airlines will choose prices from equilibrium for the second-stage game. Some numerical results for airline market under consideration are presented.


2021 ◽  
Author(s):  
Mohammad Shehab ◽  
Laith Abualigah

Abstract Multi-Verse Optimizer (MVO) algorithm is one of the recent metaheuristic algorithms used to solve various problems in different fields. However, MVO suffers from a lack of diversity which may trapping of local minima, and premature convergence. This paper introduces two steps of improving the basic MVO algorithm. The first step using Opposition-based learning (OBL) in MVO, called OMVO. The OBL aids to speed up the searching and improving the learning technique for selecting a better generation of candidate solutions of basic MVO. The second stage, called OMVOD, combines the disturbance operator (DO) and OMVO to improve the consistency of the chosen solution by providing a chance to solve the given problem with a high fitness value and increase diversity. To test the performance of the proposed models, fifteen CEC 2015 benchmark functions problems, thirty CEC 2017 benchmark functions problems, and seven CEC 2011 real-world problems were used in both phases of the enhancement. The second step, known as OMVOD, incorporates the disruption operator (DO) and OMVO to improve the accuracy of the chosen solution by giving a chance to solve the given problem with a high fitness value while also increasing variety. Fifteen CEC 2015 benchmark functions problems, thirty CEC 2017 benchmark functions problems and seven CEC 2011 real-world problems were used in both phases of the upgrade to assess the accuracy of the proposed models.


Author(s):  
Josef Los ◽  
Jiří Fryč ◽  
Zdeněk Konrád

The method of drying maize for grain has been recently employed on a large scale in the Czech Republic not only thanks to new maize hybrids but also thanks to the existence of new models of drying plants. One of the new post-harvest lines is a plant in Lipoltice (mobile dryer installed in 2010, storage base in 2012) where basic operational measurements were made of the energy intensiveness of drying and operating parameters of the maize dryer were evaluated. The process of maize drying had two stages, i.e. pre-drying from the initial average grain humidity of 28.55% to 19.6% in the first stage, and the additional drying from 16.7% to a final storage grain humidity of 13.7%. Mean volumes of natural gas consumed per 1 t% for drying in the first and second stage amounted to 1.275 m3 and 1.56 m3, respectively. The total mean consumption of electric energy per 1 t% was calculated to be 1.372 kWh for the given configuration of the post-harvest line.


2019 ◽  
Vol 61 (2) ◽  
pp. 70-75
Author(s):  
O. V. Khodakova ◽  
Yuliya V. Evstaf’Eva

The patient is a principal part in market relationships in conditions of health care system reformation. The patient is a consumer of medical services provided with set of rights, including right to choice of medical organization and right to choice ofphysician. The implementation of the given rights is possible only in conditions of competition at medical services market. So, in present situation, maintenance and getting involvedflow of patients are actual tasks raised before medical organizations. At the present stage, the official Internet web-site of medical organization play the role of one of tools of non-price competition at the market of medical services. The availability of official web-site with information in concordance with approved requirements to its content and form of presentation is a commitment of medical organizations of all organizational and legal forms fixed at the legislative level. The main purpose of web-site is to support awareness ofpatients concerning all issues related to medical services receiving, including choice of medical organization. The openness and accessibility of information to patient is a criterion of quality of web-site of medical organization. The purpose of study is to evaluate content, informativeness, accessibility and practical significance of official web-sites of medical organizations. The article presents the results of complex studying of web-sites of medical organizations including comparative analysis of official web-sites of medical organizations of state and non-state forms ofproperty, sociological assessment of structural stuffing of official web-sites of medical organizations as a tool of informing population about medical care, expertise evaluation of informativeness, accessibility and functionality of official web-sites of medical organizations.


