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An novel ADM for finding Cournot equilibria of bargaining problem with alternating offers

Zheng Peng (pv068***at***163.com)

Abstract: Bargaining is a basic game in economic practice. Cournot duopoly game is an important model in bargaining theory. Recently, asymmetry information [20] and incomplete information [19], limited individual rationality [2] and slightly altruistic equilibrium [10] are introduced into bargaining theory. And computational game theory come into being a new research field. In this paper, we propose a novel method to compute Cournot point of duopoly model with alternating o®ers, this method is Inexact Proximal Alternating Directions Method. In the proposed method, the idea of alternating directions method corresponds to alternating offers, and inexact proximal point term corresponds to asymmetry information and limited individual rationality in practice. Under suitable conditions, we prove convergence of the proposed method. Numerical experimentation show its rationality, e±ciency and applicability of the proposed method.

Keywords: Bargaining problem; Cournot duopoly game; Cournot equilibrium; inexact proximal alternating directions method

Category 1: Other Topics (Game Theory )

Category 2: Complementarity and Variational Inequalities

Citation: admtobargaining_pzheng0928

Download: [PDF]

Entry Submitted: 06/03/2009
Entry Accepted: 06/03/2009
Entry Last Modified: 09/25/2009

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