This study explores peer-to-peer (P2P) energy-water-food trading between two agricultural farms. Farm A, a prosumer, collaborates with Farm B, a consumer. Game theory guides Farm A to maximize agrivoltaics energy production for its needs, while Farm B seeks reliable electricity and benefits from green hydrogen-based ammonia production for fertilizer. The analytic hierarchy process identifies “economic viability” as crucial in evaluating the game theory trading strategies, followed by “security and privacy” and “operational efficiency”. “Technological integration, ease of implementation, scalability, and resilience” hold lower weight, while “environmental impact” is least influential. In strategy performance, “Incentive Mechanisms” lead, followed by “Dynamic Pricing Mechanisms” and “Smart Contracts and Blockchain.” “Energy Storage and Flexibility” perform moderately, while “Bilateral Trading Agreement” and “Strategic Bidding in Auctions” need improvement. The study guides P2P strategies for larger-scale energy-sharing in industries and buildings, considering weather conditions, market fluctuations, and synergies with emerging technologies like artificial intelligence.