This paper studies a class of judgment aggregation rules, to be called `scoring rules' after their famous counterpart in preference aggregation theory. A scoring rule delivers the collective judgments which reach the highest total `score' across the individuals, subject to the judgments having...

Some social choice models assume that precise interpersonal comparisons of utility (either ordinal or cardinal) are possible, allowing a rich theory of distributive justice. Other models assume that absolutely no interpersonal comparisons are possible, or even meaningful; hence all...

We develop a model of social choice over lotteries, where people's psychological characteristics are mutable, their preferences may be incomplete, and approximate interpersonal comparisons of well-being are possible. Formally, we suppose individual preferences are described by a...

The year 2012 was the 30th anniversary of William H. Riker’s modern classic Liberalism against populism (1982) and is marked by the present special issue. In this introduction, we seek to identify some core elements and evaluate the current status of the Rikerian research program and its...

When collective choices are made in more than one round and with dif¬ferent groups of decision-makers, so-called election inversions may take place, where each group have different majority outcomes. We identify two ver¬sions of such compound majority paradoxes specifically, but not...

This paper revisits the aggregation theorem of Chichilnisky (1980), replacing the original smooth topology by the closed convergence topology and responding to several comments (N. Baigent (1984, 1985, 1987, 1989), N. Baigent and P. Huang (1990) and M. LeBreton and J. Uriarte (1900 a, b)....

The theory of social choice introduced in [5,6] is robust; it is completely independent of the choice of topology on spaces of preference. This theory has been fruitful in linking diverse forms of resource allocation; it has been shown [17] that contractibility is necessary and sufficient for...

90 Classical problems in economics are concerned with the solutions of several simultaneous nonlinear optimization problems, one for each consumer or producer, all facing constraints posed by the scarcity of resources. Often their interests conflict, and it is generally impossible to find a...

Social well-being is intrinsically multidimensional. Welfare indices attempting to reduce this complexity to a unique measure abound in many areas of economics and public policy. Ranking alternatives based on such measures depends, sometimes critically, on how the different dimensions of welfare...

All democratic systems are theoretically open to so-called election inversions, i.e., instances wherein a majority of the decision makers prefer one alternative but where the actual outcome is another. The paper examines the complex 1975 Danish government formation process, which involved five...