Balancedness Of The Class Of Infinite Permutation Games And Related Classes Of Games
Recently it is proved that all infinite assignment games have a non-empty core. Using this fact, and a technique suggested by L. S. Shapley for finite permutation games, we prove similar results for infinite permutation games. Infinite transportation games can be interpreted as a generalization of infinite assignment games. We show that infinite transportation games are balanced via a related assignment game. By using certain core elements of infinite transportation games it can be shown that infinite pooling games have a non-empty core.
Volume (Year): 09 (2007)
Issue (Month): 03 ()
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- Klijn, Flip & Tijs, Stef & Hamers, Herbert, 2000.
"Balancedness of permutation games and envy-free allocations in indivisible good economies,"
Elsevier, vol. 69(3), pages 323-326, December.
- Klijn, F. & Tijs, S.H. & Hamers, H.J.M., 2000. "Balancedness of permutation games and envy-free allocations in indivisible good economies," Other publications TiSEM b8df93ae-a2c4-4d53-849e-e, Tilburg University, School of Economics and Management.
- Klijn, F. & Tijs, S.H. & Hamers, H.J.M., 1999. "Balancedness of Permutation Games and Envy-Free Allocations in Indivisible Good Economies," Discussion Paper 1999-21, Tilburg University, Center for Economic Research.
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