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Cooperative game theory in dealing with local conflict
Ilavská, Adriana ; Mazal,, Jan (referee) ; Hrdina, Jaroslav (advisor)
The bachelor thesis is focused on introducing terms and solution concepts of the Cooperative Game Theory. The mathematical apparatus is then applied to the hypothetical local conflict in Scandinavia and in the countries of former Yugoslavia. The aim of the thesis is to point out the range of possibilities for using the Cooperative Games in the field of International Relations. For hypothetical conflicting situations, the potential gain of different coalitions is expressed by a characteristic feature. For the composed games is calculated the Shapley's value, expressing the fair distribution of profits between individual players, and Myerson's value, taking into account the impossibility of creating some of the coalitions. The work provides interpretations of results in the field of International Relations. It points out a wide range of possible applications of Cooperative Game Theory when conflicts occur at international scene, where this application is not common.
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Cooperative game theory in local conflicts
Ilavská, Adriana ; Mazal,, Jan (referee) ; Hrdina, Jaroslav (advisor)
The Cooperative Game Theory is a scientific discipline which offers rich mathematical apparatus for describing complex situations in the social reality. Its apparatus includes an extension to hierarchical structures and therefore can be applied to numerous research problems from the International Relations field. However, a cooperative game theoretical approach is very scarcely used. The main goal of the diploma thesis is to demonstrate, on the research problem of decision making in participation in local conflicts, the benefits of results that can be achieved by the application of the Cooperative Game Theory. In the first part of the thesis, theoretical foundations are laid and basic concepts are introduced. The second part is focused on forming a series of models of cooperative games with hierarchical structures from four local conflict situations, which are subsequently restricted in order to describe authoritative relations in structure. Restricted games are solved, the results are interpreted and evaluation of how these results can contribute to addressing the research problem follows.
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Cooperative game theory in local conflicts
Ilavská, Adriana ; Mazal,, Jan (referee) ; Hrdina, Jaroslav (advisor)
The Cooperative Game Theory is a scientific discipline which offers rich mathematical apparatus for describing complex situations in the social reality. Its apparatus includes an extension to hierarchical structures and therefore can be applied to numerous research problems from the International Relations field. However, a cooperative game theoretical approach is very scarcely used. The main goal of the diploma thesis is to demonstrate, on the research problem of decision making in participation in local conflicts, the benefits of results that can be achieved by the application of the Cooperative Game Theory. In the first part of the thesis, theoretical foundations are laid and basic concepts are introduced. The second part is focused on forming a series of models of cooperative games with hierarchical structures from four local conflict situations, which are subsequently restricted in order to describe authoritative relations in structure. Restricted games are solved, the results are interpreted and evaluation of how these results can contribute to addressing the research problem follows.
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Cooperative interval games
Bok, Jan ; Hladík, Milan (advisor) ; Valla, Tomáš (referee)
In this thesis, we study cooperative interval games, a generalized model of cooperative games in which worth of every coalition corresponds with a closed interval representing all possible outcomes of their cooperation. We give a brief introduction into classical cooperative games, interval analysis and finally introduction to cooperative interval games with focus on selections, that is on all possible outcomes of interval game with no additional uncertainty. We introduce new selection-based classes of interval games and prove their characterizations and relation to existing classes. We show a new results regarding core and imputations. We introduce a definition of strong imputation and core and examine a problem of equality of two different versions of core -- the main stability solution of cooperative interval games. Finally, we make some new remarks on Shapley value of interval games.
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Cooperative game theory in dealing with local conflict
Ilavská, Adriana ; Mazal,, Jan (referee) ; Hrdina, Jaroslav (advisor)
The bachelor thesis is focused on introducing terms and solution concepts of the Cooperative Game Theory. The mathematical apparatus is then applied to the hypothetical local conflict in Scandinavia and in the countries of former Yugoslavia. The aim of the thesis is to point out the range of possibilities for using the Cooperative Games in the field of International Relations. For hypothetical conflicting situations, the potential gain of different coalitions is expressed by a characteristic feature. For the composed games is calculated the Shapley's value, expressing the fair distribution of profits between individual players, and Myerson's value, taking into account the impossibility of creating some of the coalitions. The work provides interpretations of results in the field of International Relations. It points out a wide range of possible applications of Cooperative Game Theory when conflicts occur at international scene, where this application is not common.
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