Browsing by Subject "Maskin Monotonicity"

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    Essays in social choice theory
    (2009) Erol, Selman
    In this thesis, we investigate several issues concerning the class of Maskin monotonic social choice rules. Firstly, given a set of profiles, we find out which Maskin monotonic social choice rules adopt this set as a center. Then we introduce an algorithmic approach to find the self-monotonicities of a Maskin monotonic social choice rule. Moreover, we characterize all binary set operations that preserve Maskin monotonicity. Then we pass to investigating social choice functions, and determine the the domains of impossibility and possibility around a center with respect to a modified Manhattan metric. Finally, we try to reach a necessary and sufficient condition for Nash-implementability of a social choice in terms of neutrality
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    A study of extensions of the stable rule for roommate problems
    (2018-08) İşbilen, Asu
    Roommate problems might not have a stable solution. But for such problems we are still faced with the problem of matching the agents. One natural approach would be to match the agents in such a way that the resulting matching is “close” to being stable. Such solution concepts should select stable matchings when they exists and select matchings “close” to being stable when the problem does not have any stable matchings. We work with the following solution concepts, Almost Stability, Maximum Irreversibility, Maximum Internal Stability, P-stability and Q-stability, and define a new solution concept, called Iterated P-stability. We investigate consistency, population monotonicity, competition sensitivity and resource sensitivity of these solution concepts. We also explore Maskin monotonicity of these solution concepts.