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Algorithm for automatic computation of the power variations in share trandings

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Abstract

An existing algorithm, for automatic computation of the control power of the shareholders depending on their stock shares, has shown some difficulties of application when variations of the game resulting from share tradings were to follow (owing to the great number of necessary iterations of the algorithm). The present work, connecting the above technique with recent results on «critical stoks», proposes a by-way leading to a computational saving, which can be decisive in most practical applications. Moreover, an answer shall be given to a problem raised by J. W. Milnor and L. S. Shapley.

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Authors and Affiliations

  1. Dept. of Mathematics, Statistics, Informatics and Applications, University of Bergamo, Via Salvecchio 19, 24100, Bergamo

    G. Arcaini & G. Gambarelli

Authors
  1. G. Arcaini
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  2. G. Gambarelli
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Additional information

Sponsored by the C.N.R., contract n. 84.00580.10.

Sections 1, 2, 3 6 and computational tests are due to G. Arcaini; sections 4, 5 and 7 are due to G. Gambarelli).

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Arcaini, G., Gambarelli, G. Algorithm for automatic computation of the power variations in share trandings. Calcolo 23, 13–19 (1986). https://doi.org/10.1007/BF02576905

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  • DOI: https://doi.org/10.1007/BF02576905

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