Definitions of pursuit:

• noun:   the act of pursuing in an effort to overtake or capture

  Example: "The culprit started to run and the cop took off in pursuit"

• noun:   a search for an alternative that meets cognitive criteria

  Example: "The pursuit of love"

• noun:   a diversion that occupies one's time and thoughts (usually pleasantly)

  Example: "They criticized the boy for his limited pursuits"