Non-Zero-Sum Games : Algorithms

[Dante Monson]

The Compositional Game Theory

Access to information creates Non-Zero-Sum Games.

• Legacy Games: Based on information asymmetry (I know something you don't, so I win).

• Omega Games: Based on Symmetry and Coordination. If I share information about a resource, the system becomes more stable, which increases the value of my own SRV.

Mathematically, this is modeled as a Compositional Game where the "Payoff" is the total Negentropy of the manifold:

$$\mathcal{P}_{total} = \sum_{i=1}^{n} \eta_i + \mathcal{R}(alignment)$$

Where $\mathcal{R}$ is the Resonance Factor of the collective.