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Brief Announcement: On the Fair Subset Sum Problem

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Algorithmic Game Theory (SAGT 2015)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 9347))

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Abstract

This work considers a fair allocation problem, called the Fair Subset Sum problem (FSSP), where a common and bounded resource is to be shared among two agents A and B. Each agent is willing to select a set of items from an available ground set of weighted items. We address two types of items structure. In the Separate Items case, each agent owns a set of items having nonnegative weights and each agent can only use its own items. In the Shared Items case the agents select the items from the same ground set.

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References

  1. Bertsimas, D., Farias, V., Trichakis, N.: The price of fairness. Oper. Res. 59(1), 17–31 (2011)

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  2. Caragiannis, I., Kaklamanis, C., Kanellopoulos, P., Kyropoulou, M.: The efficiency of fair division. In: Leonardi, S. (ed.) WINE 2009. LNCS, vol. 5929, pp. 475–482. Springer, Heidelberg (2009)

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  3. Darmann, A., Nicosia, G., Pferschy, U., Schauer, J.: The subset sum game. Eur. J. Oper. Res. 233(3), 539–549 (2014)

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  4. Kelly, F.P., Maulloo, A.K., Tan, D.K.H.: Rate control in communication networks: shadow prices, proportional fairness, and stability. J. Oper. Res. Soc. 49, 237–252 (1998)

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Correspondence to Ulrich Pferschy .

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Nicosia, G., Pacifici, A., Pferschy, U. (2015). Brief Announcement: On the Fair Subset Sum Problem. In: Hoefer, M. (eds) Algorithmic Game Theory. SAGT 2015. Lecture Notes in Computer Science(), vol 9347. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-48433-3_28

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  • DOI: https://doi.org/10.1007/978-3-662-48433-3_28

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-48432-6

  • Online ISBN: 978-3-662-48433-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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