Sponsored games with fuzzy coalition

• Main Author: Victoria, Renato Alberto U., Jr.
• Format: text
• Language: English
• Published: Animo Repository 2015
• Subjects: Fuzzy mathematics; Mathematics
• Online Access: https://animorepository.dlsu.edu.ph/etd_doctoral/480
• Institution: De La Salle University

Sponsorship is now a common thing in our society. In 2012, Nocon[1] introduced a game which models sponsorship, called sponsored game. In this type of game, there are two sets of players, the sponsors and the team players. The sponsors will try to create coalitions among the team members by offering rewards. The team members will choose coalitions that will yield them the best rewards in terms of allocations. Choosing a coalition is a common case, but in most cases, team members choose and join multiple coalitions with different level of participation. In this paper we study 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.