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The purpose of this paper is to develop a method to support the definition of efficient and fair divisional projects in particularly complex cases concerning inheritance disputes.

First, 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 be attributed 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.

The purpose of this paper is to propose a decision-support methodology for public and private subjects involved in the enhancement of public properties. In particular, with reference to cases in which the disused public property can be sold and the range of functions that define the highest and best use of the conversion was identified, the developed model allows for the assessment of the financial feasibility of the initiatives, in relation to the corresponding investment risks.

The proposed model integrates the mathematical logic of goal programming for the evaluation of the financial conveniences of the parties (public and private) involved in the enhancement of a public property with statistical approaches (value at risk+exponentially weighted moving average) so as to determine the investment risk of the private investor. The application of the model to a real case study highlighted the potentialities of the proposed methodology.

The model allows to determine: the optimal mix of intended uses to be realized in the public property under analysis; the fair value of the public property for the parties involved in the transaction; and the Pareto-optimal frontier of the expected profits, as a function of the risk appetite of the private investor.

The defined model responds to the growing international interest in the enhancement of public buildings, satisfies the objectives of the substantial reduction of soil sealing and urban sustainability, stimulates the urban regeneration of deprived areas of the cities through the reactivation of large buildings that have been disused or underused for too long.

The present research allows to provide effective evaluation tools capable of outlining the opportunities of redevelopment initiatives and examines the risk factors that often invalidate the initial forecasts of the private entrepreneur and/or stop the activation of investments.

This paper aims to test and compare two innovative methodologies (utility additive and evolutionary polynomial regression) for mass appraisal of residential properties. The aim is to deepen their characteristics, by exploring the potentialities and the operating limits.

With reference to the same case studies, concerning samples of residential properties recently sold in three Italian cities, the two procedures are tested and the results are compared. The first method is the utility additive, which interprets the process of the property price formation as a multi-criteria selection of multi-objective typology, where the selection criteria are the property characteristics that are decisive in the real estate market; the second method is a hybrid data-driven technique, called evolutionary polynomial regression, that uses multi-objective genetic algorithms to search those models expressions that simultaneously maximize accuracy of data and parsimony of mathematical functions.

The outputs obtained from the experimentation highlight the potentialities and the limits of the two methodologies, as well as the possibility of jointly applying them to interpret and predict the real estate phenomena in a more realistic representation.

In all countries, mass appraisal techniques have become strategic for the definition of management and enhancement policies of public and private property assets, in the case of investments of technical and economic refunctionalization (energy, environment, etc.), and for the alienation of buildings no longer suitable for public needs (military barracks, hospitals, areas in disuse, etc.). In this context, the use of mass appraisal techniques for residential properties assumes a leading role for sector operators (buyers, sellers, institutions, insurance companies, banks, real estate funds, etc.). Therefore, the results of the applications outline the potentialities of the two methodologies implemented and the opportunity of further insights of the topics that have been dealt with in this research.

In this research a model for the rationalization of the assessment in a rent to buy contract has been proposed, in order to contextualize the economic amounts involved in the negotiation according to the specific market risk of the area where the property is located. The paper aims to discuss this issue.

The model borrows the logical principles of operational research, in order to take into account the convenience constraints of the parties involved (seller and buyer) and to determine the minimum amount of the additional annual rent to be charged as down payment on the final sale price, compensating the investment risk. The procedure proposed for the risk assessment combines the discrete modeling of real option analysis and the exponentially weighted moving average method, in order to weigh appropriately the data available for the specific area in the analysis.

Considering the limit conditions of variability of the property market value at the time provided for the notarial deed, the proposed model returns two values (minimum and maximum) for a fixed contract duration and for a specific market area for the annual additional rent, which define the reference range to ensure the compliance with the convenience constraints of the parties involved.

In order to test the reliability of the developed methodology, the model has been implemented to the 24 “microzones” defined by the Italian Revenue Agency for the city of Bari (Southern Italy). The results obtained were then georeferenced, in order to create thematic maps of convenience for the subjects interested in the rent to buy formula. The developed maps define a useful support to be consulted in the negotiation phase between the seller and the buyer, allowing both to verify the investment conveniences within the limits of their disposable incomes and their needs.

