The benefit of collective reputation

We study a model of reputation with two long‐lived firms who operate under a collective brand or as two individual brands. Firms' investments in quality are unobserved and can only be sustained through reputational concerns. In a collective brand, consumers cannot distinguish between the two firms. In the long run, this generates incentives to free‐ride on the other firm's investment, but in the short run, it mitigates the temptation to milk a good reputation. The signal structure and consumers' prior beliefs determine which effect dominates. We interpret our findings in light of the type of industry in which the firms operate.     

The 'magic formula' for linearly edge-reinforced random walks

Linearly edge-reinforced random walk on a finite graph is a mixture of reversible Markov chains with an explicitly known mixing measure. We give a new proof of this fact.