Asymmetric guessing games

This paper theoretically and experimentally investigates the behavior of asymmetric players in guessing games. The asymmetry is created by introducing $$r>1$$ replicas one players. Two-player restricted N-player cases are examined detail. Based on model parameters, equilibrium either unique which all choose zero or mixed weak player ( $$r=1$$ ) imitates strong ). A series experiments involving two three-player repeated games with conducted. We find that observed less frequently overall choices farther from two-player contrast to symmetric games, but this not case Convergence towards exists slows down speed convergence two, Furthermore, have a slight earning advantage over players, increases discrepancy (defined as squared distance winning number) both