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Game of collusions

Author

Listed:
  • Malarz, Krzysztof
  • Kułakowski, Krzysztof

Abstract

A new model of collusions in an organization is proposed. Each actor ai=1,…,N disposes one unique good gi=1,…,N. Each actor ai has also a list of other goods which he/she needs, in order from desired most to those desired less. Finally, each actor ai has also a list of other actors, initially ordered at random. The order in the last list means the order of the access of the actors to the good gi. A pair after a pair of actors tries to make a transaction. This transaction is possible if each of two actors can be shifted upwards in the list of actors possessed by the partner. Our numerical results indicate, that the average time of evolution scales with the number N of actors approximately as N2.9. For each actor, we calculate the Kendall’s rank correlation between the order of desired goods and actor’s place at the lists of the good’s possessors. We also calculate individual utility functions ηi, where goods are weighted according to how strongly they are desired by an actor ai, and how easily they can be accessed by ai. Although the individual utility functions can increase or decrease in the time course, its value averaged over actors and independent simulations does increase in time. This means that the system of collusions is profitable for the members of the organization.

Suggested Citation

  • Malarz, Krzysztof & Kułakowski, Krzysztof, 2016. "Game of collusions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 457(C), pages 377-390.
  • Handle: RePEc:eee:phsmap:v:457:y:2016:i:c:p:377-390
    DOI: 10.1016/j.physa.2016.03.068
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    References listed on IDEAS

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    1. Christoph Barmeyer & Ulrike Mayrhofer, 2014. "How has the French cultural and institutional context shaped the organization of the Airbus Group?," Post-Print hal-01071390, HAL.
    2. Christophe Sibertin-Blanc & Pascal Roggero & Françoise Adreit & Bertrand Baldet & Paul Chapron & Joseph El-Gemayel & Matthias Mailliard & Sandra Sandri, 2013. "SocLab: A Framework for the Modeling, Simulation and Analysis of Power in Social Organizations," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 16(4), pages 1-8.
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