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    Implementing the Borda outcome via truncated scoring rules: a computational study
    (Springer, 2014) Dogan, Onur; Giritligil, Ayca Ebru
    This study is an attempt to empirically understand the likelihood of choosing the Borda outcome through a truncated scoring rule when n voters are asked to report only part of their linear preferences over m alternatives. We run Monte Carlo simulations through a grid search algorithm as we employ an impartial culture model to sample voters' preferences. Given the range of parameter values we consider, we report the truncated scoring rules that maximize the likelihood of implementing the Borda outcome and how the maximum likelihood changes with m and n. We also present our results on the relative performances of some popular truncated voting rules, such as plurality and approval voting, in implementing the Borda outcome and demonstrate that two-level approval voting performs significantly better than the plurality rule. Moreover, we propose the expected Borda rule as a good proxy for the best implementor of the Borda rule among all truncated rules.
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    The Core of Shapley-Scarf markets with couples
    (Elsevier Science Sa, 2011) Dogan, Onur; Laffond, Gilbert; Laine, Jean
    We extend the Shapley-Scarf model of markets for indivisible goods without money to the case where couples of agents have joint preferences over the set of allocations. We show that the domain of (weakly) lexicographic preferences is maximal (for inclusion) for the existence of Core allocations. This result also holds in the case where the set of agents is partitioned into non-empty coalitions with any size, as well as for the class of markets studied in Konishi et al. (2001), where individuals exchange several types of purely indivisible goods. (C) 2010 Elsevier B.V. All rights reserved.