How do I create dynamic properties in C#?

You might use a dictionary, say

Dictionary<string,object> properties;

I think in most cases where something similar is done, it’s done like this.
In any case, you would not gain anything from creating a “real” property with set and get accessors, since it would be created only at run-time and you would not be using it in your code…

Here is an example, showing a possible implementation of filtering and sorting (no error checking):

using System;
using System.Collections.Generic;
using System.Linq;

namespace ConsoleApplication1 {

    class ObjectWithProperties {
        Dictionary<string, object> properties = new Dictionary<string,object>();

        public object this[string name] {
            get { 
                if (properties.ContainsKey(name)){
                    return properties[name];
                }
                return null;
            }
            set {
                properties[name] = value;
            }
        }

    }

    class Comparer<T> : IComparer<ObjectWithProperties> where T : IComparable {

        string m_attributeName;

        public Comparer(string attributeName){
            m_attributeName = attributeName;
        }

        public int Compare(ObjectWithProperties x, ObjectWithProperties y) {
            return ((T)x[m_attributeName]).CompareTo((T)y[m_attributeName]);
        }

    }

    class Program {

        static void Main(string[] args) {

            // create some objects and fill a list
            var obj1 = new ObjectWithProperties();
            obj1["test"] = 100;
            var obj2 = new ObjectWithProperties();
            obj2["test"] = 200;
            var obj3 = new ObjectWithProperties();
            obj3["test"] = 150;
            var objects = new List<ObjectWithProperties>(new ObjectWithProperties[]{ obj1, obj2, obj3 });

            // filtering:
            Console.WriteLine("Filtering:");
            var filtered = from obj in objects
                         where (int)obj["test"] >= 150
                         select obj;
            foreach (var obj in filtered){
                Console.WriteLine(obj["test"]);
            }

            // sorting:
            Console.WriteLine("Sorting:");
            Comparer<int> c = new Comparer<int>("test");
            objects.Sort(c);
            foreach (var obj in objects) {
                Console.WriteLine(obj["test"]);
            }
        }

    }
}