IDEAS home Printed from https://ideas.repec.org/a/bpj/bejtec/v8y2008i1n19.html
   My bibliography  Save this article

Connectivity and Allocation Rule in a Directed Network

Author

Listed:
  • Kim Jeong-Yoo

    (Kyung Hee University, jyookim@khu.ac.kr)

  • Jun Tackseung

    (Kyung Hee University, tj32gm@gmail.com)

Abstract

We introduce a new notion of connectivity, what we call weak connectivity, in a directed network where communication is one-way, and show that weak connectivity is equivalent to the usual concept of connectivity if the outdegree of each node is at most one, referred as the [DC] condition. Based on weak connectivity, we define an allocation rule in a directed network by applying the Shapley value type of consideration. We show that the allocation rule is the unique allocation rule satisfying component efficiency and equal bargaining power under the [DC] condition. If the [DC] condition does not hold, it fails to satisfy component efficiency, but can be shown to be the only allocation rule that satisfies equal bargaining power and quasi-component efficiency which is a weaker property.

Suggested Citation

  • Kim Jeong-Yoo & Jun Tackseung, 2008. "Connectivity and Allocation Rule in a Directed Network," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 8(1), pages 1-21, September.
    • Handle: RePEc:bpj:bejtec:v:8:y:2008:i:1:n:19
    DOI: 10.2202/1935-1704.1465
    as

    Download full text from publisher

    File URL: https://doi.org/10.2202/1935-1704.1465
    Download Restriction: For access to full text, subscription to the journal or payment for the individual article is required.
    File URL: https://libkey.io/10.2202/1935-1704.1465?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Roger B. Myerson, 1977. "Graphs and Cooperation in Games," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
    2. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
    3. Farrell, Joseph & Gibbons, Robert, 1989. "Cheap talk can matter in bargaining," Journal of Economic Theory, Elsevier, vol. 48(1), pages 221-237, June.
    4. 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.
    5. Joseph Farrell, 1987. "Cheap Talk, Coordination, and Entry," RAND Journal of Economics, The RAND Corporation, vol. 18(1), pages 34-39, Spring.
    6. Jeong-Yoo Kim, 1996. "Cheap Talk and Reputation in Repeated Pretrial Negotiation," RAND Journal of Economics, The RAND Corporation, vol. 27(4), pages 787-802, Winter.
    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. Olivier Gossner & Nicolas Melissas, 2006. "Informational Cascades Elicit Private Information ," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(1), pages 297-325, February.
    2. Sofia Priazhkina & Samuel Palmer & Pablo Martín-Ramiro & Román Orús & Samuel Mugel & Vladimir Skavysh, 2024. "Digital Payments in Firm Networks: Theory of Adoption and Quantum Algorithm," Staff Working Papers 24-17, Bank of Canada.
    3. Sanjeev Goyal & Adrien Vigier, 2014. "Attack, Defence, and Contagion in Networks," Review of Economic Studies, Oxford University Press, vol. 81(4), pages 1518-1542.
    4. Britta Hoyer & Kris De Jaegher, 2023. "Network disruption and the common-enemy effect," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(1), pages 117-155, March.
    5. Haller, Hans & Hoyer, Britta, 2019. "The common enemy effect under strategic network formation and disruption," Journal of Economic Behavior & Organization, Elsevier, vol. 162(C), pages 146-163.
    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. René Brink, 2012. "On hierarchies and communication," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(4), pages 721-735, October.
    8. 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.
    9. Timo Hiller, 2012. "Friends and Enemies: A Model of Signed Network Formation," Bristol Economics Discussion Papers 12/629, School of Economics, University of Bristol, UK.
    10. Grant, Simon & Quiggin, John, 1998. "The meeting place problem: Salience and search," Journal of Economic Behavior & Organization, Elsevier, vol. 33(2), pages 271-283, January.
    11. Bernard Herskovic & João Ramos, 2020. "Acquiring Information through Peers," American Economic Review, American Economic Association, vol. 110(7), pages 2128-2152, July.
    12. Zissimos, Ben, 2002. "WHY ARE TRADE AGREEMENTS REGIONAL? A Theory Based on Noncooperative Networks," The Warwick Economics Research Paper Series (TWERPS) 652, University of Warwick, Department of Economics.
    13. Jérôme Hergueux & Nicolas Jacquemet & Stéphane Luchini & Jason F. Shogren, 2022. "Leveraging the Honor Code: Public Goods Contributions under Oath," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 81(3), pages 591-616, March.
    14. repec:ehu:ikerla:13991 is not listed on IDEAS
    15. Tetsuo Yamamori & Kazuyuki Iwata, 2019. "Endogenous Social Preferences in Bargaining and Contract Enforcement," Working Papers e134, Tokyo Center for Economic Research.
    16. B. Hoyer, 2012. "Network Disruption and the Common Enemy Effect," Working Papers 12-06, Utrecht School of Economics.
    17. PAPACCIO, Anna, 2013. "Bilateralism and Multilateralism: a Network Approach," CELPE Discussion Papers 125, CELPE - CEnter for Labor and Political Economics, University of Salerno, Italy.
    18. Spencer, Michael A. & Shogren, Jason F., 2000. "Protocol for inexperienced Coasean bargainers confronting delay costs," Resource and Energy Economics, Elsevier, vol. 22(1), pages 79-90, January.
    19. Chirantan Ganguly & Indrajit Ray, 2013. "Information-Revelation and Coordination Using Cheap Talk in a Battle of the Sexes with Two-Sided Private Information," Discussion Papers 13-01r, Department of Economics, University of Birmingham.
    20. Sally, David, 2005. "Can I say "bobobo" and mean "There's no such thing as cheap talk"?," Journal of Economic Behavior & Organization, Elsevier, vol. 57(3), pages 245-266, July.
    21. Mariya Teteryatnikova & James Tremewan, 2020. "Myopic and farsighted stability in network formation games: an experimental study," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(4), pages 987-1021, June.

    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:bpj:bejtec:v:8:y:2008:i:1:n:19. 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: Peter Golla (email available below). General contact details of provider: https://www.degruyter.com .

    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.