TY - JOUR AU - Biasi, Carlos AU - Monis, ThaĆ­s Fernanda Mendes PY - 2013/04/22 Y2 - 2024/03/29 TI - Weak local Nash equilibrium JF - Topological Methods in Nonlinear Analysis JA - TMNA VL - 41 IS - 2 SE - DO - UR - https://apcz.umk.pl/TMNA/article/view/TMNA.2013.020 SP - 409 - 419 AB - In this paper, we consider a concept of local Nash equilibrium fornon-cooperative games - the so-called weak local Nash equilibrium.We prove its existence for a significantly more general class ofsets of strategies than compact convex sets. The theorems onexistence of the weak local equilibrium presented here areapplications of Brouwer and Lefschetz fixed point theorems. ER -