The selection of an ideal wedding planner for your big day can be considered as a tacit exercise in behavioral economics - a decision, which inherently involves assessing potential risks, evaluating the probability of success, and making a choice that maximizes the perceived value. During this intellectual process, it's essential to ask certain critical questions to ensure you're placing your special day into capable hands.

Firstly, we must consider what is sometimes referred to in economic theory as "signaling". This theory, proposed by economist Michael Spence, explains how one party can convey information about themselves to another party. In the context of choosing a wedding planner, their credentials and experience act as "signals". Therefore, the initial question to pose would be: "What qualifications, training, or experience do you possess in event or wedding planning?" This gives you a sense of the planner's legitimacy and their in-depth comprehension of the industry.

Closely related to signaling, is the concept of "asymmetric information", where one party has more or better information than the other. Hence, asking the planner: "How many weddings have you planned so far, and what were their budget and style?" can provide valuable insights about their experience, expertise, and the variety of their work. This can also help avoiding situations similar to adverse selection, where you might end up with a planner that doesn't meet your expectations.

The next question embraces the laws of thermodynamics, which emphasize the transformation and conservation of energy. In this context, it translates to the planner's ability to manage and allocate resources efficiently. So, one might ask: “How will you manage my budget to ensure all elements of my wedding are catered for?” A competent planner should be able to provide a comprehensive answer, addressing how they will harness the allocation of resources, and how priorities are set.

Following this, the concept of the Nash Equilibrium, a fundamental principle in game theory, states that the best outcome for an individual depends on what others are doing. To apply that principle, ask: “Can you provide referrals from other vendors or previous couples you've worked with?” If the planner can demonstrate a track record of successful relationships with vendors and clients, it suggests that they have a cooperative approach, ensuring an optimum outcome for all parties involved, and hence, for your wedding.

A critical aspect of any decision-making process is the consideration of opportunity costs, the cost of forgoing an alternative when a decision is made. Therefore, ask the planner: “What is your contingency plan in case of unforeseen circumstances?” The planner's ability to answer this question eloquently will demonstrate their preparedness to handle any bumps in the process without causing significant opportunity costs.

Lastly, the principal-agent dilemma is a classic economics and game theory challenge where the principal (you) hires an agent (the planner) to act on their behalf but isn't sure if the agent will act in the principal's best interest. To mitigate this, ask: "How will you ensure that my vision for my wedding is realized?" The planner's response will provide insights into how they plan to align their actions with your interests.

Choosing a wedding planner is more than just hiring a service; it’s an investment into an individual who will be the maestro of your big day. Therefore, a deeper understanding of these economic principles can serve as a robust framework to navigate this decision-making process. Remember, the end goal is to find a planner who not only aligns with your vision but also promises to deliver an unforgettable day, wrapped in seamless coordination and bound by an unwavering commitment to your satisfaction.