A Common Technology Using Game Theory for Marketing, Management and Scheduling

Abstract

In the present paper, the same technology suggested by Game Theory is used to offer solutions for three types of quite different applications. A marketing game is derived from a showroom advertising, where the cooperation of patrons determines the supplemental gain by means of game theoretic results.A flow game is derived from the management of a network with several owners, who cooperate to send a flow along the available routes, in order to get a supplemental assignment by means of game theoretic results. A scheduling game is derived from the scheduling of several jobs with a common due date, where the minimal total deviations from the due date, incurring early/late penalties, are shared by the units ordering the jobs, by means of game theoretic results. In the second and third case, the game is generated by a combinatorial algorithm, and in all cases, the problem is to divide fairly the total worth of the grand coalition. The proposed solution may be: the Egalitarian solution, the Egalitarian non separable contribution, the Shapley Value, the Cost Prenucleolus, etc., that is any efficient value may be taken as a solution.