Power measures in large weighted voting games [Elektronische Ressource] : asymptotic properties and numerical methods / vorgelegt von Ines Lindner

Power MeasuresinLarge Weighted Voting GamesAsymptotic Properties and Numerical MethodsDissertationzur Erlangung des Doktorgradesdes Fachbereichs Mathematikder Universit¨at Hamburgvorgelegt vonInes Lindneraus Tubingen¨Hamburg 2004Als Dissertation angenommen vom FachbereichMathematik der Universit¨at Hamburgauf Grund der Gutachten vonProf. Dr. Claus-Peter Ortlieb, Universit¨at HamburgundProf. Dr. Mosh´e Machover, London School of EconomicsHamburg, den 21.10.2003Prof. Dr. Alexander KreuzerDekan des Fachbereichs MathematikAcknowledgmentsIwanttoexpressmygratitudetoeveryonewhosupportedmesothatIcouldcomplete this work. Firstly, I am grateful to the people that educated me,and to my parents in particular.I am especially grateful to Mosh´e Machover and Claus Peter Ortlieb wherethe latter already acted as a supervisor to my diploma thesis. Withouttheir support, it wouldn’t have been possible to realize my PhD in appliedmathematics as an external candidate. In that respect I also wish to thankthe Department of Mathematics at Hamburg University, whose cooperativeandencouragingattitudetowardsstudentshasalwaysbeenmostimpressing.Some of the thesis has been written during my time as a research assistantat the Institute of SocioEconomics at Hamburg University. I thank ManfredHoller who supervised me on part of this research and for giving me theinvaluable opportunity to frequently represent my research on conferences.