Visualization of 3-dimensional bargaining problems

Abstract

This paper presents a visualization in three dimensions of the classical solutions of the bargaining problem for 3 agents. It provides a helpful tool for game theorists, economists and other researchers and professionals in these areas in order to visualize and compare the solutions over a wide family of bargaining problems and gain intuition about general results. The theory of bargaining, a branch of the Cooperative Game Theory, tries to find reasonable solutions when two or more agents have to decide over a wide variety of possible agreements among a family of conflictive situations. There are a lot of parameters entering in the description of the problem and also a large number of appealing solutions that have been defined in the literature. In order to compare and analize the behavior of different solutions for the different situations, is very important to have a visualization tool.