The tabulated values of the down-payment amounts and the related thematic maps constitute a valid support for both the parties in the initial negotiation phase of the contractual conditions: in fact, if comparable data for the assessment of the market value and the market rent at the time of the stipulation of the contract are ordinarily available, the increase in the rent, to be charged as the annual down payment on the final purchase price, is generally entrusted to the contractual capabilities of the subjects involved, since there is no market reference that can direct an appropriate assessment.

This study aims to propose and test an innovative methodology for assessing mortgage lending value. The method tries to improve and rationalize, within the canonical and derivative approach that is generally used by the sector operators, the appraisal of the percentage reduction to be applied to the market value.

Considering that the European Mortgage Federation and the Basel Committee highlight the importance of information about the risks of properties to be loaned on, the value at risk approach has been developed so as to assess the mortgage lending value as a technique of risk analysis. With reference to the Italian context, the method elaborates the historical analysis of the property values in 93 major Italian cities for the residential and commercial intended uses in a significant period (1967-2015) and allows to determine the reduction coefficients of the market value as a function of the central, semi-central and peripheral locations of the property.

The results include the reduction coefficients of the market value for the derivative appraisal of the mortgage lending value. The coefficients obtained satisfy the need for a rational assessment of the property risk and the appropriate spatial contextualization of the risk components related to the local demand and supply, thus eliminating any inconsistency and danger of determining the mortgage lending value using a simple and lump-sum percentage deduction of the market value.

The global economic crisis in the past decade, triggered by the 2007 US Subprime mortgage crisis and consequent collapse of property values, has highlighted the need for high level professional skills in the appraisal of properties as securities for credit exposures. The method proposed for the assessment of the mortgage lending value allows to overcome the uncertainties underlying the determination of an independent value through indirect methods (income approach, cost approach) and rationalize the appraisal of the risk in the traditional derivative approach through a flexible procedure, with it being possible to adapt it to any territorial context, as well as any intended use.

The purpose of this paper is to develop an innovative model that can be included within the market approach methods for property valuations. The algorithm takes into account the frequent high level of dissimilarity of the comparables selected for the assessment, thus providing for the use of appropriate similarity and reliability coefficients capable of weighing the data of the comparison sample with respect to the different degrees of similarity and reliability.

The proposed model borrows the operative logics of the goal programming techniques, in order to identify the solution, the market value of the subject property and the implicit prices of the different influencing factors, since they are more reliable from the mathematical and empirical points of view.

The model has been applied to two case studies, relating to samples of residential properties located in the city of Naples (Southern Italy). The results obtained have outlined the high valuation performance of the developed appraisal model, capable of overcoming the applicability limits of classical market approach methods as well as providing solutions that are highly consistent with the expected empirical phenomena.

The research takes into account the growing need of both professionals and end users (banks, courts, public and private Entities, etc.) for valuation models that are easily repeatable and sufficiently objective. They are required in order to allow for the rapid verification of the elaborations carried out as well as to check the valuer’s appreciation of the contribution of the influencing factors in the market price formation. The outputs of the two applications developed have highlighted the ability of the proposed model to satisfy these market requests.

The proposed model can be easily implemented through a simple calculation program, with the mathematical structure elaborated allowing to overcome some application limits of the classical market approach methods. Furthermore, the introduction in the algorithm of appropriate similarity and reliability coefficients, capable of suitably weighting the data of the comparison sample, allows to widen the spatial horizon for the identification of the comparables as well as select properties characterized by a high level of dissimilarity. This makes it possible to apply the model in territorial contexts characterized by markets that are not excessively dynamic.

As regards the assessment of the market values of properties that compose real estate portfolios, the purpose of this paper is to propose and test an automated valuation model. In particular, the method defined allows for providing for objective, reliable and “quick” valuations of the assets in the phases of periodic reviews of the property values.

Aiming at both predictive and interpretative purposes, the method, based on multi-objective genetic algorithms to search those model expressions that simultaneously maximize the accuracy of the data and the parsimony of the mathematical functions, is applied to a sample data of office properties characterized by medium and large size, located in the city of Milan (Italy) and sold in the period between 2004 and 2015.

The model obtained could be an integration of the canonical methodologies (market approach, income approach, cost approach) implemented in the assessment of the market values of properties, so as to provide an additional tool to verify the results. In particular, the inclusion of economic variables in the model is consistent with the need to reiterate the valuations, contextualizing them to the locational characteristics and to the current property cycle phase in the specific area.

