ArticleRoyal Society open science2021
Memory-two zero-determinant strategies in repeated games.
Article in Royal Society open science, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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6 citing papers in PubMed.
- Payoff equivalence and complete strategy spaces of direct reciprocity.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- Unilateral incentive alignment in two-agent stochastic games.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Conditional cooperation with longer memory.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Evolution of direct reciprocity in group-structured populations.Scientific reports · 2022Article
- Mitigation of block withholding attack based on zero-determinant strategy.PeerJ. Computer science · 2022Article
- Memory-two zero-determinant strategies in repeated games.Royal Society open science · 2021Article
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1 author.
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Abstract
Repeated games have provided an explanation of how mutual cooperation can be achieved even if defection is more favourable in a one-shot game in the Prisoner's Dilemma situation. Recently found zero-determinant (ZD) strategies have substantially been investigated in evolutionary game theory. The original memory-one ZD strategies unilaterally enforce linear relationships between average pay-offs of players. Here, we extend the concept of ZD strategies to memory-two strategies in repeated games. Memory-two ZD strategies unilaterally enforce linear relationships between correlation functions of pay-offs and pay-offs of the previous round. Examples of memory-two ZD strategy in the repeated Prisoner's Dilemma game are provided, some of which generalize the tit-for-tat strategy to a memory-two case. Extension of ZD strategies to memory-
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