Sponsored Game With Fuzzy Coalitions
R. A. U. Victoria, Jr. and E. Ganatuin-Nocon (pp. 75-86)
Abstract
Sponsorship is a way of expressing support where an individual or group gives provision (financial or in other forms) to an event, activity, person, or organization. When it comes to business, the two involved parties in a sponsorship are expected to engage in a mutual trading relationship so that each one expects to gain some benefit. In 2012, Nocon’s study introduced a game that models sponsorship, called sponsored game. In this type of game, there are two sets of players: the sponsors and the team players. The sponsors aim to create coalitions among the team members by offering them rewards. The team members will then choose to join coalitions that will yield them the best rewards in terms of allocations, and thus, crisp coalitions are formed so that each team player can only join one coalition at a time. But this is too restrictive in the sense that allowing a team member to join multiple coalitions could illustrate a real-life situation that may be modelled on a sponsored game. This paper studies sponsored game involving the concept of fuzzy coalitions in order to model situations that allow team players to specify various level of participation. Some allocation schemes for this type of game are also discussed, which includes establishing some relationship among these schemes.