The best replacement for delegation is assignment.

The best alternatives to delegation are rated as following:
★★★★★  assignment
★★★★★  empowerment
★★★★  inheritance
★★★  abdication
★★★  dumping
★★  supervision
★★  composition
★★  forwarding
★  stub zone
★  decentralization
★  impersonation
★  relegation
  composition java
  allocation
  subclassing
  assigning
  notification
  forwarder
  conditional forwarder
  delegation
  indirect delegation
  delegates

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Speaking about delegation, one probably shouldn't forget about inheritance.

Other search terms related to delegation and their ratings are:
★★★★★ inheritance
★★★★ protocol transition
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Google Trends

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delegation
assignment
empowerment