In Turkey, after the 1999 Gölcük Earthquake, urban redevelopment has been seen as a major solution for the removal or rehabilitation of low quality urban settlements. Several laws and bylaws have been passed to this end. One of the major task of this transformation and/or redevelopment is to...

Polluted rivers are harmful to human, animals and plants living along it. To reduce the harm, cleaning costs are generated. However, when the river passes through several different countries or regions, a relevant question is how should the costs be shared among the agents. Ni and Wang (2007)...

This paper analyzes the 1-nucleolus and, in particular, its relation to the nucleolus and compromise value. It is seen that the 1-nucleolus of a cooperative game can be characterized using a combination of standard bankruptcy rules for associated bankruptcy problems. In particular, for any...

The Mekong River is the major water source in Southeast Asia and shared by six countries. There is a rush to acquire sources of alternative energy and other benefits to meet the growing demand for water and energy, while China and Myanmar have refused to cooperate fully in the Mekong River...

We consider the problem of efficient emission abatement in a multi polluter setting, where agents are located along a river in which net emissions accumulate and induce negative externalities to downstream riparians. Assuming a cooperative transferable utility game, we seek welfare distributions...

Least-Unmatched Price Auctions have become a popular format of TV and radio shows. Increasingly, they are also applied in internet trading. In these auctions the lowest single (unique) bid wins. We analyze the game-theoretic solution of least unmatched price auctions when prize, bidding cost and...

A set of necessary and sufficient conditions for convexity of a transferable utility game in terms of its decomposition into unanimity games is shown to be minimal: none of the conditions is redundant. The result is used to provide an axiomatization of the Shapley value on the set of convex games.

Fair representation of voters in a committee representing different voters' groups is being broadly discussed during last few years. Assuming we know what the fair representation is, there exists a problem of optimal quota: given a fair distribution of voting weights, how to set up voting rule...

The concept of fairness is being discussed related to the distribution of voting power among different actors of voting. We are using the following, intuitively natural principle of fairness: each unit of resources (shares, seats) should yield the same voting power (influence). Voting power is...

The concept of fair representation of voters in a committee representing different voters' groups, such as national representations in union of states, is discussed. This concept, introduced into discussion about voting rights in the Council of European Union in 2004, was narrowed to proposal of...