6 papers · 1 filter
Invariant Modeling for Joint Distributions
Christopher P. Chambers, Yusufcan Masatlioglu, Ruodu Wang
A common theme underlying many problems in statistics and economics involves the determination of a systematic method of selecting a joint distribution consistent with a specified…
Revealed Invariant Preference
Peter Caradonna, Christopher P. Chambers
We consider the problem of rationalizing choice data by a preference satisfying an arbitrary collection of invariance axioms. Examples of such axioms include quasilinearity, homoth…
Success functions in large contests
Yaron Azrieli, Christopher P. Chambers
We consider contests with a large set (continuum) of participants and axiomatize contest success functions that arise when performance is composed of both effort and a random eleme…
Multiple Adjusted Quantiles
Christopher P. Chambers, Alan D. Miller
We cardinally and ordinally rank distribution functions (CDFs). We present a new class of statistics, maximal adjusted quantiles, and show that a statistic is invariant with respec…
A Note on Invariant Extensions of Preorders
Peter Caradonna, Christopher P. Chambers
We consider the problem of extending an acyclic binary relation that is invariant under a given family of transformations into an invariant preference. We show that when a family o…
Recovering utility
Christopher P. Chambers, Federico Echenique, Nicolas S. Lambert
We provide sufficient conditions under which a utility function may be recovered from a finite choice experiment. Identification, as is commonly understood in decision theory, is n…