Cominimum additive operators
TLDR
In this paper, a class of weak additivity concepts for an operator on the set of real valued functions on a finite state space is proposed, which include additivity and comonotonic additivity as extreme cases.About:
This article is published in Journal of Mathematical Economics.The article was published on 2007-02-01 and is currently open access. It has received 12 citations till now. The article focuses on the topics: Operator (computer programming) & Additive function.read more
Citations
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"An Axiomatic Approach to Ã-contamination"
TL;DR: In this article, a set of behavioral axioms under which the decision-maker's preference is represented by the Choquet expected utility with the A-contamination of con-dence is provided.
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Agreement and stochastic independence of belief functions
TL;DR: This paper looks at a strategic situation in which each player may lack perfect understanding of the opponents' information structures, and as a result, his beliefs about his opponents' action choices are represented by a belief function (totally monotone capacity).
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The Myerson value for complete coalition structures
TL;DR: This paper proposes an extension of the Myerson value for complete coalition structures and provides an axiomatization and describes partial cooperation structures as sets of feasible coalitions.
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Consequentialism and dynamic consistency in updating ambiguous beliefs
Takao Asano,Hiroyuki Kojima +1 more
TL;DR: This paper axiomatizes the Dempster–Shafer updating rule and naive Bayes’ updating rule within the framework of Choquet expected utility within the notion of conditional comonotonicity and provides an axiom atization of consequentialism under Choquetexpected utility.
A Refinement of the Myerson Value
TL;DR: In this paper, the authors propose and axiomatize an allocation rule which distinguishes direct connections from indirect ones, and hence provides a refinement of the Myerson value, which treats direct and indirect connections of players in conferences equally, and thus assigns the same vector of payoffs to a large class of collections of conferences.
References
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Book ChapterDOI
A Value for n-person Games
TL;DR: In this paper, an examination of elementary properties of a value for the essential case is presented, which is deduced from a set of three axioms, having simple intuitive interpretations.
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Robust Estimation of a Location Parameter
TL;DR: In this article, a new approach toward a theory of robust estimation is presented, which treats in detail the asymptotic theory of estimating a location parameter for contaminated normal distributions, and exhibits estimators that are asyptotically most robust (in a sense to be specified) among all translation invariant estimators.
Book ChapterDOI
Subjective probability and expected utility without additivity
TL;DR: In this paper, an axiom of comonotonic independence is introduced, which weakens the von Neumann-Morgenstern axiom for independence, and the expected utility of an act with respect to the nonadditive probability is computed using the Choquet integral.
Journal ArticleDOI
MAxmin expected utility with non-unique prior
TL;DR: In this paper, the authors characterize preference relations over acts which have a numerical representation by the functional J(f) = min > {∫ uo f dP / P∈C } where f is an act, u is a von Neumann-Morgenstern utility over outcomes, and C is a closed and convex set of finitely additive probability measures on the states of nature.
Journal ArticleDOI
Contributions to the Theory of Games.
TL;DR: The description for this book, Contributions to the Theory of Games (AM-40), Volume IV, will be forthcoming.
Related Papers (5)
Additive Representations of Non-Additive Measures and the Choquet Integral
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