Whisk together all ingredients, omitting the shrimp, until well blended.
Chill and serve with cold, boiled shrimp.
For an artistic display, pour cocktail sauce into a chilled bowl and place it in the center of a round, chilled serving tray. Hook the larger end of the shrimp around the bowl in a symmetrical fashion, and then lay the remainding shrimp in the same direction about the bowl, forming a uniform pattern. Chipped ice may be placed throughout to keep the platter and the shrimp cold.