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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
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    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.
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