A model for the elaboration of fair divisional projects in inheritance disputes

The aim of this research is to develop a method to support the definition of efficient and fair divisional projects in particularly complex cases concerning inheritance disputes. Firstly, the approach involves an appraisal of the market value of the assets, along with an analysis of the respective conditions of concrete divisibility; then, two mathematical models have been developed for the assignment of the assets to the subjects involved in the divisional projects. The logic underlying of both models has been translated into mathematical algorithms that allow for the minimization of the monetary compensations resulting from the differences between the legal right shares and the actual portions to beattributed to them. Both models have been developed through mathematical formulas that can be easily implemented by using an appropriate calculation software. They can be used in particularly complex inheritance divisions, in which the deceased’s assets are numerous and there are several heirs with similar or different legal right shares. The methodology is useful in the disputes that could arise in hereditary successions. The fundamental value is that the models could support the definition of the best solution in particularly complex situations, characterized by a large number of assets to be assigned and/or the existence of “preferential” constraints for the assignment of the assets.