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Page 2076 of Mathematical Reviews Vol. , Issue 2003C [page]

2003 Mathematical Reviews  
betting criterion and the checking of coherence.  ...  With the aim of reducing the computational difficulty, in the checking of generalized coherence we propose a method which exploits, in the framework of the betting criterion, suitable subsets of the sets  ... 

How bad is incoherence?

Hal R. Arkes, Gerd Gigerenzer, Ralph Hertwig
2016 Decision  
We argue that smart choices need to be defined in terms of ecological rationality, which requires an analysis of the environmental structure and its match with cognitive strategies.  ...  These observations lead to the conclusion that coherence cannot be a universal benchmark of rationality.  ...  Adaptive rules of behavior do not generally lead to violations of coherence but, depending on the structure of the environment, can result in adaptive incoherence.  ... 
doi:10.1037/dec0000043 fatcat:frhu2vtv2nhijn6owalbzh7dfa

The CWI World Cup Competition: Eliciting Sets of Acceptable Gambles

Erik Quaeghebeur, Chris Wesseling, Emma Beauxis-Aussalet, Teresa Piovesan, Tom F. Sterkenburg
2017 International Symposium on Imprecise Probabilities and Their Applications  
The experiment consisted of a betting competition for the 2014 FIFA World Cup: For each match bets were assigned based on the sets of acceptable gambles elicited from the participants.  ...  We present an interface for eliciting sets of acceptable gambles on a three-outcome possibility space, discuss an experiment conducted for testing this interface, and present the results of this experiment  ...  Tom Sterkenburg is also affiliated with the Faculty of Philosophy of the University of Groningen. Teresa Piovesan is partially funded by the European Project SIQS.  ... 
dblp:conf/isipta/QuaeghebeurWBPS17 fatcat:2m34za625fgo5liwxgtoqjelgi

Characterizing the Set of Coherent Lower Previsions with a Finite Number of Constraints or Vertices [article]

Erik Quaeghebeur
2012 arXiv   pre-print
The standard coherence criterion for lower previsions is expressed using an infinite number of linear constraints.  ...  For lower previsions that are essentially defined on some finite set of gambles on a finite possibility space, we present a reformulation of this criterion that only uses a finite number of constraints  ...  Acknowledgements This research is supported by a Francqui Fellowship of the Belgian American Educational Foundation.  ... 
arXiv:1203.3509v1 fatcat:duc7kqkga5huhh4stexiku3ley

Imprecise probabilities, bets and functional analytic methods in Łukasiewicz logic

Martina Fedel, Klaus Keimel, Franco Montagna, Walter Roth
2013 Forum mathematicum  
In his foundation of probability theory, Bruno de Finetti devised a betting scheme where a bookmaker offers bets on the outcome of events φ occurring in the future.  ...  He introduced a criterion for coherent bookmaking, and showed that coherent betting odds are given by some probability distribution.  ...  As a surprise to the authors, the coherence criterion of nonexistence of bad bets, when transferred to the function space representing the MV-algebra, turned out to correspond to Walley's coherence criterion  ... 
doi:10.1515/form.2011.123 fatcat:6chvm26ldnbdfmzvnhetbvuh6m

Direct algorithms for checking consistency and making inferences from conditional probability assessments

Peter Walley, Renato Pelessoni, Paolo Vicig
2004 Journal of Statistical Planning and Inference  
Our methods work when any of the conditioning events may have probability zero, and they work when the assessments include imprecise (upper and lower) probabilities or previsions.  ...  Using ideas from the theory of imprecise probabilities, we show that the general problems have simple, direct solutions which can be implemented using linear programming algorithms.  ...  out, and also FAPESP and Escola Politécnica, Universidade de São Paulo, for support in the later stages of this project.  ... 
doi:10.1016/j.jspi.2003.09.005 fatcat:xywnykyfpfeerat5gsz5xkobsu

Risk-Sensitive Markov Control Processes

Yun Shen, Wilhelm Stannat, Klaus Obermayer
2013 SIAM Journal of Control and Optimization  
We introduce a general framework for measuring risk in the context of Markov control processes with risk maps on general Borel spaces that generalize known concepts of risk measures in mathematical finance  ...  Within the framework, applying weighted norm spaces to incorporate also unbounded costs, we study two types of infinite-horizon risk-sensitive criteria, discounted total risk and average risk, and solve  ...  To adapt in the structure of MDPs, we assume the prospect maps work on the state sequence {X t } ∞ t=0 .  ... 
doi:10.1137/120899005 fatcat:wedwi7cfnfaafdktvjvjlnsz3y

Three characterizations of strict coherence on infinite-valued events

Tommaso Flaminio
2019 The Review of Symbolic Logic  
It is meant to contribute to the logical foundations of probability theory on many-valued events and, specifically, to a deeper understanding of the notion of strict coherence.  ...  In particular, we will make use of geometrical, measure-theoretical and logical methods to provide three characterizations of strict coherence on formulas of infinite-valued Łukasewicz logic  ...  Further, we will address the problem of determining an NP-algorithm to check strict coherence for Łukasiewicz events.  ... 
doi:10.1017/s1755020319000546 fatcat:uybzzv2kdjf5rhg4zv67h3x6fe

