scholarly journals Bi-level optimal toll design problem solved by the inverse Stackelberg games approach

2006 ◽  
Author(s):  
K. Staňková ◽  
G. J. Olsder ◽  
M. Bliemer
Keyword(s):  
Design Problem ◽  
Stackelberg Games ◽  
Inverse Stackelberg Games

scholarly journals Spatially Distributed Differential Game Theoretic Model of Fisheries

Mathematics ◽  
2019 ◽  
Vol 7 (8) ◽  
pp. 732 ◽  
Author(s):  
Ougolnitsky ◽  
Usov
Keyword(s):  
Differential Game ◽  
Equation Model ◽  
Stackelberg Games ◽  
Theoretic Model ◽  
Information Structures ◽  
Spatially Distributed ◽  
Spatial Coordinates ◽  
Game Theoretic ◽  
Linear Differential ◽  
Inverse Stackelberg Games

We consider a differential game of fisheries in a fan-like control structure of the type “supervisor—several agents”. The dynamics of the controlled system is described by a non-linear differential equation model which is identified on the Azov Sea data. An averaging by two spatial coordinates is conducted. Different information structures of the game are generated by the control methods of compulsion (supervisor restricts the feasible strategies of agents) and impulsion (she exerts an impact to their payoff functionals). Both Stackerlberg and inverse Stackelberg games are considered. For the numerical investigation we use a discretization of the initial model and the method of qualitatively representative scenarios in simulation modeling.

scholarly journals Inverse Stackelberg Solutions for Games with Many Followers

Mathematics ◽  
2018 ◽  
Vol 6 (9) ◽  
pp. 151
Author(s):  
Yurii Averboukh
Keyword(s):  
Existence Theorem ◽  
Differential Games ◽  
Stackelberg Games ◽  
Main Assumption ◽  
Stackelberg Solutions ◽  
Inverse Stackelberg Games

The paper is devoted to inverse Stackelberg games with many players. We consider both static and differential games. The main assumption of the paper is the compactness of the strategy sets. We obtain the characterization of inverse Stackelberg solutions and under additional concavity conditions, establish the existence theorem.

Design Problem Solving

2006 ◽  
Vol 214 (2) ◽  
pp. 73-86 ◽  
Author(s):  
Constance Winkelmann ◽  
Winfried Hacker
Keyword(s):  
Problem Solving ◽  
Design Problem

Zusammenfassung. In zwei experimentellen Studien werden mögliche alternative Bedingungen der lösungsgüteverbessernden Wirkung einer Frage-Antwort-Technik im Entwurfsdenken (Design Problem Solving) geprüft. In der ersten Studie (N = 84) wurden differential- und kognitionspsychologische Bedingungen geprüft. Eine Aussagenanalyse in einer zweiten Studie (N = 94) sollte die nachgewiesenen Ergebnisse vertiefen. Für die in beiden Studien ermittelten Lösungsgüteverbesserungen konnten keine differentialpsychologischen Abhängigkeiten von Vorgehensstilen nachgewiesen werden. In kognitionspsychologischer Hinsicht zeigte sich, dass sowohl Fragen, die die Forderungen der Aufgabe in Erinnerung bringen, als auch Fragen, deren Beantwortung die Auslösung von Denkprozessen fördern, zur Lösungsgüteverbesserung beitragen. Größere Effekte werden bei der Kombination beider Fragenarten nahe gelegt. Die Ergebnisse der Aussagenanalyse weisen auf eine sowohl beschreibende als auch begründende und bewertende Vorgehensweise der Untersuchungsteilnehmer hin, die Verbesserungen erzielten. Fragen für weiterführende Untersuchungserfordernisse werden abgeleitet.

Boundary Condition Design to Heat a Moving Object at Uniform Transient Temperature Using Inverse Formulation

2004 ◽  
Vol 126 (3) ◽  
pp. 619-626 ◽  
Author(s):  
Hakan Ertu¨rk ◽  
Ofodike A. Ezekoye ◽  
John R. Howell
Keyword(s):  
Boundary Condition ◽  
Temperature Distribution ◽  
Design Problem ◽  
Manufacturing Industry ◽  
Three Dimensional ◽  
Chemical Deposition ◽  
Iterative Solution ◽  
Conveyor Belt ◽  
Temperature History ◽  
Transient Temperature

The boundary condition design of a three-dimensional furnace that heats an object moving along a conveyor belt of an assembly line is considered. A furnace of this type can be used by the manufacturing industry for applications such as industrial baking, curing of paint, annealing or manufacturing through chemical deposition. The object that is to be heated moves along the furnace as it is heated following a specified temperature history. The spatial temperature distribution on the object is kept isothermal through the whole process. The temperature distribution of the heaters of the furnace should be changed as the object moves so that the specified temperature history can be satisfied. The design problem is transient where a series of inverse problems are solved. The process furnace considered is in the shape of a rectangular tunnel where the heaters are located on the top and the design object moves along the bottom. The inverse design approach is used for the solution, which is advantageous over a traditional trial-and-error solution where an iterative solution is required for every position as the object moves. The inverse formulation of the design problem is ill-posed and involves a set of Fredholm equations of the first kind. The use of advanced solvers that are able to regularize the resulting system is essential. These include the conjugate gradient method, the truncated singular value decomposition or Tikhonov regularization, rather than an ordinary solver, like Gauss-Seidel or Gauss elimination.

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