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 Tools annual

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 Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We put a probabilistic framework on the Demographic Prisoner's Dilemma. Inthis model, cooperating and defecting individuals are placed on a torus to moveand play prisoner's dilemma game, if they are on the same site. Each individualaccumulates its payoff into a quantity called wealth. If an individual becomeswealthy enough, it can have an offspring. If its wealth becomes negative, itdisappears. In this framework we prove that if if the Sucker payoff is fargreater than the Reward then for all initial state almost surely allcooperators will die. Moreover if the Temptation payoff (resp. Reward) are fargreater than the Punition (resp. Sucker payoff) then for all initial state withpositive probability cooperators and defectors live \emph{ad vitam eternam}. Wealso set a Mean Field model on the demographic prisoner's dilemma and prove ona linearized version of the Mean Field model that with weaker assumptions withpositive probability Cooperators live \emph{ad vitam eternam}.

Demographic Prisoner's Dilemma : a probabilistic framework