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¡Ú¥¿¥¤¥È¥ë¡ÛMany-to-one matching markets with externalities of firms
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³µÍס§ We analyze a many-to-one matching market where each firm's gross profit depends not only on the workers it may hire, but also on the workers hired by the other firms. We assume that a firm and workers deviate from an outcome, keeping fixed the other agents' assignments, and define the stability concept based on the criterion. With flexible salaries, if each firm's gross profit satisfies the gross substitutes condition and the separable condition, then there exists a weakly stable outcome. With fixed salaries, the substitutability condition and order preservation for rival equivalence are a sufficient condition for the existence of a weakly stable outcome. Especially, in flexible salaries, it is difficult to ensure the existence of a weakly stable outcome without a stringent condition that a firm's marginal returns for hiring workers do not depend on how the others match.
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