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Game of Duels: Information-Theoretic Axiomatization of Scoring Rules

Cvitanić, Jakša and Prelec, Dražen and Radas, Sonja and Šikić, Hrvoje (2019) Game of Duels: Information-Theoretic Axiomatization of Scoring Rules. IEEE Transactions on Information Theory, 65 (1). pp. 530-537. ISSN 0018-9448. http://resolver.caltech.edu/CaltechAUTHORS:20180906-140959870

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Abstract

This paper aims to develop the insights into Bayesian truth serum (BTS) mechanism by postulating a sequence of seven natural conditions reminiscent of axioms in information theory. The condition that reduces a larger family of mechanisms to BTS is additivity, akin to the axiomatic development of entropy. The seven conditions identify BTS as the unique scoring rule for ranking respondents in situations in which respondents are asked to choose an alternative from a finite set and provide predictions of their peers’ propensities to choose, for finite or infinite sets of respondents.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/TIT.2018.2867469DOIArticle
ORCID:
AuthorORCID
Cvitanić, Jakša0000-0001-6651-3552
Radas, Sonja0000-0002-2168-6772
Šikić, Hrvoje0000-0002-3058-230X
Additional Information:© 2017 IEEE. Manuscript received March 26, 2016; revised August 13, 2018; accepted August 13, 2018. Date of publication August 30, 2018; date of current version December 19, 2018. J. Cvitanić was supported by NSF under Grant DMS 10-08219. S. Radas was supported by the Marie Curie International Outgoing Fellowship through the 7th European Community Framework Programme under Grant PIOF-GA-2013-622868 - BayInno. H. Šikić was supported in part by MZOS, Croatia, under Grant 037-372790-2799 and in part by the Croatian Science Foundation under Project 3526. This paper was presented in part at the 2017 Bayesian Crowd Workshop.
Funders:
Funding AgencyGrant Number
NSFDMS 10-08219
Marie Curie FellowshipPIOF-GA-2013-622868
Ministarstvo znanosti i obrazovanja037-0372790-2799
Croatian Science Foundation3526
Subject Keywords:Bayesian truth serum, information entropy, Shannon theory
Record Number:CaltechAUTHORS:20180906-140959870
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180906-140959870
Official Citation:J. Cvitanić, D. Prelec, S. Radas and H. Šikić, "Game of Duels: Information-Theoretic Axiomatization of Scoring Rules," in IEEE Transactions on Information Theory, vol. 65, no. 1, pp. 530-537, Jan. 2019. doi: 10.1109/TIT.2018.2867469
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:89425
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:07 Sep 2018 00:03
Last Modified:20 Dec 2018 18:37

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