Title

Sponsored games with fuzzy coalition

Date of Publication

2015

Document Type

Dissertation

Degree Name

Doctor of Philosophy in Mathematics

Subject Categories

Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics Department

Thesis Adviser

Edelina G. Nocon

Defense Panel Chair

Yvette F. Lim

Defense Panel Member

Raymond Girard R. Tan
Mariel Monica R. Sauler
Isagani B. Jos
Angelyn R. Lao

Abstract/Summary

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 o ering 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 di erent 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.

Abstract Format

html

Language

English

Format

Electronic

Accession Number

CDTG006784

Shelf Location

Archives, The Learning Commons, 12F Henry Sy Sr. Hall

Physical Description

1 computer optical disc; 4 3/4 in

Keywords

Fuzzy mathematics

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