Constructing a swimming pool in your backyard is a massive investment, not just in monetary terms but also concerning the amount of time and energy it requires. Therefore, selecting a proficient pool builder becomes a crucial aspect of this journey. A proficient pool builder is an elusive combination of an architect, contractor, and designer who can bring your vision of a dream backyard oasis to life. However, the quandary lies in identifying the competent personnel amongst the plethora of pool builders in the market.

The first aspect that one needs to consider is the builder's experience and reputation in the industry. Michel Foucault's concept of 'disciplinary power' can be applied here. Similar to how institutions like schools, hospitals, and prisons are evaluated based on their reputation and track record, pool builders too must be assessed on their past performance. Specifically, their ability to adhere to deadlines, stay within budget, and deliver a high quality, durable product.

A simple web search can shed light on the previous projects undertaken by various pool construction firms and provide insights into their execution capabilities. Checking online reviews and conducting a cursory search on the Better Business Bureau's website can also yield valuable information about their reputation in the industry.

Next, it's important to evaluate their design capabilities. The field of pool construction has evolved greatly over the years, with growing emphasis on aesthetic appeal. Modern pool designs often include elements such as infinity edges, integrated hot tubs, and elaborate tile work, which require a high level of precision and craftsmanship. The principle of comparative advantage, as demonstrated by David Ricardo, is applicable here. Pool builders who demonstrate a comparative advantage in this area should be preferred over those who may be competent, but do not specialize in complex design elements.

Another critical factor in the selection process is the builder's financial stability. An unstable financial situation can lead to construction delays or even stoppages, which can inflict financial and emotional stress on the homeowner. To assess this, one might have to delve into financial records, licensure, and insurance coverage.

A builder's warranty is also a significant determinant. Think of it through the lens of the 'principal-agent problem' in economics. The principal (homeowner) hires an agent (pool builder) to perform a task, but the principal is unable to fully monitor the agent's actions. A robust warranty acts as a contract that aligns the interests of both parties and ensures that the agent will perform the task to the best of their abilities.

Lastly, personal compatibility should not be overlooked. Building a pool is not a one-off transaction; it is a long-term engagement requiring regular communication and mutual trust. Therefore, choosing a builder who understands your vision and communicates clearly can have a significant impact on the overall experience.

In conclusion, hiring a pool builder is an exercise that requires careful evaluation of various aspects, including reputation, design expertise, financial stability, and personal compatibility. It's an intricate process akin to solving a Rubik's cube, where aligning all the facets correctly will lead you to the final, satisfying solution - your dream backyard oasis. However, the effort is worthwhile, as the reward is a beautifully designed, well-constructed pool that enhances your property's value and offers endless hours of enjoyment.