A cooperative game theory application in chicks brood food allocation by using shapley value method in good years data

Abstract

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. During this paper 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. Most interesting is to specifically address the properties that cause these solutions because these would be most useful to find motivation for the particular solution concept found in nature. The goal is to anticipate moves to create, which is able to cause ultimate victory.

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References

Md Obaidul Haque,S. Akter and A. Hossen, “A cooperative game theory application in chicks brood food allocation by using shapely value method in bad years data”, American Journal of Innovative Research and Applied Sciences, vol. 10, pp. 222-227, 2020.

Shapley L.S. A Value for n-Person Games, "In Contributions to the Theory of Games", Annals of Mathematics Studies. vol. II, no. 28, pp. 307-317, H.W. Kuhn and A.W. Tucker, eds., Princeton University Press, 1953.

Haake C-J., Kashiwada A., and Su F.E. “The Shapley value of phylogenetic trees”, Working papers, Bielefeld University, Institute of Mathematical Economics, 2005.

L.S. Shapley, A Value for n-Person Games, "In Contributions to the Theory of Games", Annals of Mathematics Studies, vol. II, no. 28, pp. 307-317, H.W. Kuhn and A.W. Tucker, eds., Princeton University Press, 1953.

D. Monderer, D. Samet, and L.S. Shapley, "Weighted Values and the Core", International Journal of Game Theory, vol. 21, pp. 27-39, 1992.

A. Kar, M. Mitra, and S. Mutuswami, "On the coincidence of the prenucleolus and the Shapley value", Mathematical Social Sciences, Elsevier, vol. 57, no. 1, pp. 16-25, January 2009.

S. Forbes, "Sibling Symbiosis in Nestling Birds", Auk 124, pp. 1-10, 2007.

H. Bengtsson and O. Rydén, “Parental feeding rate in relation to begging behavior in asynchronously hatched broods of Great Tit Parus major”, Behavioral Ecology and Sociobiology, vol. 12, pp. 243–251, 1983.

B. Glassey and S. Forbes, “Muting individual nestlings reduces parental foraging for the brood”, Animal Behaviour 63, pp. 779–786, 2002.

L. H. Brown, V. Gargett, and P. Steyn, “Breeding success in some African eagles related to theories about sibling aggression and its effects”. Vol: 48, pp. 65–71, 1977.

Klaus Nehring and Clemens Puppe. A theory of diversity. Econometrica, vol. 70(3), pp. 1155–1198, 2002.

E. H. Dunn, “The relationship between brood size and age of effective homeothermy in nestling House Wrens”, Wilson Bulletin, vol. 88, pp. 478–482, 1976.

E. H. Dunn, “On the variability in energy allocation of nestling birds”, Auk 97, pp. 19–27, 1980.

R. M. Evans, M. O. Wiebe, S. C. Lee, and S. C. Bugden, “Embryonic and parental preferences for incubation temperature in Herring Gulls: Implications for parent- offspring conflict”, Behavioral Ecology and Sociobiology, vol. 36, pp. 17–23, 1995.

S. Forbes and B. Glassey, “Asymmetric sibling rivalry and nestling growth in Red- winged Blackbirds (Agelaius phoeniceus)”, Behavioral Ecology and Sociobiology, vol. 48, pp. 413–417, 2000.

S. Forbes, S. Thornton, B. Glassey, M. Forbes, and N. J. Buckley, “Why parent birds play favourites”, Nature 390, pp. 351–352, 1997.

Published
2020-10-30
How to Cite
Haque, O., Hossen, A., & Akter, S. (2020). A cooperative game theory application in chicks brood food allocation by using shapley value method in good years data. ITEGAM-JETIA, 6(25), 21-26. https://doi.org/10.5935/jetia.v6i25.692
Section
Articles