We consider global site percolation on a correlated bi-colored honeycomb lattice. The correlated medium is constructed from an independently randomly bi-colored triangular lattice due to a state dependent constraint. The constraint evokes short-range correlations and establishes a simple...

The so-called “Guessing Game” or α-Beauty Contest serves as a paradigmatic conceptual framework for competitive price formation on financial markets beyond traditional equilibrium finance. It highlights features that are reasonable to consider when dealing with price formation on real...

We consider site percolation in a class of correlated random media derived from randomly bi-colored triangular lattices. Media are constructed due to specific state-dependent local constraints. Constraints destroy stochastic independence of elementary events and have specific impact on site...