This paper develops a probabilistic model for organ donation organizations. The two main examples are voluntary marrow donor registries and cord blood banks. The main characteristic of this system is to facilitate the graft of bone marrow or cord blood to patients. These grafts require a high...

Despite linear programming and duality have correctly been incorporated in algorithms to compute the nucleolus, we have found mistakes in how these have been used in a broad range of applications. Overlooking the fact that a linear program can have multiple optimal solutions and neglecting the...

In this paper we propose to address the issue of monetary economic models that can be used as teaching materials for courses in higher mathematics degree. Specifically, this work is based on a paper by Robert Barro and David Gordon (1983) which models the behavior of a closed economy, with a...

Exploitation of non–renewable resources is an intensively studied field of environmental economics in the last century. Since the influential Hotelling’s paper a huge progress is made in the depletable resources literature. Although a variety of methodologies is used in that problem’s...

We address the common scenario where a group of agents wants to divide a set of items fairly, and at the same time seeks to optimize a global goal. Suppose that each item is a task and we want to find an allocation that minimizes the completion time of the last task in an envy-free manner, where...

We distinguish between (i) voting systems in which voters can rank candidates and (ii) those in which they can grade candidates, such as approval voting, in which voters can give two grades—approve (1) or not approve (0)—to candidates. While two grades rule out a discrepancy between the...

Markets for natural resources and commodities are often oligopolistic. In these markets, production capacities are key for strategic interaction between the oligopolists. We analyze how different market structures influence oligopolistic capacity investments and thereby affect supply, prices and...

Almost all results on competitive product positioning derived in the literature so far are based on the hypothesis that static Nash equilibria of profit-maximizing competitors are accurate predictors of final market configurations. If the positioning behavior of firms differs from this...

The present paper develops a basic framework for evaluating and optimizing profits in a business operation. In developing a business we are often faced with an infinity of choices ranging from what products or services to sell and what customers to target to how to structure and manage the...