Robust Implementation in Direct Mechanisms

DIRK BERGEMANN; STEPHEN MORRIS

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Robust Implementation in Direct Mechanisms

机译：直接机制中的稳健实施

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A social choice function is robustly implementable if there is a mechanism under which the process of iteratively eliminating strictly dominated messages lead to outcomes that agree with the social choice function for all beliefs at every type profile. In an interdependent-value environment with single-crossing preferences, we identify a contraction property on the preferences which together with strict ex post incentive compatibility is sufficient to guarantee robust implementation in the direct mechanism. Strict ex post incentive compatibility and the contraction property are also necessary for robust implementation in any mechanism, including indirect ones. The contraction property requires that the interdependence is not too high. In a linear signal model, the contraction property is equivalent to an interdependence matrix having all eigenvalues smaller than one.

机译：如果存在一种机制，在这种机制下迭代消除严格支配的消息会导致结果与每种类型档案中的所有信念的社会选择功能相符，那么社会选择功能就可以可靠地实现。在具有单交叉偏好的相互依赖值环境中，我们确定了偏好的收缩特性，它与严格的事后激励相容性足以保证在直接机制中的稳健实施。严格的事后激励相容性和收缩特性对于任何机制（包括间接机制）的稳健实施也必不可少。收缩特性要求相互依赖性不能太高。在线性信号模型中，收缩特性等效于所有特征值均小于1的相互依赖矩阵。

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《The Review of Economic Studies》 |2009年第269期|共30页
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DIRK BERGEMANN; STEPHEN MORRIS;
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1. Robust Implementation in Direct Mechanisms [J] . DIRK BERGEMANN, STEPHEN MORRIS The Review of Economic Studies . 2009,第4a269期

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5. Robust implementation in dynamic mechanisms. [D] . Mueller, Christoph. 2010

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7. Evaluating the Conditions for Robust Mechanism Design Abstract: We assess the strength of the different conditions identified in the literature of robust mechanism design. We focus on three conditions: ex post incentive compatibility, robust monotonicity, and robust measurability. Ex post incentive compatibility has been shown to be necessary for any concept of robust implementation, while robust monotonicity and robust measurability have been shown to be necessary for robust (full) exact and virtual implementation, respectively. This paper shows that while violations of ex post incentive compatibility and robust monotonicity do not easily go away, we identify a mild condition on environments in which robust measurability is satisfied by all social choice functions over an open and dense subset of first-order types. We conclude that there is a precise sense in which robust virtual implementation can be significantly more permissive than robust exact implementation. [O] . Takashi Kunimoto, Roberto Serrano 100

机译：评估鲁棒机构设计的条件摘要：我们评估了鲁棒机构设计文献中确定的不同条件的强度。我们关注三个条件：事后激励兼容性，强大的单调性和强大的可测量性。事后激励兼容性已被证明对于任何稳健实现的概念都是必要的，而稳健单调性和鲁棒可测量性已被证明分别对于健壮（完全）精确和虚拟实现是必要的。本文表明，虽然违反事后激励兼容性和强健单调性的行为不容易消失，但我们在环境中确定了一个温和的条件，在这些环境中，所有社会选择函数都满足一阶类型的开放和密集子集的鲁棒可测量性。我们得出结论，确切地说，健壮的虚拟实现可以比强大的精确实现更加宽松。

Robust Implementation in Direct Mechanisms

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