In this paper I will analyse the redistribution of income amongst n generations using the Single-mindedness Theory. I will introduce a new expression for the balanced-budget constraint, no longer based on lump- sum transfers as in the traditional literature, but rather on more realistic labour...

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...

As it is known, there is no rule satisfying Additivity in the complete domain of bankruptcy problems. This paper proposes a notion of partial Additivity in this context, to be called m-additivity. We find that m-additivity, together with two quite compelling axioms, anonymity and continuity,...

Gale and Shapley (1962) proposed the deferred-acceptance algorithm for matching (i) college applicants and colleges and (ii) men and women. In the case of the latter, it produces either one or two stable matches whereby no man and woman would prefer to be matched with each other rather than with...

The Median Voter Theorem is an extremely popular result in Political Economy that holds only if the policy space is unidimensional. This assumption restricts its use to a class of very simple problems. In most applications in the literature this implied an oversimplification of the problem...

We study political distortions that emerge in situations where agents’ political power is disproportionate with respect to their economic power. We use the Shapley value to evaluate both the economic and the political power. We show that usual weighted majority voting cannot prevent political...

The application of game theory and cognitive economy to analyze the problem of undesired location - The analysts of the processes of public bodies decision - taking have long been discussing on the establishment of proper strategies to manage "environmental conflicts" - above all the so-called...

In Hart and Kurz (1983), stability and formation of coalition structures has been investigated in a noncooperative framework in which the strategy of each player is the coalition he wishes to join. However, given a strategy profile, the coalition structure formed is not unequivocally determined....

Classify simple games into sixteen "types" in terms of the four conventional axioms: monotonicity, properness, strongness, and nonweakness. Further classify them into sixty-four classes in terms of finiteness (existence of a finite carrier) and computability. For each such class, we either show...

In this paper, we study the long-played, yet until now unmodeled, college admissions game over early admissions plans using a many-to-one matching framework. We characterize the equilibrium strategies of each college involving its early quota out of its total capacity, and the set of admissible...