Academic Journal
Nash Equilibrium in Games with Quasi-Monotonic Best-Responses ∗
| العنوان: | Nash Equilibrium in Games with Quasi-Monotonic Best-Responses ∗ |
|---|---|
| المؤلفون: | Rabah Amir, Luciano De Castro |
| المساهمون: | The Pennsylvania State University CiteSeerX Archives |
| المصدر: | http://www.kellogg.northwestern.edu/faculty/decastro/htm/personal/quasimonotonic.pdf. |
| سنة النشر: | 2013 |
| المجموعة: | CiteSeerX |
| مصطلحات موضوعية: | Key words and phrases, Existence of Nash equilibrium, quasi-monotone functions, non-monotone comparative statics, supermodularity |
| الوصف: | This paper develops a new existence result for pure-strategy Nash equilibrium. In succinct form, for a two-player game with scalar action sets, existence entails that one reaction curve be increasing and continuous and the other quasi-increasing (i.e, not have any downward jumps). The latter property amounts to strategic pseudo-complementarities. We also prove some extensions to n-player games, at the cost of some further plausible assumptions. Along the way, the paper provides a number of ancillary results of independent interest, including sufficient conditions for a quasi-increasing argmax, comparative statics of equilibria, and new sufficient conditions for uniqueness of fixed points. For maximal accessibility of the results, in addition to a general lattice-theoretic treatment, the main results are presented in a Euclidean setting. We argue that all these results have broad and elementary applicability by providing simple illustrations with four commonly used models from applied microeconomic fields. |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| Relation: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.434.5060; http://www.kellogg.northwestern.edu/faculty/decastro/htm/personal/quasimonotonic.pdf |
| الاتاحة: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.434.5060 http://www.kellogg.northwestern.edu/faculty/decastro/htm/personal/quasimonotonic.pdf |
| Rights: | Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| رقم الانضمام: | edsbas.E0F3E923 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |