A cake is a metaphor for a heterogeneous, divisible good, such as land. A perfect division of cake is efficient (also called Pareto-optimal), envy-free, and equitable. We give an example of a cake in which it is impossible to divide it among three players such that these three properties are...

We model problems of allocating disputed properties as generalized exchange economies in which agents have preferences and claims over multiple goods, and the social endowment of each good may not be sufficient to satisfy all individual claims. In this context, we investigate procedural and...

What is a good incentive-compatible policy when one wants to respect individual choices of labor and human capital but eliminate inequalities due to unequal access to human capital and different returns to human capital, and when earnings and human capital expenditures are the only verifiable...

The well-known swap distance (Kemeny (1959); Kendall (1938); Hamming (1950)) is analyzed. On weak preferences, this function was characterized by Kemeny (1959) with five conditions; metric, betweenness, neutrality, reducibility, and normalization. We show that the same result can be achieved...

This paper proposes a model of aid allocating which aims to equalize the opportunity between recipient countries to reduce the poverty, in particular the millennium development goal of reducing the poverty by half. The model also takes into account the natural deficit which is defined by the gap...

Through a discrete choice experiment we elicited the Belgian adult population’s (18-75y; N = 750) preferences for prioritizing health care. We used a Bayesian D-efficient design with partial profiles, which enables considering a large number of attributes and interaction effects. We included...

We consider international negotiations on the level of global pollution, and examine the Lindahl solution which determines the distribution of the pollution permits with unanimous agreement. We show various properties to clarify difficulties to achieve a Pareto efficient allocation as an...

We study the problem of allocating heterogeneous indivisible tasks in a multi-object-demand model (i.e., each agent can be assigned multiple objects) where monetary transfers are allowed. Agents. costs for performing tasks are their private information and depend on what other tasks they are...