As a burgeoning app developer or an established business looking for a new avenue of revenue, the choice of an app monetization platform can be a seminal decision. In our connected, digital world, the realm of app monetization has expanded tremendously, offering a host of platforms and strategies. Each option embodies a unique set of benefits and drawbacks that can significantly impact the profitability of your app.

App monetization, in its essence, represents a strategy used by app developers to generate revenue from their apps. This may be achieved through a variety of means such as in-app purchases, subscription models, freemium models, or through advertising. The choice of an app monetization platform is pivotal as it bridges the gap between your app and potential revenue streams.

In the intricate and dynamic market of app monetization, one might feel overwhelmed when faced with the decision of choosing the right platform. This decision, however, can be made simplified and strategic by asking the right questions to app monetization platform providers.

Firstly, you might want to explore the platform's customer base. Understanding who uses the platform can provide valuable insights into its reliability and reputation, and hint at whether it might be the right fit for your app. A robust customer base usually signifies a reliable and trusted platform. However, it's important to look beyond sheer numbers and consider the variety of apps and industries the platform serves. A platform that serves a diverse range of apps and industry verticals could indicate a flexible and adaptable solution.

Secondly, it's essential to delve into the platform's payment model. Consider asking, "What is the revenue sharing model?" and "Are there any hidden fees or costs involved?" While it might seem straightforward, understanding the nuances of the pricing models can save significant revenue in the long run. For instance, some platforms might charge an upfront fee, while others might operate on a revenue-sharing model where a certain percentage of the revenue generated through the app goes to the platform. These aspects need to be meticulously evaluated.

Next, scrutinize the platform's technology and features. These may include aspects like user analytics, A/B testing, targeted advertising, etc. It's also crucial to understand the platform's integration capabilities. Can it easily integrate with your existing systems or platforms you might use in the future? The answer to this question could save considerable time and resources in development phases.

Additionally, enquire about the platform's data handling and privacy practices. As data privacy laws become increasingly stringent around the world, your chosen platform's compliance with these regulations becomes of paramount importance.

Lastl, ask about the platform's support and service. Does the platform provide continuous support? What about updates and improvements? A platform that provides excellent support and regular updates could prove to be a more sustainable choice in the long run.

The application of game theory, a branch of mathematical economics, can help in understanding this scenario. App developers and monetization platforms can be seen as players in a game, where each seeks to maximize their payoff. The developer aims to maximize their revenue, and the platform aims to maximize their customer base or loyalty. The Nash equilibrium, a solution concept in game theory, suggests that the best outcome occurs when both players make their best response to each other. In this scenario, it means that an app monetization platform is considered the 'right' one when it meets the developer's needs most effectively, providing a sought-after balance between cost and benefit.

Choosing the right app monetization platform is a multidimensional decision process influenced by numerous factors. By asking the right questions, you can make an informed and strategic choice that ensures you reap the maximum benefits from your app. Remember, the objective isn't just to find an app monetization platform, but to find a platform that aligns with your app, your business, and your vision.