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It is not the case that Reputation-based traits can arise in repeated games when each generation plays the entire game
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Reasons For
2 perspectives
Reason for 1 of 2
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1.
Finite automata constraints artificially bound cognitive complexity, making reputation effects an artifact of the model's architecture rather than emergent rationality.
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2.
When the number of automaton states is exogenously fixed, reputation-building reflects imposed structural limits, not genuine strategic reasoning about future interactions.
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Reason for 2 of 2
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1.
Binmore and Samuelson argue that evolutionary stability in repeated games requires generational turnover, not full-game play within a single generation.
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2.
If each generation plays the entire repeated game, selection pressures cannot distinguish between strategies that differ only in late-game behavior, undermining reputation's adaptive grounding.
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Reasons Against
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Reason against
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1.
In Neyman's model, players can only play mixtures of pure strategies programmable on finite automata
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2.
The number of available states is fixed exogenously by the modeler
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3.
Each generation plays the entire repeated game, allowing reputation effects to accumulate across rounds
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