Cooperative behaviour, uncertainty and operations research
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Game theory is a mathematical theory that can model and analyse cooperation between individuals. In this thesis, which consists of two parts, game theory is used to study the cooperative behaviour of agents in several situations. Part I of this thesis provides analysis of several problems from operations research in a cooperative setting. These problems are linear production problems, assignment problems, cooperative behaviour of agents is studied when at least one of them is facing uncertainty. Special attention is paid to situations where uncertainty arises from informational deficiencies and to cooperative games with random payoffs.