The validity of the axiomatization of the harsanyi solution for ntu-games by hart (1985) is shown to depend on the regularity conditions imposed on games. Following this observation, we propose two related axiomatic characterizations, one of the symmetric egalitarian solution (kalai and samet, 1985) and one of the consistent solution (maschler and owen, 1992). The three axiomatic results are studied, evaluated and compared in detail.
de Clippel, G., Peters, H. J. M., & Zank, H. (2004). Axiomatizing the Harsanyi Solution, the Symmetric Egalitarian Solution, and the Consistent Solution for NTU-Games. International Journal of Game Theory, 33, 145-158. https://doi.org/10.1007/s001820400193