The model can be applied by all the operators involved in the periodic reviews of the values of property portfolios: from real estate funds’ insiders, in order to monitor the values obtained through the canonical approaches, to the public institutions, such as the revenue agencies, in order to ensure the fair payment of the taxes through the updating values of the properties according to the actual and current market trends.

The method proposed can be a valid support for all public and private entities that hold significant property assets and that, for various reasons (periodic reviews of the balance sheets, sales, enhancement, investment, etc.), require cyclical updated values of the properties. The automated valuation model developed can be used for the assessment of “comparison” values with the estimates values obtained by other assessment techniques, in order to ensure a further monitoring tool of the results from the subjects involved.

The paper aims to provide a decision-support model to ensure a proper use of the limited resources, financial and not, for the enhancement of the cultural heritage and comprehensive development of small towns from sustainable perspective.

The assessment model is set up using a multi-criteria method that combines elements of linear planning with a performance indicators system that may represent the complexity of the territory’s cultural identity as a result of existing cultural-historical assets.

The model reliability is tested in a case study in a Municipality in southern Italy. The case study’s findings highlight the advantages for the public/private operators, who can consciously choose which preservation and restoration projects to fund while taking into account the effects those decisions will have on the economic, social and environmental context of reference.

Due to the suggested operational approach and the selection of variables for accounting economic, social and environmental impacts by the renewal project, the research findings may not be generalizable. Therefore, it is recommended that researchers look into the suggested theories in more detail.

The study offers implications for designing a user-friendly tool to help decision-making processes from a private–public viewpoint in a reasonable allocation of financial resources among investments for cultural property asset enhancement.

The suggested operational approach provides a reliable information apparatus to depict the decision-making process under small-town development in accordance with sustainability dimensions.

The European Commission has established the reference value of the social discount rate (SDR) to be used in the cost-benefit analysis according to the subdivision of the states relating to the beneficiaries of the Cohesion Fund. This criterion does not allow to adequately consider the economic, social and environmental conditions of each European states for ensuring an equitable and inclusive growth. The aimof the work is to provide an innovative methodology for assessing the “adjusted” SDR according to the socioeconomic and environmental conditions that differently affect the sustainable development of each European state.

Through the implementation of a methodological approach that consists of ordered and sequential phases and the synergic adoption of the Multi-Criteria Techniques with the Data Envelopment Analysis, a corrective coefficient of the SDR established by the European Commission is determined.

The results obtained for the 27 European states highlight how the different conditions of each of them could affect the correct choice of the SDR to be used in the Cost-Benefit Analysis.

The proposed research represents a useful reference for identifying national reference SDR values for each European state, consistent with its specificities and with the goals of inclusive growth of the countries and of social and territorial cohesion. Furthermore, the traceability of the methodology in its phases will allow to adapt the SDR to sudden events or exogenous shocks.

The present research aims to develop and test an evaluation support model for decisions alert soil surface saving to be used in the redevelopment of abandoned and degraded properties through involvement of private developers.

Adapting operations research principles to the public–private partnership features that are typical of urban planning issues, the model pursues a complex objective function, that concerns urban parameters to be attributed to properties to be recovered. An elaboration of a Pareto-optimal frontier has defined possible scenarios for different trends of the variables under consideration.

The efficiency of the model is verified through application to a real case study concerning urban renewal of a property in disuse located in a city in Southern Italy. The outputs confirm the potentialities and flexibility of the proposed model to support urban planning decisions by improving the implementation of conservation policies, in terms of a reduced impact of urban transformation projects on the available natural land surface.

Depending on the objectives of public sector, the model can generate a range of urban parameter combinations to be attributed to the recovered properties to achieve low consumption of natural surfaces, with bargaining between the public and private sectors around these parameters. The model can also be used in the initial phases of the renewal initiative, when it is necessary to define the costs and the revenues involved or to assess alternative solutions capable of reducing impacts on the environment.

The model can be applied to identify the appropriate rewards in a project that can stimulate the private developers to realize further public infrastructures and services than minimum quantities established by the current local urban regulations. In this sense, the model represents an original scientific reference in the current strategies promoted by the European Union for achievement of a “no net land take” by 2050, aimed at reducing natural surface occupied by buildings and roads.