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1. Comilla University | Department of Mathematics | Cumilla-3506 | Bangladesh |
This article is made freely available as part of this journal's Open Access: ID| Haque-Ref.1-ajira290520 |
ABSTRACT Background: Game theory as well as cooperative game theory has played a vital role in many fields of research since its introduction within the early twentieth century.Coined by Shapley (1953), this one-point solution concept introduced in his paper has some desirable properties called efficiency, anonimity, dummy, and additivity. Methods: We study food allocation in chick broods from the attitude of cooperative theory of games. We would like to explore whether or not food distribution data fit into the known solution concepts of cooperative game theory to create an economic temperature within the biological field. A primary approach to be handled is that the incontrovertible fact that within the chick brood data we only see the solutions, while the starting position, the game, isn't immediately clear. In and of itself we'd like to reconstruct the game from the solutions given. A second approach is that by using the answer concepts Shapley value we would like to investigate which of those fits best. Results: The restricted structure of the brood datasets also enables the Shapley value solution concept to give a reasonable fit within a reasonable time. Conclusion: The better the game fits the solutions, the more we can trust the resulting system. Shapley value solution concept to tackle the chick brood food allocation problem. We also successfully translate the biological problem of chick’s food allocation into a cooperative game approach using various techniques known in literature. Keywords: Player, Core, Marginals, Coalitions, Hatching, Survival rate, Parental, Standard approach, Restricted Approach.