Treating extinction probability as equivalent to expansion probability at the three-agent threshold conflates single-round payoff structure with iterated game dynamics, a category error Skyrms explicitly warns against in 'Evolution of the Social Contract'.

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Reasons For

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Reason for

1.Single-round games isolate payoff structures; iterated games introduce history-dependence and strategy evolution that fundamentally alter outcome equivalences.
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2.Skyrms demonstrates that strategies viable in one-shot interactions fail under repetition due to reputation effects and conditional cooperation dynamics.
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3.Treating extinction and expansion as symmetrical ignores that repeated play allows populations to escape low-payoff equilibria unavailable in static analysis.
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Reasons Against

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Reason against

1.The three-agent threshold may generate identical symmetry properties in both game structures, making the distinction between static and iterated logically irrelevant.
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2.Skyrms' warnings about iteration apply to strategy selection, not to mathematical symmetries in payoff equivalence, which remain valid across contexts.
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3.If extinction and expansion probabilities are structurally isomorphic at the threshold, the categorical difference between games becomes descriptive rather than normative.
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Key Terms

Brian Skyrms(the philosopher being cited): A contemporary American philosopher who studies how social cooperation and game theory can explain human behavior and evolution.
Category error(as used in logic and philosophy of language): A logical mistake where you apply a rule or concept to something it doesn't actually fit, like using a math formula on a poem.
Evolution of the Social Contract(the specific philosophical work referenced): A book by Skyrms that explores how cooperation rules and agreements between people could have developed over time through evolutionary logic.
expansion probability(as used in game theory and evolutionary biology): The mathematical likelihood that something (like a strategy, species, or group) will grow, spread, or increase in numbers.
extinction probability(as used in game theory and evolutionary biology): The mathematical likelihood that something (like a strategy, species, or group) will disappear or die out completely.
iterated game dynamics(as used in game theory): How strategies evolve and succeed when the same game is played repeatedly over time, where past decisions affect future outcomes.
single-round payoff structure(as used in game theory): The rewards or punishments each player gets from one-time interaction, without considering what happens if they play again.
three-agent threshold(as used in game theory): A point in a situation where exactly three independent players or participants are involved, which can create different dynamics than games with two or more players.

Connections

2 topics

Consequentialism1 linked Moral Responsibility1 linked

If extinction and expansion probabilities are structurally isomorphic at the thr...Isolated cooperators and small groups of cooperators (fewer than four) face exti...

Details

Type: claim
Perspectives: 2 (1 for, 1 against)
Edits: 1 edit