Games of entangled agents

  title={Games of entangled agents},
  author={Michail Zak},
  journal={Cogent Mathematics},
  • M. Zak
  • Published 7 January 2016
  • Physics
  • Cogent Mathematics
Abstract The paper extends the mathematical formalism of quantum physics to include games of intelligent agents that communicate due to entanglement. The novelty of the approach is based upon a human factor-based behavioral model of an intelligent agent. The model is quantum inspired: it is represented by a modified Madelung equation in which the gradient of quantum potential is replaced by a specially chosen information force. It consists of motor dynamics simulating actual behavior of the… 
3 Citations

Search for dynamical origin of social networks

The challenge of this work is to re-define the concept of intelligent agent as a building block of social networks by presenting it as a physical particle with additional non-Newtonian properties, following the Madelung equation that belongs to this class.

Modelling ‘Life’ against ‘heat death’

  • M. Zak
  • Physics
    International Journal of Astrobiology
  • 2017
Abstract This work is inspired by the discovery of a new class of dynamical system described by ordinary differential equations coupled with their Liouville equation. These systems called



Quantum-inspired maximizer

A new kind of dynamical systems—a quantum-classical hybrid—that would preserve superposition and entanglement of random solutions while allowing one to measure their state variables by using classical methods is created.

On the origin of randomness in quantum mechanics

Quantum statistics originate from the physics of state preparation. It is therefore wrong to think of quantum states as fundamental. In fact, quantum states are merely summaries of dynamical

Incompatible stochastic processes and complex probabilities

  • M. Zak
  • Mathematics, Philosophy
  • 1998

Particle of Life: Mathematical Abstraction or Reality?

Preface Information -- Forgotten Variable in Physics Models Starting with Madelung Equation Dynamical Model of L1-Particle Dynamical Model of L2-Particle Dynamical Model of L3-Particle Modeling

The Fokker-Planck Equation

In 1984, H. Risken authored a book (H. Risken, The Fokker-Planck Equation: Methods of Solution, Applications, Springer-Verlag, Berlin, New York) discussing the Fokker-Planck equation for one

Terminal model of Newtonian dynamics

A new type of dissipation function which does not satisfy the Lipschitz condition at equilibrium states is proposed. Newtonian dynamics supplemented by this dissipation function becomes irreversible

Physics of Life from First Principles

The invention relates to a furniture fitting having a grooved loop-shaped guideway for guiding an equipment supporting plate in a generally vertical direction and locking it in at least two positions

Differential games. New York, NY: Wiley

  • Penrose, R
  • 1965

Differential Games