Team reasoning cannot be viewed as a payoff transformation

Economics and Philosophy 40 (1):1-11 (2024)
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Abstract

In a recent article in this journal, Duijf claims to have proved that team reasoning can be viewed as a payoff transformation. His formalization mimics team reasoning but ignores its essential agency switch. The possibility of such a payoff transformation was never in doubt, does not imply that team reasoning can be viewed as a payoff transformation, and makes no sense in a game in which payoffs represent players’ utilities. A theorem is proved here that a simpler and more intuitive payoff transformation can mimic any theory that predicts what strategies players will choose in a well-defined game.

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Games and Decisions: Introduction and Critical Survey.R. Duncan Luce & Howard Raiffa - 1958 - Philosophy and Phenomenological Research 19 (1):122-123.
Mathematical Psychics.F. Y. Edgeworth - 1881 - Mind 6 (24):581-583.

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