Is more health always better? Exploring public preferences that violate monotonicity

Abásolo and Tsuchiya (2004a) report on an empirical study to elicit public preferences regarding the efficiency-equality trade-off in health, where the majority of respondents violated monotonicity. The procedure used has been subject to criticisms regarding potential biases in the results. The aim of this paper is to analyse whether violation of monotonicity remains when a revised questionnaire is used. We test: whether monotonicity is violated when we allow for inequality neutral preferences and also if we allow for preferences that would reject any option which gives no health gain to one group; whether those who violate monotonicity actually have non-monotonic or Rawlsian preferences; whether the titration sequence of the original questionnaire may have biased the results; whether monotonicity is violated when an alternative question is administered. Finally, we also test for symmetry of preferences. The results confirm the evidence of the previous study regarding violation of monotonicity

SHOULD THE UTILITY FUNCTION BE DITCHED?

This note takes a retrospective look at the Utility Construct still in use in economic science and compares it to a new approach based on recent findings in neuroscience. The results show that it is more natural and more compelling to go from the preference order to the price vector. Thus making the non-falsifiable utility apparatus superfluous.Well-ordered Preference Relation, C2 Utility Function, Well-defined Individual Demand Function, and Neuroeconomics

Improving the Measurement of Human Development

We propose a new Human Development Index that involves a number of changes with respect to the present one, even though it keeps the basic structure of the index (namely, preserving “health”, “education” and “material wellbeing” as the three basic dimensions of human development). The first change refers to the substitution of the arithmetic mean by the geometric mean, as a way of aggregating the different dimensions in a more sensible way. The second one leads to the introduction of distributive considerations in the evaluation of material wellbeing. The last change consists of the introduction of new variables to approach health and education, looking for a higher sensitivity of the index with respect to the differences between countries. These new variables are specially indicated for the analysis of human development in highly developed countries. Besides the conceptual discussion, that includes a characterization of the chosen aggregation formula, we present a comparative analysis of this new index and the standard one, focusing on the OECD countries.Human Development, multiplicative indices, distributive concerns, highly developed countries, HDI

Welfare, Labor Supply and Heterogeneous Preferences: Evidence for Europe and the US

Following the report of the Stiglitz Commission, measuring and comparing well-being across countries has gained renewed interest. Yet, analyses that go beyond income and incorporate non-market dimensions of welfare most often rely on the assumption of identical preferences to avoid the difficulties related to interpersonal comparisons. In this paper, we suggest an international comparison based on individual welfare rankings that fully retain preference heterogeneity. Focusing on the consumption-leisure trade-off, we estimate discrete choice labor supply models using harmonized microdata for 11 European countries and the US. We retrieve preference heterogeneity within and across countries and analyze several welfare criteria which take into account that differences in income are partly due to differences in tastes. The resulting welfare rankings clearly depend on the normative treatment of preference heterogeneity with alternative metrics. We show that these differences can indeed be explained by estimated preference heterogeneity across countries – rather than demographic composition.welfare measures, preference heterogeneity, labor supply, Beyond GDP

Condorcet Domains, Median Graphs and the Single Crossing Property

Condorcet domains are sets of linear orders with the property that, whenever the preferences of all voters belong to this set, the majority relation has no cycles. We observe that, without loss of generality, such domain can be assumed to be closed in the sense that it contains the majority relation of every profile with an odd number of individuals whose preferences belong to this domain. We show that every closed Condorcet domain is naturally endowed with the structure of a median graph and that, conversely, every median graph is associated with a closed Condorcet domain (which may not be a unique one). The subclass of those Condorcet domains that correspond to linear graphs (chains) are exactly the preference domains with the classical single crossing property. As a corollary, we obtain that the domains with the so-called `representative voter property' (with the exception of a 4-cycle) are the single crossing domains. Maximality of a Condorcet domain imposes additional restrictions on the underlying median graph. We prove that among all trees only the chains can induce maximal Condorcet domains, and we characterize the single crossing domains that in fact do correspond to maximal Condorcet domains. Finally, using Nehring's and Puppe's (2007) characterization of monotone Arrowian aggregation, our analysis yields a rich class of strategy-proof social choice functions on any closed Condorcet domain

Optimal web-scale tiering as a flow problem

We present a fast online solver for large scale parametric max-flow problems as they occur in portfolio optimization, inventory management, computer vision, and logistics. Our algorithm solves an integer linear program in an online fashion. It exploits total unimodularity of the constraint matrix and a Lagrangian relaxation to solve the problem as a convex online game. The algorithm generates approximate solutions of max-flow problems by performing stochastic gradient descent on a set of flows. We apply the algorithm to optimize tier arrangement of over 84 million web pages on a layered set of caches to serve an incoming query stream optimally

An Alternative approach to measure HDI

The popularly known Human Development Index (HDI) is obtained through linear averaging (LA) of indices in three dimensions - health, education and standard of living. LA method assumes perfect substitutability among the indices. We question its appropriateness and propose an alternative measure, which is the inverse of the Euclidian distance from the ideal. Following Zeleny (1974), we refer to this, as the Displaced Ideal (DI) method. Through an axiomatic characterization, the paper shows that the advantages in the DI method are the following. Uniform, as against skewed, development is rewarded. Through an ideal path, it signals a future course of action. These signify that a given increment in any one dimension, with other dimensions remaining constant, has a greater significance for the index at a lower level than at a higher level. In other words, stagnancy in the dimension that has a lower value is more serious than stagnancy in other dimensions. Finally, an empirical illustration has been done by taking the statistics in Human Development Report 2006. We strongly propose that the DI method be considered over the LA method in the construction of HDI.Displaced ideal, Euclidian distance, Ideal point, Linear averaging, Uniform development