IDEAS home Printed from https://ideas.repec.org/a/spr/etbull/v9y2021i1d10.1007_s40505-020-00190-9.html
   My bibliography  Save this article

Weak transitivity and agenda control for extended stepladder tournaments

Author

Listed:
  • Yongjie Yang

    (Saarland University)

  • Dinko Dimitrov

    (Saarland University)

Abstract

A tournament graph over n players is weakly transitive at player p if it contains a Hamiltonian path $$\left( p_{1},p_{2}, \dots , p_{n}\right) $$ p 1 , p 2 , ⋯ , p n with $$ p_{1}=p$$ p 1 = p such that for all odd integers $$i\le n-2$$ i ≤ n - 2 there is an arc from $$p_{i}$$ p i to $$p_{i+2}$$ p i + 2 . We show that weak transitivity at p suffices to make player p win any extended stepladder tournament of degree at most two.

Suggested Citation

  • Yongjie Yang & Dinko Dimitrov, 2021. "Weak transitivity and agenda control for extended stepladder tournaments," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(1), pages 27-37, April.
    • Handle: RePEc:spr:etbull:v:9:y:2021:i:1:d:10.1007_s40505-020-00190-9
    DOI: 10.1007/s40505-020-00190-9
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s40505-020-00190-9
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s40505-020-00190-9?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. Arlegi, Ritxar & Dimitrov, Dinko, 2020. "Fair elimination-type competitions," European Journal of Operational Research, Elsevier, vol. 287(2), pages 528-535.
    2. Yongjie Yang & Jiong Guo, 2017. "Possible winner problems on partial tournaments: a parameterized study," Journal of Combinatorial Optimization, Springer, vol. 33(3), pages 882-896, April.
    3. K. J. Arrow & A. K. Sen & K. Suzumura (ed.), 2002. "Handbook of Social Choice and Welfare," Handbook of Social Choice and Welfare, Elsevier, edition 1, volume 1, number 1.
    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. Lombardi, Michele & Yoshihara, Naoki, 2016. "Partially-honest Nash Implementation with Non-connected Honesty Standards," Discussion Paper Series 633, Institute of Economic Research, Hitotsubashi University.
    2. Leo Katz & Alvaro Sandroni, 2020. "Limits on power and rationality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(2), pages 507-521, March.
    3. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2022. "Monotonicity in sharing the revenues from broadcasting sports leagues," European Journal of Operational Research, Elsevier, vol. 297(1), pages 338-346.
    4. List, Christian & Polak, Ben, 2010. "Introduction to judgment aggregation," Journal of Economic Theory, Elsevier, vol. 145(2), pages 441-466, March.
    5. Reiko Gotoh & Naoki Yoshihara, 2018. "Securing basic well-being for all," Review of Social Economy, Taylor & Francis Journals, vol. 76(4), pages 422-452, October.
    6. Jingyi Xue, 2018. "Fair division with uncertain needs," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(1), pages 105-136, June.
    7. Juan D Moreno-Ternero & John E Roemer, 2006. "Impartiality, Priority, and Solidarity in the Theory of Justice," Econometrica, Econometric Society, vol. 74(5), pages 1419-1427, September.
    8. Thibault Gajdos & John Weymark, 2005. "Multidimensional generalized Gini indices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(3), pages 471-496, October.
    9. Daniel Goller, 2023. "Analysing a built-in advantage in asymmetric darts contests using causal machine learning," Annals of Operations Research, Springer, vol. 325(1), pages 649-679, June.
    10. Satya Chakravarty & Ravi Kanbur & Diganta Mukherjee, 2006. "Population growth and poverty measurement," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(3), pages 471-483, June.
    11. Csató, László, 2023. "How to avoid uncompetitive games? The importance of tie-breaking rules," European Journal of Operational Research, Elsevier, vol. 307(3), pages 1260-1269.
    12. Nicola Acocella-super-, 2017. "The Rise And Decline Of Economic Policy As An Autonomous Discipline: A Critical Survey," Journal of Economic Surveys, Wiley Blackwell, vol. 31(3), pages 661-677, July.
    13. Markus Brill & Jean-François Laslier & Piotr Skowron, 2018. "Multiwinner approval rules as apportionment methods," Journal of Theoretical Politics, , vol. 30(3), pages 358-382, July.
    14. Craig, J. Dean & Winchester, Niven, 2021. "Predicting the national football league potential of college quarterbacks," European Journal of Operational Research, Elsevier, vol. 295(2), pages 733-743.
    15. Mulder, H.M. & Novick, B., 2011. "A simple axiomatization of the median procedure on median graphs," Econometric Institute Research Papers EI2011-25, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    16. Priscilla Man & Shino Takayama, 2013. "A unifying impossibility theorem," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(2), pages 249-271, October.
    17. François Maniquet & Philippe Mongin, 2015. "Approval voting and Arrow’s impossibility theorem," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(3), pages 519-532, March.
    18. Lombardi, M. & Yoshihara, N., 2018. "Treading a fine line: (Im)possibilities for Nash implementation with partially-honest individuals," Games and Economic Behavior, Elsevier, vol. 111(C), pages 203-216.
    19. Dimitrios Xefteris, 2011. "The political economy of constitutional restraints," Constitutional Political Economy, Springer, vol. 22(3), pages 221-237, September.
    20. Masahiro Kumabe & H. Reiju Mihara, 2008. "The Nakamura numbers for computable simple games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(4), pages 621-640, December.

    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:spr:etbull:v:9:y:2021:i:1:d:10.1007_s40505-020-00190-9. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.