Game of Duels: Information-Theoretic Axiomatization of Scoring Rules
| Autor: | Hrvoje Šikić, Sonja Radas, Drazen Prelec, Jakša Cvitanić |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Infinite set
Computer science Entropy (statistical thermodynamics) Scoring rule Bayesian probability 020206 networking & telecommunications 02 engineering and technology Library and Information Sciences Information theory Bayesian truth serum axiomatization scoring rules Computer Science Applications Entropy (classical thermodynamics) Nonlinear Sciences::Exactly Solvable and Integrable Systems 0202 electrical engineering electronic engineering information engineering Entropy (information theory) Entropy (energy dispersal) Entropy (arrow of time) Finite set Mathematical economics Axiom Information Systems Entropy (order and disorder) |
| Zdroj: | IEEE Transactions on Information Theory. 65:530-537 |
| ISSN: | 1557-9654 0018-9448 |
| Popis: | — 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. |
| Databáze: | OpenAIRE |
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