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Ranking Auctions: A Cooperative Approach

Author

Listed:
  • JUAN APARICIO

    () (Operations Research Center (CIO), University Miguel Hernandez of Elche, Avda de la Universidad s/n, Elche, 03202, Spain)

  • NATIVIDAD LLORCA

    () (Operations Research Center (CIO), University Miguel Hernandez of Elche, Avda de la Universidad s/n, Elche, 03202, Spain)

  • JOAQUIN SANCHEZ-SORIANO

    () (Operations Research Center (CIO), University Miguel Hernandez of Elche, Avda de la Universidad s/n, Elche, 03202, Spain)

  • MANUEL A. PULIDO

    () (Depto. Estadística e Investigación Operativa, Universidad de Murcia, Campus de Espinardo, Facultad de Matemáticas, Murcia, 30071, Spain)

  • JULIA SANCHO

    (Consejería de Educación, Formación y Empleo., Comunidad Autónoma Región de Murcia, Avda. de la Fama 15, Murcia, 30071, Spain)

Abstract

In this paper, we deal with situations arising from markets where an Internet search service provider offers a service of listing firms in decreasing order according to what they have bid. We call these ranking auction situations and introduce the corresponding TU-games. The core, as well as the two friendly solutions for the corners of the market, in this class of games can be easily described using a related assignment game. We study the Alexia value and the Shapley value of this type of games. Using these solutions, we show which circumstances in the game are in favor of the provider and which are beneficial to the bidders.

Suggested Citation

  • Juan Aparicio & Natividad Llorca & Joaquin Sanchez-Soriano & Manuel A. Pulido & Julia Sancho, 2012. "Ranking Auctions: A Cooperative Approach," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 14(01), pages 1-19.
  • Handle: RePEc:wsi:igtrxx:v:14:y:2012:i:01:n:s021919891250003x
    DOI: 10.1142/S021919891250003X
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    References listed on IDEAS

    as
    1. Tijs, S.H., 2005. "The First Steps with Alexia, the Average Lexicographic Value," Discussion Paper 2005-123, Tilburg University, Center for Economic Research.
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    More about this item

    Keywords

    Cooperative games; ranking auctions; core; Alexia value; Shapley value; 91A12; 91B26;

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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