Cummings, J., Foreman, M., and Magidor, M., Squares, scales and stationary reflection, Journal of Mathematical Logic, vol. 1 (2001), no. 1, pp. 35–98.
Foreman, M., Games played on boolean algebras, this Journal, vol. 48 (1983), pp. 714–723.
Foreman, M. and Magidor, M., A very weak square principle, this Journal, vol. 62 (1997), no. 1, pp. 175–196.
Ishiu, T., On Axiom A and games on boolean algebras, Master's thesis, Waseda University, 1997, in Japanese.
Ishiu, T. and Yoshinobu, Y., Directive trees and games on posets, Proceedigs of the American Mathematical Society, to appear.
Jech, T., A game theoretic property of Boolean algebras, Logic Colloquium '77 (Macintyre, A., Pacholski, L., and Paris, J., editors), North-Holland, Amsterdam, 1978, pp. 135–144.
Jensen, R., The fine structure of the constructible hierarchy, Annals of Mathematical Logic, vol. 4 (1972), pp. 229–308.
Mitchell, W., Aronszajn trees and independence of transfer property, Annals of Mathematical Logic, vol. 5 (1972), pp. 21–46.
Shelah, S., On successors of singular cardinals, Logic Colloquium '78 (Boffa, M., van Dalen, D., and McAloon, K., editors), North-Holland, Amsterdam, 1979, pp. 357–380.
Veličkovič, B., Jensens □ principles and the Novák number of partially ordered sets, this Journal, vol. 51 (1986), pp. 47–58.
Velleman, D., On a generalization of Jensen's □κ, and strategic closure of partial orders, this Journal, vol. 48 (1983), pp. 1046–1052.