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首页> 外文期刊>International Journal of Game Theory >The pareto-stability concept is a natural solution concept for discrete matching markets with indifferences
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The pareto-stability concept is a natural solution concept for discrete matching markets with indifferences

机译：对于具有无差别的离散匹配市场，pareto-stability概念是自然的解决方案概念

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摘要

In a decentralized setting the game-theoretical predictions are that only strong blockings are allowed to rupture the structure of a matching. This paper argues that, under indifferences, also weak blockings should be considered when these blockings come from the grand coalition. This solution concept requires stability plus Pareto optimality. A characterization of the set of Pareto-stable matchings for the roommate and the marriage models is provided in terms of individually rational matchings whose blocking pairs, if any, are formed with unmatched agents. These matchings always exist and give an economic intuition on how blocking can be done by non-trading agents, so that the transactions need not be undone as agents reach the set of stable matchings. Some properties of the Pareto-stable matchings shared by the Marriage and Roommate models are obtained.
机译：在去中心化的情况下，博弈论的预测是，只有强力的阻碍才能破坏比赛的结构。本文认为，在冷漠的情况下，当这些障碍来自大联盟时，也应考虑使用弱障碍。此解决方案概念需要稳定性以及帕累托最优性。根据房客和婚姻模型的帕累托稳定匹配集的特征，通过有理对（如果有的话）由不匹配的代理形成的个体有理匹配进行描述。这些匹配始终存在，并且为非交易代理如何进行阻止提供了经济上的直觉，因此当代理到达稳定匹配集时，无需撤销交易。获得了由“婚姻”和“室友”模型共享的帕累托稳定匹配的某些属性。

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