Error inflating class android.support.design.widget.CoordinatorLayoute

You have a spelling error in your layout file. Change CoordinatorLayoute to CoordinatorLayout.

Replace

    <?xml version="1.0" encoding="utf-8"?>
    <android.support.design.widget.AppBarLayout
    android:layout_width="match_parent"
    android:layout_height="wrap_content"
    android:theme="@style/Theme.AppCompat.Light.DarkActionBar">

    <android.support.v7.widget.Toolbar
        android:id="@+id/toolbar"
        android:layout_width="match_parent"
        android:layout_height="?attr/actionBarSize"
        android:background="?attr/colorPrimary"
        app:popupTheme="@style/ThemeOverlay.AppCompat.Dark" />

   </android.support.design.widget.AppBarLayout>

   <include layout="@layout/content_game" />

With

<android.support.design.widget.CoordinatorLayout 
xmlns:android="http://schemas.android.com/apk/res/android"
    xmlns:app="http://schemas.android.com/apk/res-auto"
    android:id="@+id/main_content"
    android:layout_width="match_parent"
    android:layout_height="match_parent">

<android.support.design.widget.AppBarLayout
    android:layout_width="match_parent"
    android:layout_height="wrap_content"
    android:theme="@style/Theme.AppCompat.Light.DarkActionBar">

    <android.support.v7.widget.Toolbar
        android:id="@+id/toolbar"
        android:layout_width="match_parent"
        android:layout_height="?attr/actionBarSize"
        android:background="?attr/colorPrimary"
        app:popupTheme="@style/ThemeOverlay.AppCompat.Dark" />

</android.support.design.widget.AppBarLayout>

<include layout="@layout/content_game" />
</android.support.design.widget.CoordinatorLayout>

Also add compile 'com.android.support:design:22.2.1' in build.gradle