If one were to observe the ever-evolving digital landscape, one might note that the future of help desk outsourcing companies is poised to be a compelling narrative shaped by emerging trends and technology. As we delve into this topic, it's pivotal to understand that help desk outsourcing refers to the practice of hiring an external company to manage customer inquiries and resolve technical issues. It might be tempting to view this as a purely cost-saving measure. However, it's also an effective strategy to tap into specialized expertise and advanced technology that may not be internally available.

In the grand scheme of IT service management, help desks are akin to the frontline infantry, often the first point of contact for customers. As such, the quality and efficiency of these services can make or break the customer experience. It is here that outsourcing companies, armed with an army of skilled professionals and the latest technology, come to the fore.

The first prediction for the future pivots on the axis of Artificial Intelligence (AI). As illustrated by Bayes' theorem, which articulates the interplay of conditional probabilities, AI has the potential to revolutionize help desk operations. Machine Learning (ML), a subset of AI, can be leveraged to parse through vast quantities of data, identify patterns, and predict customer behavior or potential technical glitches before they manifest. Essentially, ML could take the 'help' in help desk to another level through proactive problem-solving.

Akin to the dichotomy between Newtonian and Quantum Physics, AI and Human Intelligence will each have unique advantages in the help desk arena. While AI brings predictive capabilities and scalability, the human touch remains crucial for complex problem-solving and offering a personalized customer experience. Hence, the future is likely to be a hybrid model that seamlessly blends AI and human intervention.

Next on the horizon is the adoption of omnichannel support. Here, Game Theory, with its focus on strategic interaction, provides an apt framework. The idea is to engage with customers across various touchpoints - be it phone, email, social media, or chatbots - and provide a cohesive experience. This strategy can lead to a significant competitive advantage in the customer-centric digital age.

The third prediction is the increasing importance of cybersecurity. Given the intricacies of data protection laws across the globe and the ever-present threat of cyber-attacks, help desk outsourcing companies would need to up their game in this domain. Firms equipped with advanced cybersecurity measures and a thorough understanding of legal frameworks like the European Union's General Data Protection Regulation (GDPR) would lead the pack.

The final trend is the emphasis on analytics and data-driven insights. As Keynes' General Theory illuminated the significance of aggregate demand in economic analysis, the focus in help desk services will be on aggregate data analysis. By leveraging analytics, companies can gain insights into customer behavior, ticketing patterns, resolution time, and more, enabling them to make informed decisions and enhance service quality.

However, it's crucial to underscore the importance of exploring trade-offs while implementing these trends. For example, while AI can bolster efficiency, it also raises concerns about data privacy and job displacement. Similarly, omnichannel support, while enhancing customer experience, requires significant investment in technology and training.

In conclusion, as we navigate the labyrinthine world of help desk outsourcing, the future seems intriguing. As these trends and technologies converge, they could potentially reconfigure the help desk landscape, creating a more dynamic, efficient, and customer-centric ecosystem. Whether these predictions will materialize, and to what extent, remains to be seen. However, one thing is certain – change is afoot, and it promises to be an exciting journey.