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- Ola Mahmoud (2017): On the consistency of choice
The purpose of this paper is to study the consistency of choice independent of the particular decision model at hand. Consistency is viewed as an inherently logical concept that is fundamentally void of connotation and is thus disentangled from traditional rationality or consistency conditions imposed on decision models. The proposed formalization of consistency takes two forms: internal consistency, which refers to the property that a choice model does not generate contradictory statements; and semantic consistency, which refers to the idea that a theory’s predictions are valid with respect to some observed data. In addressing semantic consistency, the relationship between theory and data is analyzed in terms of so-called duality mappings, which allow a passage between the two universes in a way that consistency is preserved. The formalization of consistency concepts relies on adapting the revealed preference theory to the context-dependent setting.
RePEc:kap:theord:v:83:y:2017:i:4:d:10.1007_s11238-017-9635-7 Save to MyIDEAS - Andrea Prencipe & Massimo Sideri (2024): Consistency
This chapter on Consistency is an attempt to write a piece starting from Calvino’s possible source of inspiration, i.e., Herman Melville’s Bartley, the Scrivener, for his last Norton Lecture. Calvino’s idea—we believe—was to depart from Bartleby’s reluctance to accept any new tasks with his laconic ‘I prefer not to’ to deepen the notion that being consistent for its own sake may lead to death and highlight that consistency requires elements of inconsistency to enable people and organisations to live through time. The juxtaposition between consistency and inconsistency characterises the life—and death—of organisations: pretending to ‘stick to the way we do things here’ to survive entails transforming tradition in traditionalism and eventually die. The cases of Nokia and Kodak, to name recent, emblematic examples, do indicate that introducing elements of inconsistency in a consistent, long-term vision is key in order not to be disrupted by competition. The generative tension between consistency and inconsistency constitutes another layer on which to build a grammar of innovation.
RePEc:spr:sprchp:978-3-031-60649-6_7 Save to MyIDEAS - Driessen, Theo & Hu, Cheng-Cheng (2009): A note on equivalence of consistency and bilateral consistency through converse consistency
In the framework of (set-valued or single-valued) solutions for coalitional games with transferable utility, the three notions of consistency, bilateral consistency, and converse consistency are frequently used to provide axiomatic characterizations of a particular solution (like the core, prekernel, prenucleolus, Shapley value). Our main equivalence theorem claims that a solution satisfies consistency (with respect to an arbitrary reduced game) if and only if the solution satisfies both bilateral consistency and converse consistency (with respect to the same reduced game).
RePEc:eee:gamebe:v:65:y:2009:i:2:p:644-648 Save to MyIDEAS - Z. Emel Öztürk (2020): Consistency of scoring rules: a reinvestigation of composition-consistency
Two fundamental axioms of consistency in such a setting, reinforcement and composition-consistency, are incompatible. We first observe that the latter implies four conditions each of which can be formulated as a consistency axiom on its own right. ... In fact, one of these, called composition-consistency with respect to non-clone winners, turns out to characterize a class of scoring rules which contains the Plurality rule. When combined with a requirement of monotonicity, composition-consistency with respect to non-clone winners uniquely characterizes the Plurality rule. A second implication of composition-consistency leads to a class of scoring rules that always select a Plurality winner when combined with monotonicity.
RePEc:spr:jogath:v:49:y:2020:i:3:d:10.1007_s00182-020-00711-7 Save to MyIDEAS - HOKARI, T. & KIBRIS, Ö. (2001): Consistency, converse consistency, and aspirations in coalitional games
In the problems of choosing "aspirations" for coalitional games, we study two axioms, "MW-consistency" and "converse MW-consistency",introduced by Moldovanu and Winter (1994). ... In particular, westudy which subsolutions of the aspiration correspondence satisfy MW-consistency and/or converse MWconsistency.
RePEc:cor:louvco:2001030 Save to MyIDEAS - Mihir Bhattacharya (2023): Contraction consistent aggregation on trees
We study contraction consistent social choice functions (s.c.f.) in a setting where voters have single-peaked preferences over a tree. ... An s.c.f. is contraction consistent if its outcome at any profile does not change when the profile is restricted to any subset consisting of the outcome. We show that q-threshold rules on trees} are the only s.c.f.s which satisfy contraction consistency, unanimity and anonymity.
RePEc:ash:wpaper:96 Save to MyIDEAS - Braunstein Alexander (2010): Consistency and Pythagoras
This paper considers a variation that is previously unexplored on any systematic level, consistency. After discussing several important contributions to the line of literature, we demonstrate the strong correlation between Pythagorean residuals and several notions of run distribution consistency. Finally, we select the "correct" form of consistency and use it to construct a simple regression estimator, which improves RMSE by 11%.
RePEc:bpj:jqsprt:v:6:y:2010:i:1:n:8 Save to MyIDEAS - Koji Takamiya (2001): The consistency principle and an axiomatization of the -core
This paper examines the -core of strategic games by means of the consistency principle. ... And I define consistency (CONS) and two forms of converse consistency (COCONS and COCONS*) under this definition of reduced games.
RePEc:spr:jogath:v:30:y:2001:i:2:p:195-207 Save to MyIDEAS - GUILLERMO OWEN (2004): Consistency In Values
Then, the solution concept ϕ is said to be consistent if it gives the same result to the reduced games as it does to the original game.It turns out that, given a symmetry condition on two-person games, the Shapley value is the only consistent solution on the space of TU games.
RePEc:wsi:igtrxx:v:06:y:2004:i:04:n:s0219198904000307 Save to MyIDEAS - Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro & 鈴村, 興太郎 (2002): Consistent Rationalizability
Consistency of a binary relation requires any preference cycle to involve indifference only. As shown by Suzumura (1976b), consistency is necessary and sufficient for the existence of an ordering extension of a relation. Because of this important role of consistency, it is of interest to examine the rationalizability of choice functions by means of consistent relations. We describe the logical relationships between the different notions of rationalizability obtained if reflexivity or completeness are added to consistency, both for greatest-element rationalizability and for maximal-element rationalizability. All but one notion of consistent rationalizability are characterized for general domains, and all of them are characterized for domains that contain all two-element subsets of the universal set.
RePEc:hit:piedp1:82 Save to MyIDEAS