Weak Dutch Books with imprecise previsions

Chiara Corsato, Renato Pelessoni, Paolo Vicig
2017 International Journal of Approximate Reasoning  
Uncertainty assessments for imprecise previsions based on coherence and related concepts require that the suprema of certain random numbers (interpreted as gains) are non-negative.  ...  A generalisation of the classical strict coherence and other alternative approaches to WDBs are also discussed.  ...  Acknowledgements We are grateful to the referees for their helpful comments. R. Pelessoni and P.  ... 
doi:10.1016/j.ijar.2017.05.004 fatcat:ekmcuu2fpzf7lelws6kl6qokee

Nearly-Linear uncertainty measures

Chiara Corsato, Renato Pelessoni, Paolo Vicig
2019 International Journal of Approximate Reasoning  
We investigate their consistency, which ranges from 2-coherence, the minimal condition satisfied by all, to coherence, and the kind of beliefs they can represent.  ...  In this paper we investigate a family of such models, called Nearly-Linear (NL). They generalise a number of well-known models, while preserving a simple mathematical structure.  ...  Changes resulting from the publishing process, such as peer review, editing, corrections, structural Acknowledgements We are grateful to Enrique Miranda for fruitful discussions and suggestions and to  ... 
doi:10.1016/j.ijar.2019.08.001 fatcat:5xpryp7lyzdudm46pplgn4z4ke

Experimental evidence for Zeeman spin-orbit coupling in layered antiferromagnetic conductors [article]

R. Ramazashvili, P. D. Grigoriev, T. Helm, F. Kollmannsberger, M. Kunz, W. Biberacher, E. Kampert, H. Fujiwara, A. Erb, J. Wosnitza, R. Gross, M. V. Kartsovnik
2020 arXiv   pre-print
Here, we demonstrate that the Néel state of the layered organic superconductor κ-(BETS)_2FeBr_4 shows no spin modulation of the Shubnikov-de Haas oscillations, contrary to its paramagnetic state.  ...  Obtained on two very different materials, our results demonstrate the generic character of the Zeeman spin-orbit coupling.  ...  Fits of the experimental data on the δ oscillations in κ-BETS (symbols) to Eq. (5) of the main text, assuming g ⊥ = 0 and various values for the MB fields B 0 and B AF , see text.  ... 
arXiv:1908.01236v2 fatcat:mzz4d2noqfhjlpunjv2otlbzky

Representation theorems for partially exchangeable random variables

Jasper De Bock, Arthur Van Camp, Márcio A. Diniz, Gert de Cooman
2016 Fuzzy sets and systems (Print)  
Instead of considering the two-sided bets of de Finetti, they used one-sided bets, thereby allowing them to move from linear subspaces of bets to general cones.  ...  well: lower previsions, linear previsions and probability measures.  ...  We invite the interested reader to check that, by combining ID1 with D1 and I2, one can derive the following additional rationality criterion as well: ID2. D ∩ I = ∅.  ... 
doi:10.1016/j.fss.2014.10.027 fatcat:sq7lao34qnabpatsf6oqnrv7qe

Probabilities of conditionals and previsions of iterated conditionals [article]

Giuseppe Sanfilippo, Angelo Gilio, David Over, Niki Pfeifer
2019 arXiv   pre-print
We also investigate the lower and upper bounds of the Affirmation of the Consequent inference.  ...  We conclude our study with some remarks on the supposed 'independence' of two conditionals, and we interpret this property as uncorrelation between two random quantities.  ...  Niki Pfeifer is supported by the German Federal Ministry of Education and Research, BMBF (grant 01UL1906X) and was supported by Erasmus+. 30  ... 
arXiv:1912.05696v1 fatcat:drineda4zjdh5mnwypbdts6cri

Assessment of hydrothermal performance by thermophysical characterization of a crimped glass wool building insulation

Laurent Marmoret
2016 Journal of Building Physics  
On macroscopic scale, the structural characteristics such as fiber diameter, the pore radius, total porosity, the surface area and the air permeability will be introduced.  ...  Few references present structural, hydric and thermal properties of insulation materials in the same publication. This study aims to determine main thermo-physical characteritics of two glass wools.  ...  Crosscheck between structural, hydric and thermal properties has been also realized to check the validity of experimental results.  ... 
doi:10.1177/1744259116649322 fatcat:mmy3wgzdtndlnavmtckbkff2uu

Preference Reversals: The Impact of Truth-Revealing Monetary Incentives

Joyce E. Berg, John W. Dickhaut, Thomas A. Rietz
2008 Social Science Research Network  
Researchers vigorously debate the impact of incentives in preference reversal experiments. Do incentives alter behavior and generate economically consistent choices?  ...  While there are other possible ways to classify incentives, we show a clear change in the pattern of responses under this particular definition.  ...  log linear case does not always apply here because of the non-linearities in the models.  ... 
doi:10.2139/ssrn.887775 fatcat:j32puvc2yzedxb452ewxjaf3gm
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