2016 ◽  
Vol 85 (2) ◽  
pp. 19-21
Author(s):  
Andrew Welton

While there are clear life-saving indications for Cesarean section (C-section), rates of this procedure have seen a continued rise without a concomitant improvement in maternal or neonatal outcomes. There is some evidence that outcomes may actually be worse for low-risk C-sections versus vaginal delivery. However, this is not necessarily common knowledge for healthcare providers, and therefore, their patients. Measures to safely reduce the C-section rate target management of labour arrest and specific indications for progression to C-section. In the active phase of the first stage of labour, C-section should be considered only in cases of failure to progress after 4 hours of adequate uterine contraction, or 6 hours of inadequate contraction. In the second stage of labour, expectant management of 3 hours of pushing in nulliparous women and 2 hours in multiparous women is safe and appropriate. Furthermore, manual rotation and operative vaginal delivery in the second stage are reasonable alternatives to C-section. Expectant management is also appropriate for certain non-reassuring fetal heart rate tracings. In post-dates pregnancies, induction of labour reduces both rates of C-section and neonatal mortality. Finally, evidence supports the use of external cephalic version in breech presentation as well as a more conservative approach to suspected macrosomia and multiple pregnancy. Taken together, these measures target the most common indications for progression to C-section and can allow us to safely reduce the C-section rate. Educating patients and physicians on the risks of the procedure and reasonable alternatives can improve outcomes for mothers and neonates.


Author(s):  
Sergio Amat ◽  
David Levin ◽  
Juan Ruiz-Álvarez

Abstract Given values of a piecewise smooth function $f$ on a square grid within a domain $[0,1]^d$, $d=2,3$, we look for a piecewise adaptive approximation to $f$. Standard approximation techniques achieve reduced approximation orders near the boundary of the domain and near curves of jump singularities of the function or its derivatives. The insight used here is that the behavior near the boundaries, or near a singularity curve, is fully characterized and identified by the values of certain differences of the data across the boundary and across the singularity curve. We refer to these values as the signature of $f$. In this paper, we aim at using these values in order to define the approximation. That is, we look for an approximation whose signature is matched to the signature of $f$. Given function data on a grid, assuming the function is piecewise smooth, first, the singularity structure of the function is identified. For example, in the two-dimensional case, we find an approximation to the curves separating between smooth segments of $f$. Secondly, simultaneously, we find the approximations to the different segments of $f$. A system of equations derived from the principle of matching the signature of the approximation and the function with respect to the given grid defines a first stage approximation. A second stage improved approximation is constructed using a global approximation to the error obtained in the first stage approximation.


Games ◽  
2020 ◽  
Vol 11 (1) ◽  
pp. 3 ◽  
Author(s):  
Achim Hagen ◽  
Pierre von Mouche ◽  
Hans-Peter Weikard

Coalition formation is often analysed in an almost non-cooperative way, as a two-stage game that consists of a first stage comprising membership actions and a second stage with physical actions, such as the provision of a public good. We formalised this widely used approach for the case where actions are simultaneous in each stage. Herein, we give special attention to the case of a symmetric physical game. Various theoretical results, in particular, for cartel games, are provided. As they are crucial, recent results on the uniqueness of coalitional equilibria of Cournot-like physical games are reconsidered. Various concrete examples are included. Finally, we discuss research strategies to obtain results about equilibrium coalition structures with abstract physical games in terms of qualitative properties of their primitives.


2019 ◽  
Vol 21 (1) ◽  
pp. 64-86
Author(s):  
Netanel Nissim ◽  
Aner Sela

We study an elimination tournament with four contestants, each of whom has either a high value of winning (a strong player) or a low value of winning (a weak player) and these values are common knowledge. Each pairwise match is modeled as an all-pay auction. The winners of the first stage (semifinal) compete in the second stage (final) for the first prize, while the losers of the first stage compete for the third prize. We examine whether or not the game for the third prize is profitable for the designer who wishes to maximize the total effort of the players. We demonstrate that if the players are asymmetric and there are at least two strong players, then there is always a seeding of the players such that the third place game is not profitable. On the other hand, if there are at least two weak players, then there is always a seeding of the players such that the third place game is profitable.


2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Hongwei Gao ◽  
Vladimir V. Mazalov ◽  
Juan Xue

The problem of choosing the optimal parameters of service by carriers in public transport passenger flows is considered. This problem is modeled as a two-stage game. At the first stage, the players (carriers) select the parameters of their service (the number and schedule of vehicles, etc.). At the second stage, the players announce the prices of service and the consumers choose an appropriate service. The Wardrop equilibrium is applied to the competition model with rational consumers preferring the carriers with minimum cost, where the cost of service includes the price and also the expected trip time. The equilibrium in the pricing game is found and the optimal parameters of service as a solution to a noncooperative game are determined. Some results of computer simulations are presented.


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