Bidding Learning Model and Its Analysis in Oligopoly Power Market with Linear Demand Function

2010 ◽  
Author(s):  
Xinhua Zhang ◽  
Wenjuan Li
Keyword(s):  
Demand Function ◽  
Power Market ◽  
Learning Model ◽  
Its Analysis ◽  
Linear Demand

Equilibrium Uniqueness in a Cournot Model with Demand Uncertainty

2006 ◽  
Vol 6 (1) ◽  
Author(s):  
Johan N.M. Lagerlöf
Keyword(s):  
Hazard Rate ◽  
Demand Uncertainty ◽  
Demand Function ◽  
Market Price ◽  
Cournot Model ◽  
Weak Assumption ◽  
Equilibrium Uniqueness ◽  
Linear Demand ◽  
Uniqueness Of Equilibrium ◽  
Monotone Hazard Rate

If Cournot oligopolists face uncertainty about the intercept of a linear demand function and if the realized market price must be non-negative, then expected demand becomes convex, which can create a multiplicity of equilibria. This note shows that if the distribution of the demand intercept has a monotone hazard rate and if another, rather weak, assumption is satisfied, then uniqueness of equilibrium is guaranteed.

scholarly journals Study of Inventory Model for Deteriorating Items With Exponential Demand Function

2016 ◽  
Vol 34 ◽  
pp. 89-100
Author(s):  
Manik Mondal ◽  
Mohammed Forhad Uddin ◽  
Kazi Anowar Hussain
Keyword(s):  
Opportunity Cost ◽  
Demand Function ◽  
Trade Credit ◽  
Unit Cost ◽  
Inventory Model ◽  
Deteriorating Items ◽  
Bisection Method ◽  
Credit Policy ◽  
Deterioration Rate ◽  
Linear Demand

This paper develops an inventory model for deteriorating items consisting the ordering cost, unit cost, opportunity cost, deterioration cost and shortage cost. In this inventory model instead of linear demand function nonlinear exponential function of time for deteriorating items with deterioration rate has been considered. The formulated model has numerically solved by bisection method. The effects of inflation and cash flow are also taken into account under a trade-credit policy of discount with time. In order to validate the model, numerical examples have been solved by bisection method using Matlab. Further, the sensitivity of different parameters is considered in order to estimate the cash flow.GANIT J. Bangladesh Math. Soc.Vol. 34 (2014) 89-100

scholarly journals Estimation of inventory for deteriorating items with non-linear demand considering discount and without discount policy

2016 ◽  
Vol 13 (2) ◽  
pp. 151-164
Author(s):  
Manik Mondol ◽  
M. Forhad Uddin ◽  
M. S. Hossain
Keyword(s):  
Cash Flow ◽  
Opportunity Cost ◽  
Demand Function ◽  
Trade Credit ◽  
Unit Cost ◽  
Inventory Model ◽  
Deteriorating Items ◽  
Credit Policy ◽  
Deterioration Rate ◽  
Linear Demand

This paper develops an inventory model for deteriorating items consisting the ordering cost, unit cost, opportunity cost, deterioration cost and shortage cost. In this inventory model instead of linear demand function nonlinear exponential function of time for deteriorating items with deterioration rate has been considered. The effects of inflation and cash flow are also taken into account under a trade-credit policy of discount and without discount with time. In order to validate the model, numerical examples have been solved by bisection method deploying Matlab.  Further, in order to estimate the cash flow the sensitivity of different parameters is considered.

scholarly journals Rational expectations and the Cournot-Theocharis problem

2006 ◽  
Vol 2006 ◽  
pp. 1-11 ◽  
Author(s):  
Tönu Puu
Keyword(s):  
Fixed Point ◽  
Rational Expectations ◽  
Demand Function ◽  
Dynamic Models ◽  
The Other ◽  
Cournot Oligopoly ◽  
Trivial Case ◽  
Oligopoly Model ◽  
Marginal Costs ◽  
Linear Demand

In dynamic models in economics, often “rational expectations” are assumed. These are meant to show that the agents can correctly foresee the result of their own and the other agents' actions. In this paper, it is shown that this cannot happen in a simple oligopoly model with a linear demand function and constant marginal costs. “Naive expectations,” that is, where each agent assumes the other agents to retain their previous period action, are shown to result in a 2-period cycle. However, adapting to the observed periodicity always doubles the actual resulting periodicity. In general, it is impossible for the agents to learn any periodicity except the trivial case of a fixed point. This makes the whole idea of “rational expectations” untenable in Cournot oligopoly models.

scholarly journals Analysis of Triopoly Game with Isoelastic Demand Function and Heterogeneous Players

2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
Hong-Xing Yao ◽  
Lian Shi ◽  
Hao Xi
Keyword(s):  
Demand Function ◽  
Initial Conditions ◽  
Equilibrium Points ◽  
Game Model ◽  
Bifurcation Diagrams ◽  
Heterogeneous Players ◽  
Sensitive Dependence ◽  
Linear Demand ◽  
Isoelastic Demand Function ◽  
Asymptotic Stability Conditions

We analyze a triopoly game model with fully heterogeneous players when the demand function is isoelastic. The three players were considered to be bounded rational, adaptive, and naïve. Existing equilibrium points and their locally asymptotic stability conditions are studied. Complexity of the dynamical system is examined by means of numerical simulations, such as period cycles, bifurcation diagrams, strange attractors and sensitive, dependence on initial conditions. This paper extends the result of Tramontana (2010) who considered a heterogeneous duopoly with isoelastic demand function. Comparisons with respect to the heterogeneous triopoly model of Elabbasy et al. (2009) assuming linear demand function are performed.

scholarly journals Pricing Decision under Dual-Channel Structure considering Fairness and Free-Riding Behavior

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Yongmei Liu ◽  
Chunjie Ding ◽  
Chen Fan ◽  
Xiaohong Chen
Keyword(s):  
Demand Function ◽  
Free Riding ◽  
Channel Structure ◽  
Service Levels ◽  
Dual Channel ◽  
Pricing Decision ◽  
Online Channel ◽  
Linear Demand ◽  
And Performance ◽  
Dual Channel Supply Chain

Under dual-channel structure, the free-riding behavior based on different service levels between online channel and offline channel cannot be avoided, which would lead to channel unfairness. This study implies that the dual-channel supply chain is built up by online channel controlled by manufacturer and traditional channel controlled by retailer, respectively. Under this channel structure, we rebuild the linear demand function considering free-riding behavior and modify the pricing model based on channel fairness. Then the influences of fair factor and free-riding behavior on manufacturer and retailer pricing and performance are discussed. Finally, we propose some numerical analysis to provide some valuable recommendations for manufacturer and retailer improving channel management performance.

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