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National Repository of Grey Literature 2 records found  Search took 0.01 seconds. 
Hierarchical Problems with Evolutionary Equilibrium Constraints
 Adam, Lukáš ; Outrata, Jiří (advisor) ; Lachout, Petr (referee) ; Hoheisel, Tim (referee)
Title: Hierarchical Problems with Evolutionary Equilibrium Constraints Author: Lukáš Adam Supervisor: Prof. Jiří Outrata Abstract: In the presented thesis, we are interested in hierarchical models with evolutionary equilibrium constraints. Such models arise naturally when a time-dependent problem is to be controlled or if parameters in such a model are to be identified. We intend to discretize the problem and solve it on the basis of the so-called implicit programming approach. This technique requires knowledge of a generalized derivative of the solution mapping which assigns the state variable to the control variable/parameter. The computation of this generalized derivative amounts equivalently to the computation of (limiting) normal cone to the graph of the solution mapping. In the first part we summarize known techniques for computation of the normal cone to the set which can be represented as a finite union of convex polyhedra. Then we propose a new approach based on the so-called normally admissible stratification and simplify the obtained formulas for the case of time-dependent problems. The theoretical results are then applied first to deriving a criterion for the sensitivity analysis of the solution mapping and then to the solution of two practically motivated problems. The first one concerns optimal...
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Walras equilibria and emission allowances
 Kouřílek, Matěj ; Červinka, Michal (advisor) ; Chytilová, Julie (referee)
Global efforts to prevent climate change has been a catalyst for the emergence of many innovative ideas to mitigate this phenomenon. One of them was an introduction of emission markets where polluters share aggregate quantity of so-called pollution permits, e.g., the European Union emission trading system. This work analyses the behaviour of firms and a relation between the European Union Allowances quantity and their price on the Czech market. Furthermore, possible consequences of the EU emission trading system policy on the Czech emission and energy market are analyzed. To do so, we develop equilibrium model which uses an innovative concept of the Cournot-Nash-Walras equilibrium. The model estimates 25 and 14 percent increase in emission allowances price between years 2014-2015, and 2014-2020, respectively. We also find that non-innovating firm can lose significant market share.
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