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The Bird Core for Minimum Cost Spanning Tree problems Revisited : Monotonicity and Additivity Aspects

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  • Tijs, S.H.

    (Tilburg University, School of Economics and Management)

  • Moretti, S.
  • Brânzei, R.

    (Tilburg University, School of Economics and Management)

  • Norde, H.W.

    (Tilburg University, School of Economics and Management)

Abstract

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Suggested Citation

  • Tijs, S.H. & Moretti, S. & Brânzei, R. & Norde, H.W., 2005. "The Bird Core for Minimum Cost Spanning Tree problems Revisited : Monotonicity and Additivity Aspects," Other publications TiSEM 530f2c60-024d-4f3e-b724-1, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:530f2c60-024d-4f3e-b724-127df54ff3f5
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    References listed on IDEAS

    as
    1. Norde, Henk & Moretti, Stefano & Tijs, Stef, 2004. "Minimum cost spanning tree games and population monotonic allocation schemes," European Journal of Operational Research, Elsevier, vol. 154(1), pages 84-97, April.
    2. Brânzei, R. & Tijs, S.H., 2001. "Additivity Regions for Solutions in Cooperative Game Theory," Other publications TiSEM 11d16301-ce3b-4ba9-93a3-7, Tilburg University, School of Economics and Management.
    3. Feltkamp, V. & Tijs, S.H. & Muto, S., 1994. "On the irreducible core and the equal remaining obligations rule of minimum cost spanning extension problems," Other publications TiSEM 56ea8c64-a05f-4b3f-ab61-9, Tilburg University, School of Economics and Management.
    4. Feltkamp, V. & Tijs, S.H. & Muto, S., 1994. "On the irreducible core and the equal remaining obligations rule of minimum cost spanning extension problems," Discussion Paper 1994-106, Tilburg University, Center for Economic Research.
    5. Pham Do, K.H. & Moretti, S. & Norde, H.W. & Tijs, S.H., 2002. "Connection problems in mountains and monotonic cost allocation schemes," Other publications TiSEM 98019ba4-13a2-470b-9850-f, Tilburg University, School of Economics and Management.
    6. Sprumont, Yves, 1990. "Population monotonic allocation schemes for cooperative games with transferable utility," Games and Economic Behavior, Elsevier, vol. 2(4), pages 378-394, December.
    7. Stefano Moretti & Henk Norde & Kim Pham Do & Stef Tijs, 2002. "Connection problems in mountains and monotonic allocation schemes," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 10(1), pages 83-99, June.
    8. Feltkamp, V. & Tijs, S.H. & Muto, S., 1994. "Minimum cost spanning extension problems : The proportional rule and the decentralized rule," Other publications TiSEM 2c6cd46b-7e72-4262-a479-3, Tilburg University, School of Economics and Management.
    9. Tijs, Stef & Branzei, Rodica & Moretti, Stefano & Norde, Henk, 2006. "Obligation rules for minimum cost spanning tree situations and their monotonicity properties," European Journal of Operational Research, Elsevier, vol. 175(1), pages 121-134, November.
    10. Brânzei, R. & Tijs, S.H. & Timmer, J.B., 2001. "Information collecting situations and bi-monotonic allocation schemes," Other publications TiSEM b1fe5187-5a46-460d-aaeb-9, Tilburg University, School of Economics and Management.
    11. Brânzei, R. & Moretti, S. & Norde, H.W. & Tijs, S.H., 2003. "The P-Value for Cost Sharing in Minimum Cost Spanning Tree Situations," Discussion Paper 2003-129, Tilburg University, Center for Economic Research.
    12. Rodica Brânzei & Stef Tijs & Judith Timmer, 2001. "Information collecting situations and bi-monotonic allocation schemes," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 54(2), pages 303-313, December.
    13. Juan J. Vidal-Puga & Gustavo Bergantiños, 2004. "Defining Rules in Cost Spanning Tree Problems Through the Canonical Form," Working Papers 2004.97, Fondazione Eni Enrico Mattei.
    14. Brânzei, R. & Tijs, S.H., 2001. "Additivity Regions for Solutions in Cooperative Game Theory," Discussion Paper 2001-81, Tilburg University, Center for Economic Research.
    15. Dragan, I. & Potters, J.A.M. & Tijs, S.H., 1989. "Superadditivity for solutions of coalitional games," Other publications TiSEM 283e2594-e3a0-418d-ae5e-2, Tilburg University, School of Economics and Management.
    16. Stefano Moretti & Rodica Branzei & Henk Norde & Stef Tijs, 2004. "The P-value for cost sharing in minimum," Theory and Decision, Springer, vol. 56(1), pages 47-61, April.
    17. Tijs, S.H. & Brânzei, R. & Moretti, S. & Norde, H.W., 2004. "Obligation Rules for Minimum Cost Spanning Tree Situations and their Monotonicity Properties," Other publications TiSEM 78d24994-1074-4329-b911-c, Tilburg University, School of Economics and Management.
    18. Ichiishi, Tatsuro, 1981. "Super-modularity: Applications to convex games and to the greedy algorithm for LP," Journal of Economic Theory, Elsevier, vol. 25(2), pages 283-286, October.
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    Citations

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    Cited by:

    1. Dutta, Bhaskar & Mishra, Debasis, 2012. "Minimum cost arborescences," Games and Economic Behavior, Elsevier, vol. 74(1), pages 120-143.
    2. Tijs, Stef & Branzei, Rodica & Moretti, Stefano & Norde, Henk, 2006. "Obligation rules for minimum cost spanning tree situations and their monotonicity properties," European Journal of Operational Research, Elsevier, vol. 175(1), pages 121-134, November.
    3. repec:dau:papers:123456789/4922 is not listed on IDEAS
    4. Moretti, S. & Tijs, S.H. & Brânzei, R. & Norde, H.W., 2005. "Cost Monotonic "Cost and Charge" Rules for Connection Situations," Other publications TiSEM 52b2694e-5a67-4fec-a46b-1, Tilburg University, School of Economics and Management.
    5. Hernández, Penélope & Peris, Josep E. & Silva-Reus, José A., 2016. "Strategic sharing of a costly network," Journal of Mathematical Economics, Elsevier, vol. 66(C), pages 72-82.
    6. Moretti, S. & Tijs, S.H. & Brânzei, R. & Norde, H.W., 2005. "Cost Monotonic "Cost and Charge" Rules for Connection Situations," Discussion Paper 2005-104, Tilburg University, Center for Economic Research.

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