ESTGV - DMAT - Outros
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- Comparison of different rules to deal with incomplete information: perspectives of mediationPublication . Sarabando, Paula; Dias, LuisIn bilateral Negotiation Analysis, the literature often considers the case with complete information. In this context, since the value (or utility) functions of both parties are known, it is not difficult to calculate the Pareto frontier (or efficient frontier) and the Pareto efficient solutions for the negotiation. Thus rational actors can reach agreement on this frontier. However, these approaches are not applied in practice when the parties do not have complete information. Considering that the additive value (or utility) function is used, often it is not easy to obtain precise values for the scaling weights or the levels’ value in each issue. We compare four decision rules that require weaker information, namely ordinal information on weights and levels, to help a mediator suggesting an alternative under these circumstances. These rules are tested using Monte-Carlo simulation, considering that the mediator would be using one of three criteria: maximizing the sum of the values, maximizing the product of the excesses regarding the reservation levels, or maximizing the minimal proportion of potential. Simulations asses how good is the alternative chosen by each rule, computing the value loss with respect to the alternative that would be suggested if there was precise cardinal information and determining if the chosen alternative is efficient or, if not, how far is the nearest efficient alternative. We also provide guidelines about how to use these rules in a context of selecting a subset of the most promising alternatives, considering the contradictory objectives of keeping a low number of alternatives yet not excluding the best one. A further issue we investigate is whether using only ordinal information leads to treat one of the parties unfairly, when compared to a situation in which precise cardinal values were used instead.
- Simple procedures of choice in multicriteria problems without precise information about the alternatives’ valuesPublication . Sarabando, Paula; Dias, LuísThe additive model of multiattribute value (or utility) the ory is widely used in multicriteria choice problems. However, often it is not easy to obtain precise values for the scaling weights or the alterna tives’ value in each function. Several decision rules have been proposed to select an alternative under these circumstances, which require weak er information, such as ordinal information. We propose new decision rules a nd test them using Monte-Carlo simulation, considering that there exists ordinal information both on the scaling weights and on the alternati ves’ values. Results show the new rules constitute a good approximation. We provide guidelines about how to use these rules in a context of select ing a subset of the most promising alternatives, considering the contradi ctory objectives of keeping a low number of alternatives yet not excluding the best one.
- Approaches to suggest potential agreements: Perspectives of mediation with incomplete informationPublication . Sarabando, Paula; Dias, Luís; Vetschera, RudolfIn bilateral Negotiation Analysis, the literature often co nsiders the case of complete information. In this context, since the negotiators know the value functions of both parties, it is not difficult to calculate the Pareto frontier and the Pareto efficient soluti ons for the negotiation. Thus rational negotiators can reach agreement on this frontier. However, these approaches are not applied in practice when the parties do not have complete information. The research question of our work is “It is possible to help negotiators achieving an efficient soluti on if they do not have complete information regarding the different parameters of the model?”. We propos e to obtain information regarding the preferences of negotiators during the negotiation process , in order to be able to propose alternatives close to the Pareto frontier. During this work we will presen t three approaches to help a mediator proposing a better solution than the compromise the negotia tors have reached or are close to reach.