Labor Time Shared In The Assignment Game Generating New Cooperative And Competitive Structures
Aiming to obtain new characterizations for the concepts of core, cooperative equilibrium and competitive equilibrium, and new correlations among these concepts, we introduce labor time into the assignment game. Two many-to-many matching models are obtained, distinguished by the nature of the agreements - rigid and flexible. An example illustrates that the characteristic function form does not always fully represent the cooperative structure of the two markets. Two different notions of demand correspondence generate distinct sets of competitive equilibrium allocations. The connection between the cooperative structures of both markets and the cooperative and competitive structures of each market is established through five cooperative solution sets proved to be non-empty, distinct and correlated by the set inclusion - one set is a superset of the next: the maximal set is the core; the second one characterizes the cooperative equilibria for the rigid market; the third set characterizes the cooperative equilibria for the flexible market; the other two sets characterize the competitive equilibrium allocations for the two competitive markets.
|Date of creation:||19 Feb 2013|
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- Camina, Ester, 2006.
"A generalized assignment game,"
Mathematical Social Sciences,
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- Ester Cami?, 2002. "A Generalized Assignment Game," UFAE and IAE Working Papers 514.02, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
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- Fagebaume, Alexis & Gale, David & Sotomayor, Marilda, 2010. "A note on the multiple partners assignment game," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 388-392, July.
- Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November. Full references (including those not matched with items on IDEAS)
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