Guia docente 2023_24 Facultade de Ciencias Económicas e Empresariais

Máster Universitario en Técnicas Estadísticas

Contents

Topic	Sub-topic
The TU model	The characteristic form, basic definitions, examples, special classes of games. Set and single valued solutions. Axiomatization.
Set valued solutions	The core. Characterisations. The D-core. Stable sets. The core-cover. The Weber set. Characterisation of convex games.
Single valued solutions	The Shapley value and other related solutions. Axiomatic characterisations of the Shapley value. Asymmetric situations: the weighted values. A priori unions: the coalitional value. Restricted communication: the Myerson value. The prenucleolus and the nucleolus. The tau-value. The core-center. Programming and computer resources.
Applications	Simple games. Market games. Cost games. Airport games. Bankruptcy games. Games arising from operational research problems.
The NTU model	Definition of NTU games. Properties of the characteristic function. TU games as a particular case of NTU games. Hyperplane games. Market games. Preferences vs utility. Matching games. Gale-Shapley algorithm.
Bargaining problems	Solutions in bargaining problems. Nash solution. Kalai-Smorodinsky solution. Egalitarian solution. Discrete Raiffa solution. Continous Raiffa solution. Properties.
Axiomatic characterisations in bargaining problems	Characterization of the Nash solution. Characterization of the Kalai-Smorodinsky solution. Characterization of the egalitarian solution.
Solutions in general NTU games	The core in NTU games. The Shapley lambda-transferable value. The Maschler-Owen consistent value. The Harsanyi value. Axiomatic characterizations.