When it comes to undertaking a remodeling project, the right contractor is as indispensable as the right set of tools. The process of selection, however, can be convoluted and overwhelming. A prudent strategy to alleviate this conundrum involves asking targeted and insightful questions to potential contractors. These questions will not only reveal the contractor's qualifications, but also provide insights into their work philosophy, integrity, and commitment to your project.

One of the primary aspects to scrutinize is the contractor's experience. This is not merely a measure of the number of years they have been in business, but also the complexity and diversity of projects they've handled. It's imperative to ascertain if they have a documented history of successfully completing projects similar to yours. Their responses can be verified via references or through their project portfolio. A contractor who has excelled in a multitude of projects across different domains is likely to exhibit a high level of adaptability and problem-solving skills, which are essential traits in this unpredictable field.

On a similar note, the contractor's specialization might also play a crucial role in your decision. Some contractors might be generalists, capable of handling a wide range of projects, while others might focus on specific types of remodeling such as kitchens, bathrooms, or historic renovations. Depending on the nature and requirements of your project, you might benefit from a specialist or a generalist - it's a classic tradeoff.

Next, you must probe into the contractor's licensing and insurance status. Remodeling, like any construction-related activity, carries inherent risks. An uninsured or unlicensed contractor can leave you vulnerable to legal and financial liabilities in case of accidents or substandard work. Moreover, licensing reflects a degree of professionalism, indicating that the contractor is well-versed in local building codes and regulations.

After ensuring the contractor's qualifications, shift your focus to their project management abilities. Remodeling is a complex, multi-step process that demands meticulous planning, coordination, and execution. Inquire about their process for creating a project timeline, their approach to managing subcontractors, and their protocol for communicating updates and changes. This will offer you a glimpse into their organizational skills, responsiveness, and reliability.

Perhaps one of the most telling queries pertains to dealing with unexpected issues and changes. Remodeling projects, akin to the Butterfly Effect in Chaos Theory, often exhibit high sensitivity to initial conditions. A small, unexpected issue can cascade into major changes in the project. Thus, it's essential to understand how a potential contractor plans for contingencies, accommodates changes, and communicates them to you. Their adaptability and their 'client-first' approach can be crucial predictors of your project's success.

Last but not least, discuss the financial aspects openly and comprehensively. This includes their pricing model, payment schedule, and terms and conditions for changes or additions. To avoid falling into a Nash Equilibrium, where neither party is satisfied, ensure that the terms are mutually beneficial. Be wary of prices that seem too good to be true - they often are.

In conclusion, choosing the perfect remodeling contractor is similar to solving a complex equation with multiple variables. While there is no one-size-fits-all solution, asking the right questions will help you discern the most suitable contractor for your unique project. This investigative approach, underpinned by fundamental principles of economics, risk management, and project management, ensures that your project is in the hands of a competent, reliable, and dedicated professional.