MVC Model Binding for EditorFor - asp.net-mvc

Question

I have three class types Search, BaseSearch and TextSearch of the following relation. Search is composed of a List<BaseSearch> and TextSearch inherits from BaseSearch, BaseSearch is abstract.
Now I would like to use Html helper to draw a list of TextSearch, EditorTemplate is below
#model GenericSearch.Models.TextSearch
<table class="form-group container">
<tr class="row">
<td class=" col-sm-2 " style="display: table-cell; vertical-align: middle;height: 50px; ">
#Html.LabelFor(x => x.Label, Model.Label, new { #class = "control-label pull-right" })
</td>
<td class=" col-sm-2 " style="display: table-cell; vertical-align: middle;height: 50px; ">
#Html.DropDownListFor(m => m.Comparators, new SelectList(Model.Comparators, "Value", "Text"), new { #class = "form-control", style = "width:150px" })
</td>
<td class="col-sm-8 form-inline" style="display: table-cell; vertical-align: middle;height: 50px;">
#Html.TextBoxFor(x => x.Value, new { #class = "form-control" })
</td>
</tr>
</table>
I have a razor view for Index as below
#model GenericSearch.Models.Search
<div class="row">
#using (#Html.BeginForm("Index", "Home", FormMethod.Post))
{
{
#Html.EditorFor(m => m.List)
<div class="form-group">
<div class="col-sm-12 text-center">
<button type="submit" class="btn btn-primary">Apply filters</button>
</div>
</div>
}
}
</div>
And two Index action at the controller as below
public ActionResult Index()
{
Search search = new Models.Search();
search.List= new List<BaseSearch>();
TextSearch text = new TextSearch();
text.Label = "Text1";
search.MyProperty.Add(text);
return View(search);
}
[HttpPost]
public ActionResult Index(Search search)
{
return View(search);
}
This setting is rendered fine, however when I fill the rendered text boxes and post it through the submit button, I am expecting to receive the Search class populated with the List<TextSearch> that has properties filled with the values entered by the user at the HttpPost Index. But I get an error saying that this can't be done because BaseClass is abstract, when I remove the abstract keyword from the BaseClass the Search class gets instantiated but with a List<BaseSearch> instead of a List<TextSearch> also it has its properties empty, not filled with the data user entered. What am I missing here?
EDIT
public class Search
{
public List<BaseSearch> List { get; set; }
}
public abstract class BaseSearch
{
string label;
protected List<Comparator> comparators;
public string Label
{
get
{
return label;
}
set
{
label = value;
}
}
public List<Comparator> Comparators
{
get
{
return comparators;
}
set
{
comparators = value;
}
}
public BaseSearch()
{
comparators = new List<Models.Comparator>();
}
}
public class TextSearch : BaseSearch
{
string _value;
public string Value
{
get
{
return _value;
}
set
{
_value = value;
}
}
public TextSearch() : base()
{
comparators.Add(new Comparator() { Value = -1, Text = Resources.Choose });
comparators.Add(new Comparator() { Value = 1, Text = Resources.StartWith });
comparators.Add(new Comparator() { Value = 2, Text = Resources.Contains });
}
}