Complements and substitutes in multilateral assignment markets
AbstractI prove that, in assignment markets with more than two sides, agents of different sides (or sectors) need not be complements, whereas agents of the same side need not be substitutes. Shapley (1962) showed that this cannot happen when assignment markets are bilateral. Nevertheless, I found sufficient conditions, that always hold for bilateral markets, that guarantee substitutability and a extended notion of complementarity among agents in arbitrary multilateral assignment markets. I also prove that Shapleys (1962) result always holds regardless the number of sectors of the market when goods in the market are homogeneous.
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Bibliographic InfoPaper provided by Universitat de Barcelona. Espai de Recerca en Economia in its series Working Papers in Economics with number 229.
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Date of creation: 2009
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Find related papers by JEL classification:
- C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
- C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-09-19 (All new papers)
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- Sherstyuk, K., 1997. "Multisided Matching Games," Department of Economics - Working Papers Series 544, The University of Melbourne.
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