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Subgame Perfection and the Rule of k Names

Author

Listed:
  • Ignacio García-Jurado

    (Universidade da Coruña)

  • Luciano Méndez-Naya

    (Universidade de Santiago de Compostela)

Abstract

In this paper we revisit the rule of k names from a game theoretic perspective. This rule can be described as follows. Given a set of candidates for a position, a committee (formed by the proposers) selects k elements of that set using a screening rule; then a single individual from outside the committee (the chooser) chooses for the position one of the k selected candidates. In this context we first give conditions for the existence of a subgame perfect equilibrium. Then we provide conditions for the existence of subgame perfect q-strong equilibria when the screening rule is $$\pi $$ π -majoritarian. Finally, we show that when the chooser can strategically appoint a delegate to choose on behalf of him, the conditions for the existence of subgame perfect q-strong equilibria are weaker.

Suggested Citation

  • Ignacio García-Jurado & Luciano Méndez-Naya, 2019. "Subgame Perfection and the Rule of k Names," Group Decision and Negotiation, Springer, vol. 28(4), pages 805-825, August.
    • Handle: RePEc:spr:grdene:v:28:y:2019:i:4:d:10.1007_s10726-019-09625-6
    DOI: 10.1007/s10726-019-09625-6
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    References listed on IDEAS

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    1. Fershtman, Chaim & Judd, Kenneth L & Kalai, Ehud, 1991. "Observable Contracts: Strategic Delegation and Cooperation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(3), pages 551-559, August.
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    4. Joaquín Pérez & José L. Jimeno & Estefanía García, 2012. "No Show Paradox in Condorcet k-voting Procedures," Group Decision and Negotiation, Springer, vol. 21(3), pages 291-303, May.
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    6. Josep M. Colomer, 1995. "Game Theory And The Transition To Democracy," Books, Edward Elgar Publishing, number 100.
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