For the passionate dancer, dance studio space represents a canvas — a stage for unbridled creativity and expression. But the process of securing the ideal dance studio is a complex task, encapsulating multiple parameters to be considered. This process exhibits parallels to economic theories, particularly the concept of 'perfect information'. In this context, 'perfect information' is a theory in economics which assumes that all consumers and producers have perfect knowledge of price, utility, quality and production methods of products. Translating this to our current topic, 'perfect information' would mean knowing every detail about all available dance studios before making a selection.

To hire an ideal dance studio, first, you need to ascertain your needs. Dancers vary in disciplines — ballet, tap, hip hop, contemporary and more, each with unique needs. For example, ballet dancers will require a studio with a sprung floor to absorb shocks, safeguarding against injury, while hip-hop dancers may need a studio with full-length mirrors for perfecting routines.

In mathematical terms, this process somewhat encapsulates set theory. A set is a collection of distinct objects, which in this context, are the needs of the dancer. When these needs intersect with what a dance studio offers, we find the 'perfect' dance studio.

Location is another critical consideration, looking at it through the lens of spatial economics, a field that focuses on the spatial distribution of resources. An ideal studio should be in a location that is easily accessible, has good parking facilities, and is near to amenities such as restaurants, cafes, and shops. Finding such a studio is akin to solving an optimization problem in mathematics: where to locate within the constraints of space, time, and resource allocation to achieve the best outcome.

Timing is another aspect to consider. When do you need the studio? For how long? It's important to clarify these details with the studio provider before hiring. This relates to the concept of temporal allocation in economics. Temporal allocation is the process of distributing a limited quantity of resources - in this case, the studio time- over different periods, to ensure maximum utility.

Cost is invariably a significant factor. Economic theories such as marginal utility can be applied here. Marginal utility is the additional satisfaction a consumer gains from consuming one more unit of a good or service. In this case, it could be represented by the additional benefits obtained by hiring a more expensive dance studio over a lesser-equipped, cheaper one.

Beyond these, the studio’s ambiance, the acoustics, and the availability of other facilities like changing rooms, restrooms, and lockers, are factors that may influence one's decision.

In conclusion, the process of hiring the perfect dance studio is a multifaceted one that involves a deep understanding of one's requirements, matched with methodical research. It requires a careful application of economic theories like 'perfect information' and spatial economics, mathematical concepts like set theory and optimization problems, and a deep understanding of one's own dancing needs and preferences.

By applying these concepts and theories, you can ensure that you make an informed, rational decision that will provide the ideal space for your dance practice, thus supporting your journey in the beautiful world of dance.