Preference inference based on Pareto models

In this paper, we consider Preference Inference based on a generalised form of Pareto order. Preference Inference aims at reasoning over an incomplete specification of user preferences. We focus on two problems. The Preference Deduction Problem (PDP) asks if another preference statement can be deduced (with certainty) from a set of given preference statements. The Preference Consistency Problem (PCP) asks if a set of given preference statements is consistent, i.e., the statements are not contradicting each other. Here, preference statements are direct comparisons between alternatives (strict and non-strict). It is assumed that a set of evaluation functions is known by which all alternatives can be rated. We consider Pareto models which induce order relations on the set of alternatives in a Pareto manner, i.e., one alternative is preferred to another only if it is preferred on every component of the model. We describe characterisations for deduction and consistency based on an analysis of the set of evaluation functions, and present algorithmic solutions and complexity results for PDP and PCP, based on Pareto models in general and for a special case. Furthermore, a comparison shows that the inference based on Pareto models is less cautious than some other types of well-known preference model.

Territorial development, planning reform and urban governance: the case of Ireland's second-tier cities

The increased emphasis within Europe on the role of second-tier cities has implications for the ways in which these urban centres are considered within national spatial planning strategies. In centralised, monocentric states like Ireland, there has been a general ambivalence towards urban policy for cities outside the capital city, and historically this has prevented the development of a strong, diversified urban hierarchy undermining prospects for balanced regional development. This paper examines the extent to which a new found emphasis on Ireland’s second-tier cities which emerged in the ‘Gateways’ policy of the National Spatial Strategy (NSS, 2002) was matched by subsequent political and administrative commitment to facilitate the development of these urban centres. Following a discussion of the position of second-tier cities in an international context and a brief overview of recent demographic and economic trends, the paper assesses the relative performance of Ireland’s second-tier cities in influencing development trends, highlighting a comprehensive failure to deliver compact urban growth. In this context, the paper then discusses the implications of current development plans for the second-tier cities and proposals for Irish local government reform for securing compact urban development.