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Games with Capacity Manipulation: Incentives and Nash Equilibria

Antonio Romero-Medina and Matteo Triossi
Authors registered in the RePEc Author Service: Antonio Romero Medina

No 280, Documentos de Trabajo from Centro de Economía Aplicada, Universidad de Chile

Abstract: Studying the interaction between preference and capacity manipulation in matching markets, we prove that acyclicity is a necessary and su!cient condition that guarantees the stability of a Nash equilibrium and the strategy-proofness of truthful capacity revelation under the hospital-optimal and intern-optimal stable rules. we then introduce generalized capacity manipulations games where hospitals move first and state their capacities, and interns are subsequently assigned to hospitals using a sequential mechanism. In this setting, we first consider stable revelation mechanisms and introduce conditions guaranteeing the stability of the outcome. Next, we prove that every stable non-revelation mechanism leads to unstable allocations, unless restrictions on the preferences of the agents are introduced. JEL Classification Numbers: C71, C78, D71, D78.

Date: 2011
New Economics Papers: this item is included in nep-gth and nep-mic
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Related works:
Journal Article: Games with capacity manipulation: incentives and Nash equilibria (2013) Downloads
Working Paper: Games with capacity manipulation: incentives and Nash equilibria (2011) Downloads
Working Paper: Games of Capacities: A (Close) Look to Nash Equilibria (2007) Downloads
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