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Inverse View
It is not the case that Without prior specification of rules and payoff functions, 'player types' and 'processes of play' lack the formal grounding needed for rigorous analysis.
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Reasons For
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Reason for
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1.
Emergent properties and real-world complexity often defy prior specification; rules co-evolve with play itself.
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2.
Requiring full formal grounding before analysis excludes valuable evolutionary, behavioral, and institutional insights.
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3.
Player types and processes can be meaningfully characterized descriptively before formal axiomatization occurs.
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Reasons Against
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Reason against
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1.
Mathematical rigor requires explicit axioms; game theory without specified rules is indistinguishable from informal narrative.
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2.
Ambiguous payoff functions allow post-hoc rationalization of any outcome, making falsification impossible.
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3.
Formal specification enables reproducible analysis and peer verification, foundational to scientific method.
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