Sustainable Usability Distribution Mechanisms under Multi-Attribute Sports Management Schemes

Abstract

Recently, game-theoretical methods have been adopted to analyze the reasonability of usability distribution mechanisms. On the other hand, sustainability has become a major conception among many fields by focusing on various influences that arose from environmental change, including usability distribution under multi-attribute sports management schemes. In many real-world situations, however, performers and its energy levels (strategies) should be essential factors simultaneously. Based on maximal-usability among energy level (strategy) vectors, we define an output, its efficacious extension and normalization to analyze usability distribution mechanisms under multi-attribute sports management schemes. We also adopt axiomatic processes to present the reasonability for these outputs. By considering reduced scheme and excess mapping, we adopt alternative formulation to offer dynamic processes for the efficacious extension and the normalization, respectively.