Forcing code-first to always initialize a non-existent database?

Initializer is executed when you need to access the database so if you want to create database on app start use anything of the following:

    context.Database.Initialize(true); //If set to true the initializer is run even if it has already been run.       
    context.Database.Create()

http://msdn.microsoft.com/en-us/library/system.data.entity.database.initialize(v=vs.103).aspx

CreateDatabaseIfNotExists
An implementation of IDatabaseInitializer that will recreate and optionally re-seed the database with data only if the database does not exist. To seed the database, create a derived class and override the Seed method.

Database.SetInitializer<MyContext>(new CreateDatabaseIfNotExists<MyContext>());

http://msdn.microsoft.com/en-us/library/gg679221(v=vs.103).aspx

DropCreateDatabaseIfModelChanges
An implementation of IDatabaseInitializerthat will delete, recreate, and optionally re-seed the database with data only if the model has changed since the database was created. This is achieved by writing a hash of the store model to the database when it is created and then comparing that hash with one generated from the current model. To seed the database, create a derived class and override the Seed method.

The initialization strategy can optionally check for database
existence, create a new database, and seed the database with data. The
default strategy is an instance of
CreateDatabaseIfNotExists.

Database.SetInitializer(new DropCreateDatabaseIfModelChanges());

Note that this assumes you have permission to even drop your database.

http://msdn.microsoft.com/en-us/library/gg679604(v=vs.103).aspx

DropCreateDatabaseAlways

An implementation of IDatabaseInitializer that will always recreate and optionally re-seed the database with data the first time that a context is used in the application domain. To seed the database, create a derived class and override the Seed method.

Database.SetInitializer<MyContext>(new DropCreateDatabaseAlways<MyContext>());

http://msdn.microsoft.com/en-us/library/gg679506(v=vs.103).aspx

I recommend that you look at Migrations if you want to track, revert the changes you made to your DB to the previous state http://msdn.microsoft.com/hr-hr/data/jj591621 .

UPDATE

context.Database.Initialize(true);

If the parameter force is set to true, then the initializer is run
regardless of whether or not it has been run before. This can be
useful if a database is deleted while an app is running and needs to
be reinitialized.

For MVC application add a section to the Application_Start() method in the Global.asax

protected void Application_Start() {

     Database.SetInitializer<MyContext>(new DropCreateDatabaseAlways<MyContext>()); 

     // Forces initialization of database on model changes.
     using (var context= new MyContext()) {
          context.Database.Initialize(force: true);
     }    
}

Also you can use a custom initializer :

public class MyDbInit : DropCreateDatabaseAlways<MyContext>
{

}

and then use

Database.SetInitializer(new MyDbInit());

UPDATE 2

Make a new empty MVC4 application called DeleteDBOnEveryRequest.
Put the following in the Global.asax Application_start

protected void Application_Start()
        {
            AreaRegistration.RegisterAllAreas();

            WebApiConfig.Register(GlobalConfiguration.Configuration);
            FilterConfig.RegisterGlobalFilters(GlobalFilters.Filters);
            RouteConfig.RegisterRoutes(RouteTable.Routes);

            Database.SetInitializer<BlogContext>(new DropCreateDatabaseAlways<BlogContext>());    

            using (var context = new BlogContext())
            {
                context.Database.Initialize(force: true);
            }    
        }

Make a new controller called DatabaseController with two actions.

In the Access action you delete the DB and redirect to Recreated action from where you create a DB as it was previousy deleted.

namespace DeleteDBOnEveryRequest.Controllers
{
    public class DatabaseController : Controller
    {
        public ActionResult Access()
        {
            using (var context = new BlogContext())
            {
                context.Database.Delete();
            } 
            return RedirectToAction("Recreated");
        }

        public ActionResult Recreated()
        {
            using (var context = new BlogContext())
            {
                context.Database.Initialize(force: true);                
            }
            return View();
        }
    }
}

Is this what you wanted?