Collective firm bankruptcies and phase transition in rating dynamics
We present a simple model of firm rating evolution. We consider two sources of defaults: individual dynamics of economic development and Potts-like interactions between firms. We show that such a defined model leads to phase transition, which results in collective defaults. The existence of the collective phase depends on the mean interaction strength. For small interaction strength parameters, there are many independent bankruptcies of individual companies. For large parameters, there are giant collective defaults of firm clusters. In the case when the individual firm dynamics favors dumping of rating changes, there is an optimal strength of the firm's interactions from the systemic risk point of view.
|Date of creation:||Apr 2009|
|Date of revision:||Sep 2009|
|Publication status:||Published in The European Physical Journal B 71 461-466 (2009)|
|Contact details of provider:|| Web page: http://arxiv.org/|
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