David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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In Jerome Lang & Ulle Endriss (eds.), Computational Social Choice 2006. University of Amsterdam (2006)
The choice of a social decision rule for a federal assembly aﬀects the welfare distribution within the federation. But which decision rules can be recommended on welfarist grounds? In this paper, we focus on two welfarist desiderata, viz. (i) maximizing the expected utility of the whole federation and (ii) equalizing the expected utilities of people from different states in the federation. We consider the European Union as an example, set up a probabilistic model of decision making and explore how diﬀerent decision rules fare with regard to the desiderata. We start with a default model, where the interests, and therefore the votes of the diﬀerent states are not correlated. This default model is then abandoned in favor of models with correlations. We perform computer simulations and ﬁnd that decision rules with a low acceptance threshold do generally better in terms of desideratum (i), whereas the rules presented in the Accession Treaty and in the (still unratiﬁed) Constitution of the European Union tend to do better in terms of desideratum (ii). The ranking obtained regarding desideratum (i) is fairly stable across diﬀerent correlation patterns.
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