A Dynamic Programming Implemented 2x2 non-cooperative Game Theory Model for ESS Analysis

Details A Dynamic Programming Implemented 2x2 non-cooperative Game Theory Model for ESS Analysis A Dynamic Programming Implemented 2x2 non-cooperative Game Theory Model for ESS Analysis

2009-04-28

arxiv.org/abs/0904.4298v1

Biology

Quantitative Biology

Populations and Evolution

9 pages 3 sub models to illustrate how dynamic programming is implemented to construct payoff matrix of 2x2 symmetric game

Scientific paper

Game Theory has been frequently applied in biological research since 1970s. While the key idea of Game Theory is Nash Equilibrium, it is critical to understand and figure out the payoff matrix in order to calculate Nash Equilibrium. In this paper we present a dynamic programming implemented method to compute 2x2 non-cooperative finite resource allocation game's payoff matrix. We assume in one population there exists two types of individuals, aggressive and non-aggressive and each individual has equal and finite resource. The strength of individual could be described by a function of resource consumption in discrete development stages. Each individual undergoes logistic growth hence we divide the development into three stages: initialization, quasilinear growth and termination. We first discuss the theoretical frame of how to dynamic programming to calculate payoff matrix then give three numerical examples representing three different types of aggressive individuals and calculate the payoff matrix for each of them respectively. Based on the numerical payoff matrix we further investigate the evolutionary stable strategies (ESS) of the games.

Affiliated with

Also associated with

No associations

Rating

A Dynamic Programming Implemented 2x2 non-cooperative Game Theory Model for ESS Analysis does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Dynamic Programming Implemented 2x2 non-cooperative Game Theory Model for ESS Analysis, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Dynamic Programming Implemented 2x2 non-cooperative Game Theory Model for ESS Analysis will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-712731