The Efficiency of Fair Division

  • Authors:

  • Ioannis Caragiannis;Christos Kaklamanis;Panagiotis Kanellopoulos;Maria Kyropoulou

  • Affiliations:

  • University of Patras, Research Academic Computer Technology Institute and Department of Computer Engineering and Informatics, 26504, Rio, Greece;University of Patras, Research Academic Computer Technology Institute and Department of Computer Engineering and Informatics, 26504, Rio, Greece;University of Patras, Research Academic Computer Technology Institute and Department of Computer Engineering and Informatics, 26504, Rio, Greece;University of Patras, Research Academic Computer Technology Institute and Department of Computer Engineering and Informatics, 26504, Rio, Greece

  • Venue:
  • Theory of Computing Systems
  • Year:
  • 2012

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Abstract

In this paper we study the impact of fairness on the efficiency of allocations. We consider three different notions of fairness, namely proportionality, envy-freeness, and equitability for allocations of divisible and indivisible goods and chores. We present a series of results on the price of fairness under the three different notions that quantify the efficiency loss in fair allocations compared to optimal ones. Most of our bounds are either exact or tight within constant factors. Our study is of an optimistic nature and aims to identify the potential of fairness in allocations.