Direct and indirect reciprocity are key mechanisms for the evolution of cooperation. Direct
reciprocity means that individuals use their own experience to decide whether to cooperate …

Reciprocity is a simple principle for cooperation that explains many of the patterns of how
humans seek and receive help from each other. To capture reciprocity, traditional models …

In repeated social interactions, individuals often employ reciprocal strategies to maintain
cooperation. To explore the emergence of reciprocity, many theoretical models assume …

Recent theory shows that extortioners taking advantage of the zero-determinant (ZD)
strategy can unilaterally claim an unfair share of the payoffs in the Iterated Prisoner's …

In repeated interactions, players can use strategies that respond to the outcome of previous
rounds. Much of the existing literature on direct reciprocity assumes that all competing …

Punishment is an effective way to sustain cooperation among selfish individuals. In most of
previous studies, objects of punishment are set to be defectors. In this paper, we propose a …

We study the evolution of cooperation in the spatial public goods game in the presence of
third-party rewarding and punishment. The third party executes public intervention …

Abstract Recently, Press and Dyson have proposed a new class of probabilistic and
conditional strategies for the two-player iterated Prisoner's Dilemma, so-called zero …

Abstract Zero-determinant (ZD) strategies, as discovered by Press and Dyson, can enforce a
linear relationship between a pair of players' scores in the iterated prisoner's dilemma …

The advent of zero-determinant (ZD) strategies has reshaped the study of reciprocity and
cooperation in the iterated prisoner's dilemma games. The ramification of ZD strategies has …