One-seller assignment markets with multi-unit demands: core and competitive equilibrium
We consider an assignment market with one seller who owns several indivisible heterogeneous goods and many buyers each willing to buy up to a given capacity. In this market, the core contains the Vickrey payoff vector. However, core allocations may not be supported by competitive equilibrium prices,...
| Autores: | , |
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| Tipo de documento: | artigo |
| Estado: | Versión aceptada para publicación |
| Data de publicação: | 2019 |
| País: | España |
| Recursos: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositório: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/150705 |
| Acesso em linha: | https://hdl.handle.net/2445/150705 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Agents comercials Economia de mercat Models economètrics Equilibri (Economia) Commercial agents Market economy Econometric models Equilibrium (Economics) |
| Resumo: | We consider an assignment market with one seller who owns several indivisible heterogeneous goods and many buyers each willing to buy up to a given capacity. In this market, the core contains the Vickrey payoff vector. However, core allocations may not be supported by competitive equilibrium prices, even in a finite replication of the market. We first characterize the convexity of the associated coalitional game and we show that it is a sufficient condition so that the buyers‐optimal core allocation is competitive. With respect to the seller‐optimal core allocation, we provide a characterization of competitiveness by means of buyers' valuations. In addition, we characterize in terms of the valuation matrix the coincidence between the core and the set of competitive equilibrium payoff vectors. |
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