Display only filtered Objects in index

Hi, I'm new here and started working with rails only a month ago.

I'm trying to develop a VideoGame Database that is supposed to contain many many entries.

Here's my problem. Currently any new gameentry is listed in my index-page like this

<% @games.each do |game| %>
  <tr>
    <td><%= game.title_german %></td>
    <td><%= game.title_original %></td>
    <td><%= game.release %></td>
    <td><%= game.dlc %></td>
    <td><%= link_to 'Show', game %></td>
    <!-- <td><%= link_to 'Edit', edit_game_path(game) %></td>  -->
    <td><%= link_to 'Destroy', game, confirm: 'Are you sure?', method: :delete %></td>
  </tr>
<% end %>

of course that doesn't make a lot of sense. No Shop or library (like imdb) would have an accessible page listing the intire datatable. So I want the index page only to display those games that were filtered by the searchfield, which looks like this.

  <%= form_tag games_path, :method => 'get' do %>
    <p>
      <%= text_field_tag :search, params[:search] %>
      <%= submit_tag "Search", :title_german => nil %>
    </p>
  <% end %>

My Model and my controller are defined as follows:

class Game < ActiveRecord::Base
  
  def self.search(search)
    if search
      find(:all, :conditions => ['title_german LIKE ?', "%#{search}%"])
    else
      find(:all)
    end
  end
end


class GamesController < ApplicationController

  def index
    @games = Game.search(params[:search])
  end
end

I was thinking about defining a helper method called "used_search?" in the application_controller to used this method in an if-statement which determines wether to display the index.html.erb or not...would that be the usual way to solve this problem or what do experienced developers do? I have no clue!

I would appreciate any kind of help! thanks