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Harsanyi's type space construction assumes common knowled... — Carmelics

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Challenges→The space of all epistemic types is universal in the sense that every relational model can be mapped in a truth-preserving manner to the space of all types.

Harsanyi's type space construction assumes common knowledge of the prior, but this assumption is not derivable from the relational model structure alone.

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Reasons For

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Reason for

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1.Relational models specify agent beliefs about states and payoffs, but say nothing about beliefs about the probability distribution over states themselves.
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2.Common knowledge of the prior requires agreement on beliefs about beliefs across all possible types, which is a substantive epistemic requirement beyond relational structure.
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3.Harsanyi's construction imposes the prior as an external constraint; it is not logically entailed by the relational specification of preferences and information partitions.
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Reasons Against

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Reason against

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1.The relational model already encodes beliefs through type-dependent belief functions, which implicitly determine a unique consistent prior via Bayesian rationality.
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2.Any coherent assignment of types that respects the relational structure automatically satisfies common knowledge of the prior under standard rationality assumptions.
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3.Treating the prior as separately 'derivable' misunderstands that Harsanyi's construction is a representation theorem mapping structures into a specific mathematical form, not an inference problem.
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Key Terms

knowledge(Distinguished from mere true belief, which may be the product of indoctrination and need not exercise deliberative capacities.): Justified true belief — true belief that has been arrived at through the exercise of deliberative capacities, including comparison of and deliberation among alternatives.

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Truth & Knowledge1 linked Modality & Possibility1 linked

Related

Any coherent assignment of types that respects the relational structure automati...Common knowledge of the prior requires agreement on beliefs about beliefs across...Harsanyi's construction imposes the prior as an external constraint; it is not l...Relational models specify agent beliefs about states and payoffs, but say nothin...

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The relational model already encodes beliefs through type-dependent belief funct...The space of all epistemic types is universal in the sense that every relational...

Details

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

Treating the prior as separately 'derivable' misunderstands that Harsanyi's cons...