The core of the games with fractional linear utility functions

Abstract

We consider fractional linear programming production games for the single-objective and multiobjective cases. We use the method of Chakraborty and Gupta (2002) in order to transform the fractional linear programming problems into linear programming problems. A cooperative game is attached and we prove the non-emptiness of the core by using the duality theory from the linear programming. In the multiobjective case, we give a characterization of the Stable outcome of the associate cooperative game, which is balanced. We also consider the cooperative game associated to an exchange economy with a finite number of agents.