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On Complexity Classes of Envy-Free Pricing Problems: A Short Survey

Author

Listed:
  • Marcos Salvatierra

    (University of Amazonas State)

  • Juan G. Colonna

    (Federal University of Amazonas)

  • Mario Salvatierra Jr.

    (Federal University of Amazonas)

  • Alcides de C. Amorim Neto

    (University of Amazonas State)

Abstract

Envy-free pricing problems model pricing situations where both seller’s revenue and buyers’ utilities are maximized. These problems imply a variety of theoretical approaches and practical applications in several fields of research and real-world situations. This paper aims to provide a comprehensive literature review on how distinct features change the computational complexity of envy-free pricing problems, showing a taxonomy of these problems and pointing out some prospects in the study of this topic.

Suggested Citation

  • Marcos Salvatierra & Juan G. Colonna & Mario Salvatierra Jr. & Alcides de C. Amorim Neto, 2024. "On Complexity Classes of Envy-Free Pricing Problems: A Short Survey," SN Operations Research Forum, Springer, vol. 5(4), pages 1-25, December.
  • Handle: RePEc:spr:snopef:v:5:y:2024:i:4:d:10.1007_s43069-024-00373-1
    DOI: 10.1007/s43069-024-00373-1
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    References listed on IDEAS

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    1. Ning Chen & Xiaotie Deng & Paul W. Goldberg & Jinshan Zhang, 2016. "On revenue maximization with sharp multi-unit demands," Journal of Combinatorial Optimization, Springer, vol. 31(3), pages 1174-1205, April.
    2. Grigoriev, A. & van Loon, J. & Sviridenko, M. & Uetz, M.J. & Vredeveld, T., 2008. "Optimal bundle pricing with monotonicity constraint," Research Memorandum 015, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    Full references (including those not matched with items on IDEAS)

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