定向随机市场：连通性决定货币
Directed Random Markets: Connectivity determines Money
摘要：
玻尔兹曼-吉布斯分布（Boltzmann-Gibbs distribution）是一个封闭的经济系统中，允许随机和无向交换的货币的统计均衡概率分布。当考虑在交易所中具有均匀储蓄的模型时，最终分布接近伽马族。在这项工作中，我们实现这些交换规则的网络，我们发现，这些固定的概率分布是强大的，他们不受底层网络的拓扑结构。我们引入一个新的家庭的相互作用：随机但定向的。在这种情况下，它被发现的拓扑结构是决定性的，每个经济代理人的平均货币是有关的网络中代表代理的节点的程度。每个经济主体的平均货币与其程度之间的关系是线性的。
英文摘要：
Boltzmann-Gibbs distribution arises as the statistical equilibrium probability distribution of money among the agents of a closed economic system where random and undirected exchanges are allowed. When considering a model with uniform savings in the exchanges, the final distribution is close to the gamma family. In this work, we implement these exchange rules on networks and we find that these stationary probability distributions are robust and they are not affected by the topology of the underlying network. We introduce a new family of interactions: random but directed ones. In this case, it is found the topology to be determinant and the mean money per economic agent is related to the degree of the node representing the agent in the network. The relation between the mean money per economic agent and its degree is shown to be linear.
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