IDEAS home Printed from https://ideas.repec.org/a/baq/taprar/v4y2024i4p25-30.html
   My bibliography  Save this article

The graph theoretic formulation of the team formation problem based on the factor of competition

Author

Listed:
  • Anton Riabenko

    (National University «Zaporizhzhia Polytechnic»)

  • Elina Tereschenko

    (National University «Zaporizhzhia Polytechnic»)

  • Anna Bakurova

    (National University «Zaporizhzhia Polytechnic»)

  • Andrii Pyrozhok

    (National University «Zaporizhzhia Polytechnic»)

  • Olexiy Kuzkin

    (National University «Zaporizhzhia Polytechnic»)

Abstract

The object of the research is to increase the level of productivity of teamwork due to the effective selection of participants who demonstrate the highest level of productivity in cooperation. The presented research is aimed at the mathematical formalization of the problem of team formation based on the results of a series of competitions using graph-theoretic approaches. Each competition in this series involves teams with the same number of participants. The composition of the team necessarily changes for each subsequent competition.After the competitive series, the obtained information about the teams' composition and their results is evaluated for the success of the interaction of the participants, which can be used in the formation of successful teams. A graph-theoretic formalization of the team formation problem on a complete undirected weighted graph has been developed. The set of vertices of this graph corresponds to the set of potential participants. Each edge is weighted with a number that reflects the quality of the interaction between the two participants. A valid solution is to cover the graph with cliques, the size of which is determined by the number of team members. A mathematical model of a two-criterion problem with MAXSUM and MAXMIN criteria was built, where the first criterion evaluates the overall success of the created teams, the second criterion evaluates the «weakest link», allowing to choose the option that maximizes the minimum edge weights for each clique. A two-criterion objective function defines a Pareto set consisting of all Pareto optima in the set of admissible solutions. The algorithmic problem of finding the complete set of alternatives, which is a subset of the Pareto set of minimum power when the condition of equality of the objective functions for the complete set of alternatives and the Pareto set is fulfilled, is considered. The weight of the edges of the graph is calculated using the scores obtained during the series of competitions. In practice, the research results can be used as a basis for the development of team building techniques.

Suggested Citation

  • Anton Riabenko & Elina Tereschenko & Anna Bakurova & Andrii Pyrozhok & Olexiy Kuzkin, 2024. "The graph theoretic formulation of the team formation problem based on the factor of competition," Technology audit and production reserves, PC TECHNOLOGY CENTER, vol. 4(4(78)), pages 25-30, August.
  • Handle: RePEc:baq:taprar:v:4:y:2024:i:4:p:25-30
    DOI: 10.15587/2706-5448.2024.310570
    as

    Download full text from publisher

    File URL: https://journals.uran.ua/tarp/article/download/310570/302067
    Download Restriction: no

    File URL: https://libkey.io/10.15587/2706-5448.2024.310570?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Josse Delfgaauw & Robert Dur & Oke Onemu & Joeri Sol, 2022. "Team Incentives, Social Cohesion, and Performance: A Natural Field Experiment," Management Science, INFORMS, vol. 68(1), pages 230-256, January.
    2. Mira Fischer & Rainer Michael Rilke & B. Burcin Yurtoglu, 2023. "When, and why, do teams benefit from self-selection?," Experimental Economics, Springer;Economic Science Association, vol. 26(4), pages 749-774, September.
    3. Ertac, Seda & Gümren, Mert & Koçkesen, Levent, 2019. "Strategic feedback in teams: Theory and experimental evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 162(C), pages 1-23.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. David J. Cooper & Krista Saral & Marie Claire Villeval, 2021. "Why Join a Team?," Management Science, INFORMS, vol. 67(11), pages 6980-6997, November.
    2. Gwen-Jiro Clochard & Guillaume Hollard & Julia Wirtz, 2022. "More effort or better technologies? On the effect of relative performance feedback," Bristol Economics Discussion Papers 22/767, School of Economics, University of Bristol, UK.
    3. Goulas, Sofoklis & Megalokonomou, Rigissa, 2021. "Knowing who you actually are: The effect of feedback on short- and longer-term outcomes," Journal of Economic Behavior & Organization, Elsevier, vol. 183(C), pages 589-615.
    4. Ingebretsen Carlson, Jim & Wu, Tingting, 2022. "Shill bidding and information in eBay auctions: A Laboratory study," Journal of Economic Behavior & Organization, Elsevier, vol. 202(C), pages 341-360.
    5. Julius Duker & Alexander Rieber, 2024. "Performance, Knowledge Acquisition and Satisfaction in Self-selected Groups: Evidence from a Classroom Field Experiment," Papers 2403.12694, arXiv.org.
    6. Max Thon & Oliver Gürtler & Matthias Heinz & Kai Schäfer & Dirk Sliwka, 2024. "Strategic incentives in intermediary markets: Field-experimental evidence," ECONtribute Discussion Papers Series 297, University of Bonn and University of Cologne, Germany.
    7. Fischer, Mira & Rilke, Rainer Michael & Yurtoglu, B. Burcin, 2020. "Two field experiments on self-selection, collaboration intensity, and team performance," Discussion Papers, Research Unit: Market Behavior SP II 2020-201, WZB Berlin Social Science Center.
    8. Alexander Coutts & Boon Han Koh & Zahra Murad, 2024. "The signals we give: Performance feedback, gender, and competition," Working Papers in Economics & Finance 2024-02, University of Portsmouth, Portsmouth Business School, Economics and Finance Subject Group.
    9. Timm Opitz, 2024. "Interpersonal Preferences and Team Performance: The Role of Liking in Complex Problem Solving," Rationality and Competition Discussion Paper Series 492, CRC TRR 190 Rationality and Competition.
    10. Mira Fischer & Rainer Michael Rilke & B. Burcin Yurtoglu, 2023. "When, and why, do teams benefit from self-selection?," Experimental Economics, Springer;Economic Science Association, vol. 26(4), pages 749-774, September.
    11. Dietrichson, Jens & Gudmundsson, Jens & Jochem, Torsten, 2022. "Why don’t we talk about it? Communication and coordination in teams," Journal of Economic Behavior & Organization, Elsevier, vol. 197(C), pages 257-278.
    12. Coutts, Alexander, 2019. "Testing models of belief bias: An experiment," Games and Economic Behavior, Elsevier, vol. 113(C), pages 549-565.
    13. Haylock, Michael & Kampkötter, Patrick & Kosfeld, Michael & Von Siemens, Ferdinand, 2023. "Helping and Antisocial Behavior in the Workplace," CEPR Discussion Papers 18154, C.E.P.R. Discussion Papers.
    14. Elisa Hofmann, 2020. "The power of close relationships and audiences: Interpersonal closeness and payment observability as determinants of voluntary payments," Jena Economics Research Papers 2020-016, Friedrich-Schiller-University Jena.
    15. Butz, Britta & Harbring, Christine, 2020. "Donations as an incentive for cooperation in public good games," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 85(C).
    16. Anders Frederiksen & Daniel Baltzer Schjødt Hansen & Colleen Flaherty Manchester, 2024. "Group-Based Incentives and Individual Performance: A Study of the Effort Response," ILR Review, Cornell University, ILR School, vol. 77(2), pages 273-293, March.
    17. Elias Bouacida & Renaud Foucart & Maya Jalloul, 2024. "Decreasing Differences in Expert Advice," Working Papers 408394204, Lancaster University Management School, Economics Department.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:baq:taprar:v:4:y:2024:i:4:p:25-30. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Iryna Prudius (email available below). General contact details of provider: https://journals.uran.ua/tarp/issue/archive .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.