Cake cutting is a common metaphor for the division of a heterogeneous divisible good. There are numerous papers that study the problem of fairly dividing a cake; a small number of them also take into account self-interested agents and consequent strategic issues, but these papers focus on...

We analyze a simple sequential algorithm (SA) for allocating indivisible items that are strictly ranked by n ≥ 2 players. It yields at least one Pareto-optimal allocation which, when n = 2, is envy-free unless no envy-free allocation exists. However, an SA allocation may not be maximin or...

An allocation of indivisible items among n ≥ 2 players is proportional if and only if each player receives a proportional subset—one that it thinks is worth at least 1/n of the total value of all the items. We show that a proportional allocation exists if and only if there is an allocation...

For the hypothetical deposit with parameters similar to KWB “Konin” S.A. conditions; lignite prices and proposed divisions are calculated and results were discussed under the angle of the fairness (equity) of the division and the possibility of their approval by both sides. A sensitivity...

Different structures of lignite mines and power stations, which have appeared on the Polish market as a result of its transformation and the privatisation, were discussed. The attention is focused on the fact that the practice is overtaking the theory because there is lack of models of...

For methods of the profit division in the bilateral monopoly of the mine and the power station sug-gested in the first part of this paper the formulae for lignite price and shares in the joint profit of the mine and the power station are calculated. The proposed profit division contain: the...

We consider a situation in which a central authority must allocate non-tradeable and non-marketable goods between a group of individuals in a fair way. There are exogenous divisibility constraints imposed on the goods to be allocated. The authority has absolutely no information on the...

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...