Playing Tennis Without Envy

Mathematics Today, 52, pp. 268-269, 2016

5 Pages Posted: 27 Aug 2016 Last revised: 2 Apr 2017

See all articles by Josue Ortega

Josue Ortega

Center for European Economic Research

Date Written: August 25, 2016


A group of friends organizes their tennis games by submitting each their availability over the weekdays. They want to obtain an assignment such that: each game must be a double tennis match, i.e. requires four people, and nobody plays in a day he is unavailable. Can we construct assignments that will always produce efficient, fair, and envy-free outcomes? The answer is no, and extends to any sport that requires any group size.

Keywords: Assignment, Complementary, Cooperative Games, Envy-Free

JEL Classification: C71, C78

Suggested Citation

Ortega, Josue, Playing Tennis Without Envy (August 25, 2016). Mathematics Today, 52, pp. 268-269, 2016, Available at SSRN:

Josue Ortega (Contact Author)

Center for European Economic Research ( email )

L 7 1
Mannheim, 68161


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