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Optimal Advertorial Allocation and Contract Design of a Multichannel Networks Company on Video Sharing
               Platforms




                                 �               �� � � � � � (� � ,� � )    as the revenue sharing ratio for
                condition yields       (     ,     )=
                                 �   �  �            �
                                                        � �
                                             (�� � � � �� � � )(����)
                                                     � �
                                        �                �� � � � � � (� � ,� � )
                the  type-H  creator  and       (     ,     )=               for  the  type-L  one.
                                        �   �  �            �  � �
                                                    (�� � � � �� � � )(��(���)�)
                                                            � �
                The first-order derivative of       (     ,     )  and       (     ,     )  with respective to         and
                                            �
                                                            �
                                            �   �  �        �   �  �                     �
                       then proves the proposition. Q.E.D.
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