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Equivalent Bilevel Programming Form for the Generalized Nash Equilibrium Problem
Generalized Nash equilibrium point Bilevel Programming efficient solution optimal solution
2011/11/17
Generalized Nash Equilibrium problem is widely used but hard to solve. In this paper, we transform the generalized Nash game into a special bilevel programming with one leader and multi-followers by s...
Fixed-Point Approaches to Computing Bertrand-Nash Equilibrium Prices Under Mixed Logit Demand: A Technical Framework for Analysis and Efficient Computational Methods
Mixed Logit Demand Technical Framework Analysis Efficient Computational Methods
2011/2/28
Bertrand competiton has been a prominent paradigm for the empirical study of differentiated
product markets for at least twenty years. Firms engaged in Bertrand competition maximize profits by choosi...
On the Structure of Nash Equilibrium Sets in Partially Convex Games
Nash Equilibrium Partially Convex Games
2009/2/5
The paper describes the geometrical structure of Nash equilibrium sets in partially convex games without constraints. A condition characterizing a distinct class of Nash equilibrium sets is given. A c...
Two-party political competition: A geometric study of the Nash equilibrium in a weighted case
Computational Geometry Operational Research
2010/9/16
This paper investigates an abstract game of political competition between two parties. All political positions are represented by points in a plane, and the parties choose positions that are as close ...
2004Vol.41No.4pp.553-556DOI:
Generalized Quantum Games with Nash
Equilibrium
LIU Xu-Feng
Department of Mathematics, Peking University, Beijing 100871, China
Institute of...
We prove that the problem of finding a Nash equilibrium in a two-player game is PPAD-complete.