Strategy Pattern using Unity

I'm trying to use the Strategy pattern using dependecy injection with Unity, and i have the following scenario:

public Interface IName
{
  string WhatIsYourName()
}

public class John : IName
{
   public string WhatIsYourName()
   {
     return "John";
   } 
}

public class Larry : IName
{
   public string WhatIsYourName()
   {
     return "Larry";
   } 
}

public Interface IPerson
{
   IntroduceYourself();
}

public class Men : IPerson
{
   private IName _name; 

   public Men(IName name)
   {
     _name = name;
   }

   public string IntroduceYourself()
   {
     return "My name is " + _name.WhatIsYourName();
   }
}

How can i set unity container to inject the correct name to the correct person?

Example:

IPerson_John = "code to container resolve";

IPerson_John.IntroduceYouself(); // My name is john

IPerson_Larry = "code to container resolve";

IPerson_Larry.IntroduceYouself(); // My name is Larry

Similar problem: Strategy Pattern and Dependency Injection using Unity . Unfortunately, I cannot use this solution once i have to inject dependecy in the "constructor"