English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

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

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