Abstract
This paper deals with interactive multiple fund investment situations, in which investors can invest their capital in a number of funds. The investors, however, face some restrictions. In particular, the investment opportunities of an investor depend on the behaviour of the other investors. Moreover, the individual investment returns may differ. We consider this situation from a cooperative game theory point of view. Based on different assumptions modelling the gains of joint investment, we consider three corresponding games and analyse their properties. We propose an allocation process for the maximal total investment revenues.
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van Gellekom J, Potters J, Reijnierse J, Tijs S, Engel M (2000) Characterization of the Owen set of linear production processes. Game Econ Behav 32:139–156
Hitchcock F (1941) The distribution of a product from several sources to numerous localities. J Math Phys 20:224–230
O’Neill B (1982) A problem of rights arbitration from the Talmud. Math Soc Sci 2:345–371
Owen G (1975) On the core of linear production games. Math Program 9:358–370
Sánchez-Soriano J, López M, García-Jurado I (2001) On the core of transportation games. Math Soc Sci 41:215–225
Shapley L (1971) Cores of convex games. In J Game Theory 1:11–26
Topkis D (1998) Supermodularity and complementarity. Princeton University Press, Princeton
Wintein S (2002) Multiple fund investment: a game theoretic approach. Master’s thesis, Department of Econometrics and Operations Research, Tilburg University, Tilburg
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Ruud Hendrickx acknowledges financial support from the Netherlands Organisation for Scientific Research (NWO).
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Wintein, S., Borm, P., Hendrickx, R. et al. Multiple Fund Investment Situations and Related Games. Math Meth Oper Res 63, 413–426 (2006). https://doi.org/10.1007/s00186-006-0060-x
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DOI: https://doi.org/10.1007/s00186-006-0060-x