Informational Frameworks for Collective Decision Making: "A Suggested Compromise"

Abstract : This thesis investigates the foundations of preference and utility theory used in Social Choice and Decision Theory. The First chapter is the introduction. The Second chapter is composed of a survey of the existing results, motivations for a new framework that can combine many different approaches to aggregation of individual preferences and a proposal of a hybrid model, called preference-approval framework. The third chapter asks the question of meaning of a consensus in such a framework. As an attempt to answer the question, this work provides a distance based approach, by a metric defined on the domain of preference-approvals and analyzes different ways of measuring homogeneity among the individual opinions. As a new modelling of these opinions, individuals are assumed to express themselves in terms of rankings over a set of options (alternatives) and threshold levels interpreted as the distinction between "approved" and "disapproved" alternatives. The fourth chapter includes a manipulation analysis of aggregation rules over a voting profile composed of rankings and binary evaluations. Proposing a new notion of non-manipulability, this study provides a possibility result and some characterizations of impossibilities. Finally, further research problems for the art of designing new election systems and voting mechanisms are discussed with their potential implications for the society.
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Submitted on : Tuesday, February 11, 2014 - 10:15:13 PM
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Bora Erdamar. Informational Frameworks for Collective Decision Making: "A Suggested Compromise". Economies and finances. Ecole Polytechnique X, 2013. English. ⟨pastel-00945218⟩

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