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Computational aspects of assigning agents to a line

Author

Listed:
  • Haris Aziz
  • Jens Leth Hougaard
  • Juan D. Moreno-Ternero
  • Lars Peter Osterdal

Abstract

We consider the problem of assigning agents to slots on a line, where only one agent can be served at a slot and each agent prefers to be served as close as possible to his target. We introduce a general approach to compute aggregate gap-minimizing assignments, as well as gap-egalitarian assignments. The approach relies on an algorithm which is shown to be faster than general purpose algorithms for the assignment problem. We also extend the approach to probabilistic assignments and explore the computational features of existing, as well as new, methods for this setting.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Haris Aziz & Jens Leth Hougaard & Juan D. Moreno-Ternero & Lars Peter Osterdal, 2017. "Computational aspects of assigning agents to a line," LIDAM Reprints CORE 2915, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:2915
    Note: In : Mathematical Social Sciences, 90, 93-99, 2017
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    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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