The construction of choice: a computational voting model

Abstract

Social choice models usually assume that choice is among exogenously given and non decomposable alternatives. Often, on the contrary, choice is among objects that are constructed by individuals or institutions as complex bundles made of many interdependent components. In this paper we present a model of object construction in majority voting and show that, in general, by appropriate changes of such bundles, different social outcomes may be obtained, depending upon initial conditions and agenda, intransitive cycles and median voter dominance may be made appear or disappear, and that, finally, decidability may be ensured by increasing manipulability or viceversa.

The dynamics of organizational structures and performances under diverging distributions of knowledge and different power structures

“…8 Similar manipulability results are more rigorously discussed within a standard social choice framework in Marengo and Pasquali (2011) and Marengo and Settepanella (2010). exploited only if the principal can choose (by locating in its basin of attraction), among the many equilibria or outcomes, one which ranks higher in terms of control or performance.…”

“…8Similar manipulability results are more rigorously discussed within a standard social choice framework in Marengo and Pasquali (2011) and Marengo and Settepanella (2010). …”

A graph theoretical approach to decisions in social choice, law, A.I.

“…More recently Marengo et al [15] showed how the propositional logic framework introduced in List and Pettit [11] can be equivalently formalized by means of a multi-dimensional graph model which allows to extend to the Judgment aggregation framework the classical results in the social choice literature and vice-versa. Their attempt to model the judgment aggregation framework by means of graphs is a generalization of the decision process introduced in [13] and modeled via graphs in [1,14].…”

“…We point out that the collective decision making over multidimensional alternatives has been largely studied over the past years with dozens of papers (see, for instance [10] for a partial survey on the argument). In this paper we are mainly interested in the new contribution added to this literature by Marengo and Pasquali [13], in particular in the decision process via objects scheme and in the concept of local optimum they introduced (see Sect. 3.1).…”

“…Our goal is double, from one hand we show a Category-like approach to decisions by exhibiting a general graph framework that model multi-dimensional alternatives decision processes in three different contexts. On the other hand the description of the CP-nets in terms of graphs allows to introduce the decision process of Marengo and Pasquali [13] and the known results related to the concept of local optimum in the automata decisions framework. In particular we remark that the CP-nets based decision process is a special case of the Marengo and Pasquali [13] decision process (see Remark 4.3).…”