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A Summary: Boolean Networks Applied to Systemic Risk

机译:摘要:布尔网络应用于系统性风险

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摘要

The application of Boolean Networks to systemic risk is introduced. Network architecture, connectivity, connection matrix and debt matrurity can be used in both deterministic and random networks. For mdeterminsitic networks the trajectory of the node-state vector can be obtained where it is known exactly when a specific bank defaults. For rando networks, Markow transition matrices can be derived to calculate the trajectory of the distriution function of the number of defaulted or down-graded firms. Calculations can be made for both netted and non-netted clearing system. The conenctivity which maximizes the speed of default propagation is not invariant to netting rules.
机译:介绍了布尔网络在系统风险中的应用。网络体系结构,连接性,连接矩阵和债务期限可用于确定性网络和随机网络。对于确定性网络,可以获得节点状态向量的轨迹,在该位置确切知道何时特定存储体违约。对于rando网络,可以推导出Markow转移矩阵,以计算违约或降级的公司数量的分布函数的轨迹。可以对净额结算系统和非净额结算系统进行计算。最大化默认传播速度的对数不变性并非对结网规则不变。

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