Group cohesion under individual regulatory constraints

We consider a group consisting of N business units. suppose there are regulatory constraints for each unit; more precisely, the net worth unit is required to belong set acceptable risks, assumed be convex cone. Because these requirements, less incentives operate under structure, as creating one single unit, or altering liability repartition among units, may allow reduce capital. analyse possibilities benefit from diversification effect and economise on cost define study risk measures that any achieve minimal capital, if it were without despite individual admissibility constraints. call cohesive measures. In commonotonic case, we show they tail expectations but calculated different probability.