The incidence game chromatic number of paths and subgraphs of wheels

The incidence game chromatic number was introduced to unify the ideas of the incidence coloring number and the game chromatic number. We determine the exact incidence game chromatic number of large paths and give a correct proof of a result stated by Andres [S.D. Andres, The incidence game chromatic number, Discrete Appl. Math. 157 (2009) 1980–1987] concerning the exact incidence game chromatic number of large wheels.