Eliciting Objective Probabilities via Lottery Insurance Games
| Abstract | Since utilities and probabilities jointly determine choices, event-dependent utilities complicate the elicitation of subjective event probabilities. However, for the usual purpose of obtaining the information embodied in agent beliefs, it is sufficient to elicit objective probabilities, i.e., probabilities obtained by updating a known common prior with that agent’s further information. Bayesians who play a Nash equilibrium of a certain insurance game before they obtain relevant information will afterward act regarding lottery ticket payments as if they had event-independent risk-neutral utility and a known common prior. Proper scoring rules paid in lottery tickets can then elicit objective probabilities | |||||||||
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Giuseppe Attanasi & Aldo Montesano (forthcoming). The Price for Information About Probabilities and its Relation with Risk and Ambiguity. Theory and Decision.
Matthew Weiner & Nuel Belnap (2006). How Causal Probabilities Might Fit Into Our Objectively Indeterministic World. Synthese 149 (1):1--36.
B. Loewer (2001). Determinism and Chance. Studies in History and Philosophy of Science Part B 32 (4):609-620.
Sven Ove Hansson (2008). Do We Need Second-Order Probabilities? Dialectica 62 (4):525-533.
Itzhak Gilboa, Offer Lieberman & David Schmeidler (2010). On the Definition of Objective Probabilities by Empirical Similarity. Synthese 172 (1).
Paul Weirich (1988). Trustee Decisions in Investment and Finance. Journal of Business Ethics 7 (1-2):73 - 80.
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