A new method in matching market design by means of approximation mechanisms

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Matching mechanisms have recently been applied to the real-world use as a new means of resource allocation which does not utilize the price system. The present research aimed at expanding the applicability of matching mechanisms by designing new mechanisms. We looked at the types of matching which had not been much considered in application, and investigated their mathematical properties by means of both computer simulation and theoretical analysis. We have obtained some theoretical results including a significant one concerning the computational complexity in deciding the availability of "nice" mechanisms. This result was reported at an international conference.