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Potential maximizers and network formation

Author

Listed:
  • Slikker, M.

    (Tilburg University, School of Economics and Management)

  • Dutta, B.
  • Tijs, S.H.

    (Tilburg University, School of Economics and Management)

  • van den Nouweland, C.G.A.M.

Abstract

In this paper we study the formation of cooperation structures in superadditive cooperative TU-games.Cooperation structures are represented by hypergraphs.The formation process is modelled as a game in strategic form, where the payoffs are determined according to a weighted (extended) Myerson value.This class of solution concepts turns out to be the unique class resulting in weighted potential games.The argmax set of the weighted potential predicts the formation of the complete structure and structures payoff-equivalent to the complete structure.As by-products we obtain a representation theorem of weighted potential games in terms of weighted Shapley values and a characterization of the weighted (extended) Myerson values.
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Suggested Citation

  • Slikker, M. & Dutta, B. & Tijs, S.H. & van den Nouweland, C.G.A.M., 2000. "Potential maximizers and network formation," Other publications TiSEM a4848315-a441-4d55-acde-9, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:a4848315-a441-4d55-acde-9ffc68edc790
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    Citations

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    Cited by:

    1. Slikker, M. & Gilles, R.P. & Norde, H.W. & Tijs, S.H., 2000. "Directed Communication Networks," Discussion Paper 2000-84, Tilburg University, Center for Economic Research.
    2. repec:ebl:ecbull:v:3:y:2003:i:12:p:1-11 is not listed on IDEAS
    3. Arnold, Tone & Wooders, Myrna, "undated". "Dynamic Club Formation with Coordination," Economic Research Papers 269414, University of Warwick - Department of Economics.
    4. Rod Garratt & James E. Parco & Cheng-Zhong Qin & Amnon Rapoport, 2005. "Potential Maximization And Coalition Government Formation," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 7(04), pages 407-429.
    5. repec:cam:camjip:2104 is not listed on IDEAS
    6. Page Jr., Frank H. & Wooders, Myrna, 2009. "Strategic basins of attraction, the path dominance core, and network formation games," Games and Economic Behavior, Elsevier, vol. 66(1), pages 462-487, May.
    7. Page Jr., Frank H. & Wooders, Myrna, 2010. "Club networks with multiple memberships and noncooperative stability," Games and Economic Behavior, Elsevier, vol. 70(1), pages 12-20, September.
    8. repec:ebl:ecbull:v:3:y:2003:i:5:p:1-9 is not listed on IDEAS
    9. Roland K. Cheo, 2007. "Adopting Shapley values to address embedding biases in contingent valuation studies," Applied Economics Letters, Taylor & Francis Journals, vol. 14(10), pages 765-768.
    10. Slikker, Marco, 2001. "Coalition Formation and Potential Games," Games and Economic Behavior, Elsevier, vol. 37(2), pages 436-448, November.
    11. Jun, Tackseung & Kim, Jeong-Yoo, 2009. "Hypergraph Formation Game," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 50(2), pages 1-16, December.
    12. Navarro Noemí & Perea Andres, 2013. "A Simple Bargaining Procedure for the Myerson Value," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 13(1), pages 131-150, May.
    13. Slikker, M. & Gilles, R.P. & Norde, H.W. & Tijs, S.H., 2000. "Directed Communication Networks," Other publications TiSEM 00f2df6e-3a8e-4ed3-84cf-2, Tilburg University, School of Economics and Management.
    14. Charlson, G., 2021. "Third-Degree Price Discrimination in the Age of Big Data," Cambridge Working Papers in Economics 2159, Faculty of Economics, University of Cambridge.
    15. Slikker, Marco & Gilles, Robert P. & Norde, Henk & Tijs, Stef, 2005. "Directed networks, allocation properties and hierarchy formation," Mathematical Social Sciences, Elsevier, vol. 49(1), pages 55-80, January.
    16. Filippo Vergara Caffarelli, 2009. "Networks with decreasing returns to linking," Temi di discussione (Economic working papers) 734, Bank of Italy, Economic Research and International Relations Area.
    17. Chen, J. & Elliott, M. & Koh, A., 2020. "Capability Accumulation and Conglomeratization in the Information Age," Cambridge Working Papers in Economics 2069, Faculty of Economics, University of Cambridge.

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