Equilibrium in discontinuous games without complete or transitive preferences
Tóm tắt
Reny (Econ Theory, 2015) is used here to prove the existence of equilibrium in discontinuous games in which the players’ preferences need be neither complete nor transitive. The proof adapts important ideas from Shafer and Sonnenschein (J Math Econ 2:345–348, 1975).
Tài liệu tham khảo
Reny, P.J.: Nash equilibrium in discontinuous games. Econ. Theory, pp. 1–17. Springer, Heidelberg (2015). doi:10.1007/s00199-015-0934-3
Shafer, W., Sonnenschein, H.: Equilibrium in abstract economies without ordered preferences. J. Math. Econ. 2, 345–348 (1975)