We present a model for the [alpha]-beauty contest that explains common patterns in experimental data of one-shot and iterative games. The approach is based on two basic assumptions. First, players iteratively update their recent guesses. Second, players estimate intervals rather than exact...

The 1-shot ?-beauty contest is a non-equilibrium strategic game under bounded rationality conditions, while equilibrium is approached if the game is played iteratively sufficiently many times. Experimental data of the 1-shot setting of the 0-equilibrium game show a common pattern: The spectrum...

Risk management and asset pricing benefit from simple functional descriptions of the distribution of real asset returns. Recently, several authors have proposed that asset returns in real stock markets are distributed according to a hyperbolic distribution. While asset returns are generated by...

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...

Stylized facts of empirical assets log-returns $Z$ include the existence of (semi) heavy tailed distributions $f_Z(z)$ and a non-linear spectrum of Hurst exponents $\tau(\beta)$. Empirical data considered are daily prices of 10 large indices from 01/01/1990 to 12/31/2004. We propose a stylized...

Distributions of assets returns exhibit a slight skewness. In this note we show that our model of endogenous price formation \cite{Reimann2006} creates an asymmetric return distribution if the price dynamics are a process in which consecutive trading periods are dependent from each other in the...

Distributions of assets returns exhibit a slight skewness. In this note we show that our model of endogenous price formation [Reimann 2006] creates an asymmetric return distribution if the price dynamics are a process in which consecutive trading periods are dependent from each other in the...