Our ongoing research into mathematical frameworks for collective intelligence, AI governance, and complex systems coordination. Each paper represents a piece of our broader mission to understand and design better equilibria.
Developing unified mathematical frameworks and theoretical foundations for understanding collective intelligence systems.
TEAM MEMBERS:Jonas HallgrenCan a common mathematical language, based on graph transformations and variational information dynamics, unify the study of collective intelligence across diverse disciplines and reveal fundamental structural correspondences?
TEAM MEMBERS:Jonas HallgrenCan distinct Collective Intelligence (CI) functions (e.g., markets, hierarchies) be identified and characterized by the topological signatures of their underlying interaction subgraphs, thereby establishing graph topology as a unifying syntax for CI?
TEAM MEMBERS:Jonas HallgrenCan the emergence of common coordination structures like markets, networks, and democracies be explained as mathematically optimal solutions to specific information processing challenges, formalized through a spectral duality between signal processing and graph operator properties?
TEAM MEMBERS:Jonas HallgrenCan the variational drive of collective intelligence systems to minimize surprise be equivalently represented and analyzed as an optimization problem in the spectral domain of their interaction graph, offering new predictive metrics?
TEAM MEMBERS:Jonas HallgrenHow can category theory be used to build a unified mathematical foundation for understanding why specific coordination structures (markets, networks, democracies) emerge as optimal solutions to information processing challenges in collective systems?
Empirical studies and simulations exploring how collective intelligence mechanisms perform under various conditions.
TEAM MEMBERS:Jonas HallgrenHow do different democratic mechanisms (Predictive Direct, Representative, and Liquid Democracy) compare in maintaining collective utility under varying levels of adversarial pressure, and at what infiltration thresholds do they experience catastrophic failure?
Building the computational tools and platforms needed to study and implement collective intelligence systems.
TEAM MEMBERS:Equilibria Network, Jonas HallgrenHow can a process-centric, functional programming approach, separating mathematical process definition from computational execution, lead to more robust, verifiable, and scalable multi-agent simulations of collective intelligence?