Embarking on the journey of recovery from heroin addiction is a courageous and commendable decision, yet it is also one that often comes with a sizable financial burden. Thus, the quintessential task at hand is to devise a prudent budget to manage the costs of rehabilitation. We shall delve into the intricacies of this process in the ensuing writing, employing insights from behavioral economics, game theory, and finance theory.

To initiate, a clear comprehension of the different types of treatment modalities is pivotal. The two principal forms are inpatient and outpatient rehabilitation programs. The former mandates residing in a dedicated facility, receiving round the clock intensive care, while the latter allows the patient to live at home and attend treatment sessions during the day. From an economical perspective, inpatient programs are more costly due to the residential and comprehensive provisions. However, they often yield higher success rates, as suggested by numerous research articles, given the immersive and consistent support environment they provide, potentially reducing long-term recidivism and subsequent associated costs.

Another determinant of rehab costs is the duration of the program. The prevalent timeframes span from 30 to 90 days, however, some extended programs can be longer. The lengthier the program, the higher the total cost, albeit the per-day cost generally decreases with duration, indicative of economies of scale in the provision of care.

Apart from the direct treatment costs, ancillary expenses also need to be factored in while budgeting, such as medications, therapy sessions, transportation, and potential lost income during the rehabilitation period.

Having identified the potential expenses, the next part of the game is to seek out avenues for funding these costs. Health insurance is the primary player in this realm. The Mental Health Parity and Addiction Equity Act (MHPAEA) of 2008 mandates insurance companies to provide benefits for mental health and substance use disorders that are no more restrictive than the benefits for medical or surgical treatment. Therefore, it's critical to meticulously scrutinize your insurance plan’s inclusions, exclusions, and copays related to substance abuse treatment.

Moreover, some rehab facilities offer sliding scale fees based on income or payment plans that make the treatment costs more manageable. Non-profit organizations and government programs also provide grants and scholarships to those who cannot afford the treatment. Crowdfunding and personal loans are other viable alternatives, albeit these options come with their own risks and ought to be used judiciously.

A key tenet of behavioral economics is that people tend to overvalue immediate rewards at the expense of long-term benefits - a cognitive bias known as hyperbolic discounting. This is particularly true for individuals with addiction, where the immediate high from drug use often outweighs the long-term benefits of sobriety. Therefore, while creating a budget for heroin rehab might seem daunting, it is imperative to remember that the substantial costs are investments towards a healthier, drug-free life, and the long-term benefits, both tangible and intangible, outweigh the immediate costs.

In conclusion, the process of creating a budget for heroin rehab is a complex exercise involving nuances of both medical and financial fields. It is a negotiation between the best possible care and individual economic feasibility, a strategic game between current costs and future benefits. With careful planning, thorough research, and strategic utilization of available resources, it's possible to navigate this labyrinth and emerge with a well-structured budget that supports the path to recovery.