A consistent multidimensional Pigou-Dalton transfer principle

The Pigou-Dalton principle demands that a regressive transfer decreases social welfare. In the unidimensional setting this principle is consistent, because regressivity in terms of attribute amounts and regressivity in terms of individual well-being coincide in the case of a single attribute. In the multidimensional setting, however, the relationship between the various attributes and well-being is complex. To formulate a multidimensional Pigou-Dalton transfer principle, a concept of wellbeing must therefore first be defined. We propose a version of the Pigou-Dalton principle that defines regressivity in terms of the individual well-being ranking that underlies the social ranking on which the principle is imposed. This well-being ranking (of attribute bundles) is induced from the social ranking over distributions in which all individuals have the same attribute bundle. It is shown that this new principle—the consistent Pigou-Dalton principle—imposes a quasi-linear structure on the well-being ranking. We discuss the implications of this result within the literature on multidimensional inequality measurement and within the literature on needs.Pigou-Dalton principle, Multidimensional inequality measurement, Majorization, Budget dominance, Needs, Weak equity axiom

A consistent multidimensional Pigou-Dalton transfer principle.

The Pigou-Dalton principle demands that a regressive transfer decreases social welfare. In the unidimensional setting this principle is consistent, because regressivity in terms of attribute amounts and regressivity in terms of individual well-being coincide in the case of a single attribute. In the multidimensional setting, however, the relationship between the various attributes and well-being is complex. To formulate a multidimensional Pigou-Dalton transfer principle, a concept of wellbeing must therefore first be defined. We propose a version of the Pigou-Dalton principle that defines regressivity in terms of the individual well-being ranking that underlies the social ranking on which the principle is imposed. This well-being ranking (of attribute bundles) is induced from the social ranking over distributions in which all individuals have the same attribute bundle. It is shown that this new principle—the consistent Pigou-Dalton principle—imposes a quasi-linear structure on the well-being ranking. We discuss the implications of this result within the literature on multidimensional inequality measurement and within the literature on needs.Pigou-Dalton principle; Multidimensional inequality measurement; Majorization; Budget dominance; Needs; Weak equity axiom;

The foregone risk premium: a communicative and practical method for the evaluation of risk-return profiles in agriculture

Risk considerations have become increasingly important in nowadays agriculture, due to a variety of reasons. Surprisingly, the practice of formalized risk management is not widespread despite the huge amount of scientific literature on this topic. This discrepancy between risk science and extension is described by many authors. This paper presents a communicative method, rooted in financial economics, to evaluate risk-return profiles in a way that is communicative for individual farmers. The method is derived from the modern portfolio theory, in which individual assets are implicitly compared to the risk-return trade-off of that asset with the highest Sharpe ratio. We use this idea to compare individual risk-return profiles to a particular benchmark. The method can be used for evaluating different risk-return profiles of different farms, different risk management instruments and different production systems. To illustrate the communicative nature of our method, it is applied to evaluate risk-return profiles of conventional versus organic cropping systems.Risk and Uncertainty,

Farm household risk balancing : implications for policy from an EU perspective

Purpose - Building on the risk balancing theory and on recent discussions the appropriateness of using farm income maximization as behavioural assumption, this paper extends the risk balancing framework by accounting for business-household interactions. The purpose of this paper is to theoretically introduce the concept of farm household risk balancing, a theoretical framework in which the farm household sets a constraint on the total household-level risk and balances farm-level and off-farm-level risk. Design/methodology/approach - The paper argues that the risk behaviour of farmers is better understood by considering risk at the household level. Using an analytical framework, equations are derived linking the farm activities, off-farm activities, consumption and business and private liquidity. Findings - The framework shows that a farm household that wants to minimize the risk that total household cash flow falls below consumption needs, may exhibit a wide variety of behavioural responses to changes in the policy and economic environment. Social implications - The framework suggests multiple ways for policy makers and individual farmers to support risk management. Originality/value - Risk management is at the core of the agricultural policy and it is of paramount importance to be able to understand behavioural responses to market and policy instruments. This paper contributes to that by suggesting that the focus of current risk analysis and management studies may be too narrowly focused at the farm level