Paper Title:
Cooperation Research on Zero-Sum Game
  Abstract

The current studies have shown the necessary condition for cooperation is that cost must be less than benefit and there is no cooperation for zero-sum game in which cost is equal to benefit. Here we design a game model of Parrondo’s Paradox in a biological group, which embodies two kinds of game relationships between individual survival and evolution process: 1) the zero-sum game between individuals is called game A. Game A reflects the competition-cooperation relationship between individuals and we set up six kinds of behaviors, such as cooperation, competition, inaction, harmony, matthew and poor-competition-rich-cooperation; 2)the negative-sum game between individuals and environments is called game B. Game B is divided into two branches with different winning probability according to divisibility relations between the total capital and modulus called M. The results of computer simulation and analysis to game A and game B show that: 1) All manner of cooperation and competition behaviors are the adaptive behaviors .2) Harmony behavior has a low social efficiency and lower average fitness of the population, but it is fair and has a high proportion of population viability, equitable distribution of individual fitness.3) Matthew behavior will lead to individual fitness distribution of the population to a extreme imbalance and bring about a Matthew effect which means " Strong individual has always been strong and the weak individual has always been weak". Matthew approach has a lower proportion of the population living. 4) poor-competition-rich-cooperation behavior has the best adaptability, so cooperation of zero-sum game may be carried out by poor-competition-rich-cooperation behavior.

  Info
Periodical
Edited by
Ran Chen
Pages
3338-3344
DOI
10.4028/www.scientific.net/AMM.44-47.3338
Citation
R. Li, N. G. Xie, R. Meng, G. Xu, "Cooperation Research on Zero-Sum Game", Applied Mechanics and Materials, Vols. 44-47, pp. 3338-3344, 2011
Online since
December 2010
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Ye Ye, Neng Gang Xie, Yu Wan Cen, Qing Yun Liu
Abstract:For flocking task of multiple mobile robots (MMR for short), the paper establishes a multi-objective optimization model and studies a solving...
1845
Authors: Xin Ma
Abstract:The stability of cooperation contract is the result of abandon opportunistic behavior in the process of repeated games among the enterprise...
794
Authors: Xin Xu
Chapter 7: Construction Project Management
Abstract:This paper analyzed the cooperation between construction enterprises in game theory. Research shows construction enterprises in building...
2793
Authors: Gen Yi Niu
Chapter 4: Management and Economy
Abstract:Tacit knowledge sharing is the basis and prerequisite of knowledge innovation. In this paper the incentive mechanism of tacit knowledge...
564