scholarly journals Dynamic Stackelberg duopoly with sticky prices and a myopic follower

2021 ◽  
Author(s):  
Katarzyna Kańska ◽  
Agnieszka Wiszniewska-Matyszkiel
Keyword(s):  
Information Structure ◽  
Time Horizon ◽  
Nash Equilibria ◽  
Open Loop ◽  
Comprehensive Analysis ◽  
Sticky Prices ◽  
Infinite Time ◽  
Feedback Information ◽  
Stackelberg Model ◽  
Stackelberg Duopoly

AbstractIn this paper, we study a model of a market with asymmetric information and sticky prices—the dynamic Stackelberg model with a myopic follower and infinite time horizon of Fujiwara ("Economics Bulletin" 12(12), 1–9 (2006)). We perform a comprehensive analysis of the equilibria instead of concentrating on the steady state only. We study both the equilibria for open loop and feedback information structure, which turn out to coincide, and we compare the results with the results for Cournot-Nash equilibria.

Unique Open Loop Nash Equilibria on the Infinite Time Horizon

2001 ◽  
Vol 34 (20) ◽  
pp. 29-34
Author(s):  
Gerhard Jank ◽  
Dirk Kremer ◽  
Gábor Kun
Keyword(s):  
Time Horizon ◽  
Nash Equilibria ◽  
Open Loop ◽  
Infinite Time ◽  
Infinite Time Horizon

scholarly journals A Dynamic Multi-Objective Duopoly Game with Capital Accumulation and Pollution

Mathematics ◽  
2021 ◽  
Vol 9 (16) ◽  
pp. 1983
Author(s):  
Bertrand Crettez ◽  
Naila Hayek ◽  
Peter M. Kort
Keyword(s):  
Information Structure ◽  
Capital Accumulation ◽  
Production Capacity ◽  
Open Loop ◽  
Feedback Nash Equilibrium ◽  
Feedback Information ◽  
Time Dynamic ◽  
Clean Environment ◽  
Time Differential ◽  
Dynamic Duopoly

This paper studies a discrete-time dynamic duopoly game with homogenous goods. Both firms have to decide on investment where investment increases production capacity so that they are able to put a larger quantity on the market. The downside, however, is that a larger quantity raises pollution. The firms have multiple objectives in the sense that each one maximizes the discounted profit stream and appreciates a clean environment as well. We obtain some surprising results. First, where it is known from the continuous-time differential game literature that firms invest more under a feedback information structure compared to an open-loop one, we detect scenarios where the opposite holds. Second, in a feedback Nash equilibrium, capital stock is more sensitive to environmental appreciation than in the open-loop case.

Titik Setimbang Nash pada Permainan Linear Kuadratik Non-kooperatif dengan Asumsi Keseluruhan Pemain dapat Menstabilkan Sistem

2017 ◽  
Vol 1 (2) ◽  
pp. 211-224
Author(s):  
Ezhari Asfa’ani
Keyword(s):  
Quadratic Differential ◽  
Information Structure ◽  
Nash Equilibria ◽  
Sufficient Conditions ◽  
Planning Horizon ◽  
Open Loop ◽  
Linear Quadratic ◽  
Linear Quadratic Differential Games ◽  
Necessary And Sufficient ◽  
Infinite Planning Horizon

We discuss about Nash equilibria for the linear quadratic differential game for an infinite planning horizon. We consider an open-loop information structure. In the standard literature this problem is solved under the assumption and provide both necessary and sufficient conditions for existence of Nash equilibria for this game under the assumption that the system as a whole is stabilizable.      Keywords: linear quadratic differential games, open-loop information structure

scholarly journals Nonlinear evolution problems with singular coefficients in the lower order terms

2021 ◽  
Vol 28 (4) ◽  
Author(s):  
Fernando Farroni ◽  
Luigi Greco ◽  
Gioconda Moscariello ◽  
Gabriella Zecca
Keyword(s):  
Lower Order ◽  
Time Horizon ◽  
Existence Result ◽  
Nonlinear Evolution ◽  
Order Term ◽  
Time Behavior ◽  
Infinite Time ◽  
Singular Coefficient ◽  
Singular Coefficients ◽  
Lower Order Terms

AbstractWe consider a Cauchy–Dirichlet problem for a quasilinear second order parabolic equation with lower order term driven by a singular coefficient. We establish an existence result to such a problem and we describe the time behavior of the solution in the case of the infinite–time horizon.

scholarly journals An inventory model for deteriorating items under time varying demand condition

2013 ◽  
Vol 8 (1) ◽  
pp. 1273-1278
Author(s):  
Srichandan Mishra ◽  
S.P. Mishra ◽  
N. Mishra ◽  
J. Panda
Keyword(s):  
Time Horizon ◽  
Cost Minimization ◽  
Inventory Model ◽  
Deteriorating Items ◽  
Time Varying ◽  
Infinite Time ◽  
Infinite Time Horizon ◽  
Demand Rate ◽  
Demand Condition ◽  
Varying Demand

In this paper we discuss the development of an inventory model for deteriorating items which investigates an instantaneous replenishment model for the items under cost minimization. A time varying type of demand rate with infinite time horizon, exponential deterioration and with shortage in considered. The result is illustrated with numerical example.

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