Competitive prices of homogeneous goods in multilateral markets
We introduce a subclass of multi-sided assignment games that embodies markets with different types of firms that produce different types of homogeneous goods. These markets generalize bilateral Bohm-Bawerk horse markets. We describe the geometric and algebraic structure of the core, which is always nonempty. We also characterize the extreme points of the core and show that they are marginal worth vectors, although this does not hold for arbitrary multi-sided assignment games. Finally we show that prices that are obtained from core allocations are competitive and vice versa.
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- Roth,Alvin E. & Sotomayor,Marilda A. Oliveira, 1992.
Cambridge University Press, number 9780521437882.
- Roth, Alvin E. & Sotomayor, Marilda, 1992. "Two-sided matching," Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 16, pages 485-541 Elsevier.
- Sherstyuk, Katerina, 1998. "Efficiency in partnership structures," Journal of Economic Behavior & Organization, Elsevier, vol. 36(3), pages 331-346, August.
- Stuart, Harborne Jr, 1997. "The supplier-firm-buyer game and its m-sided generalization," Mathematical Social Sciences, Elsevier, vol. 34(1), pages 21-27, August.
- Hamers, Herbert & Klijn, Flip & Solymosi, Tamas & Tijs, Stef & Pere Villar, Joan, 2002. "Assignment Games Satisfy the CoMa-Property," Games and Economic Behavior, Elsevier, vol. 38(2), pages 231-239, February.
- Sherstyuk, K., 1997. "Multisided Matching Games," Department of Economics - Working Papers Series 544, The University of Melbourne.
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