JOINT FILING AGREEMENT
Published on February 14, 2019
Exhibit 99.4
JOINT FILING AGREEMENT
In accordance with Rule 13d-1(k)(1)(iii) under the Securities Exchange Act of 1934, as amended, the persons named below agree to the joint filing on behalf of each of them of a Statement on Schedule 13D (including additional amendments thereto) with respect to the shares of Common Stock, $0.01 par value per share, of Papa John’s International, Inc. This Joint Filing Agreement shall be filed as an Exhibit to such Statement.
Dated: February 14, 2019
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         STARBOARD VALUE AND OPPORTUNITY MASTER FUND LTD By: Starboard Value LP, its investment manager 
 Starboard Value and Opportunity S LLC By: Starboard Value LP, its manager 
 Starboard Value and Opportunity C LP By: Starboard Value R LP, its general partner 
 STARBOARD VALUE R LP By: Starboard Value R GP LLC, its general partner 
 Starboard Value and Opportunity Master Fund L LP By: Starboard Value L LP, its general partner 
 
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         Starboard Value L LP By: Starboard Value R GP LLC, its general partner 
 STARBOARD VALUE LP By: Starboard Value GP LLC, its general partner 
 STARBOARD VALUE GP LLC By: Starboard Principal Co LP, its member 
 STARBOARD PRINCIPAL CO LP By: Starboard Principal Co GP LLC, its general partner 
 STARBOARD PRINCIPAL CO GP LLC 
 Starboard Value R GP LLC  | 
| By: | 
         /s/ Jeffrey C. Smith  | 
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| Name: | Jeffrey C. Smith | |
| Title: | Authorized Signatory | |
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         /s/ Jeffrey C. Smith  | 
| Jeffrey C. Smith | 
| Individually and as attorney-in-fact for Peter A. Feld |