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Shapley-Based Stackelberg Leadership Formation in Networks

Author

Listed:
  • Belik, Ivan

    (Dept. of Business and Management Science, Norwegian School of Economics)

  • Jörnsten, Kurt

    (Dept. of Business and Management Science, Norwegian School of Economics)

Abstract

In the given research we study a leadership formation of the most influential nodes in networks. Specifically, we analyze the competition between a leader and a follower based on the Stackelberg leadership model. Applying the concept of Shapley value to measure node’s importance, we represent the mechanism of Shapley-based Stackelberg leadership formation in networks. The approach is tested and represented in tabular and graphical formats.

Suggested Citation

  • Belik, Ivan & Jörnsten, Kurt, 2015. "Shapley-Based Stackelberg Leadership Formation in Networks," Discussion Papers 2015/16, Norwegian School of Economics, Department of Business and Management Science.
    • Handle: RePEc:hhs:nhhfms:2015_016
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    File URL: http://hdl.handle.net/11250/281471
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    References listed on IDEAS

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    1. Gert Sabidussi, 1966. "The centrality index of a graph," Psychometrika, Springer;The Psychometric Society, vol. 31(4), pages 581-603, December.
    2. Gul, Faruk, 1989. "Bargaining Foundations of Shapley Value," Econometrica, Econometric Society, vol. 57(1), pages 81-95, January.
    3. Gomez, Daniel & Gonzalez-Aranguena, Enrique & Manuel, Conrado & Owen, Guillermo & del Pozo, Monica & Tejada, Juan, 2003. "Centrality and power in social networks: a game theoretic approach," Mathematical Social Sciences, Elsevier, vol. 46(1), pages 27-54, August.
    4. Belik, Ivan & Jörnsten, Kurt, 2015. "The Analysis of Leadership Formation in Networks Based on Shapley Value," Discussion Papers 2015/2, Norwegian School of Economics, Department of Business and Management Science.
    5. Sergiu Hart, 2006. "Shapley Value," Discussion Paper Series dp421, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    6. S. C. Littlechild & G. Owen, 1973. "A Simple Expression for the Shapley Value in a Special Case," Management Science, INFORMS, vol. 20(3), pages 370-372, November.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Stackelberg competition; Shapley value; leadership; networks analysis;
    All these keywords.

    JEL classification:

    • C00 - Mathematical and Quantitative Methods - - General - - - General
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • Z13 - Other Special Topics - - Cultural Economics - - - Economic Sociology; Economic Anthropology; Language; Social and Economic Stratification

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