On lexicographic choice

Chambers, Christopher P.; Yenmez, M. Bumin

doi:10.1016/j.econlet.2018.08.006

Cited by 18 publications

(5 citation statements)

References 19 publications

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“…15 Yet, their model does not include capacity constraints and the lexicographic procedures that operationalize the lists are different. The only study that considers lexicographic choice rules that we study from an axiomatic perspective is Chambers and Yenmez (2018a). They show that lexicographic choice rules satisfy capacity-filling and path independence, and they also show that there are path independent choice rules that are not lexicographic, but they do not provide a characterization of lexicographic choice rules.…”

Section: Related Literaturementioning

confidence: 95%

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Lexicographic Choice Under Variable Capacity Constraints

Doğan

Yıldız

2017

SSRN Journal

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In several matching markets, in order to achieve diversity, agents' priorities are allowed to vary across an institution's available seats, and the institution is let to choose agents in a lexicographic fashion based on a predetermined ordering of the seats, called a (capacity-constrained) lexicographic choice rule. We provide a characterization of lexicographic choice rules and a characterization of deferred acceptance mechanisms that operate based on a lexicographic choice structure under variable capacity constraints. We discuss some implications for the Boston school choice system and show that our analysis can be helpful in applications to select among plausible choice rules.JEL Classification Numbers: C78, D47, D78.

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Section: Related Literaturementioning

confidence: 95%

“…, ≻ n ) ∈ Π. Clearly, C satisfies capacity-filling and monotonicity, and it is already known from the literature that C satisfies gross substitutes (Chambers and Yenmez, 2018a). To see that it satisfies CWARP, let a, b ∈ A and q ∈ {2, .…”

Section: An Alternative Definition Of Cwarp: For Each Capacitymentioning

confidence: 99%

Lexicographic Choice Under Variable Capacity Constraints

Doğan

Yıldız

2017

SSRN Journal

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“…They show that lexicographic choice rules satisfy capacity‐filling and path independence , and they also show that there are path‐independent choice rules that are not lexicographic, but they do not provide a characterization of lexicographic choice rules. Moreover, Chambers and Yenmez (2018a) do not have variable capacity constraints.…”

Section: Related Literaturementioning

confidence: 99%

“…Proof Let

C

be lexicographic for

(≻_{1}, …, ≻_{n}) \in normalΠ

. Clearly,

C

satisfies capacity‐filling and monotonicity , and it is already known from the literature that

C

satisfies gross substitutes (Chambers & Yenmez, 2018a). To see that it satisfies CWARP , let

a, b \in A

and

q \in {2, …, n}

be such that

a

is revealed preferred to

b

q

.…”

Section: Capacity‐constrained Lexicographic Choicementioning

confidence: 99%

“…15 Yet, their model does not include capacity constraints and the lexicographic procedures that operationalize the lists are different. The only study that considers lexicographic choice rules from an axiomatic perspective is Chambers and Yenmez (2018a). They show that lexicographic choice rules satisfy capacity-filling and path independence, and they also show that there are path-independent choice rules that are not lexicographic, but they do not provide a characterization of lexicographic choice rules.…”

mentioning

confidence: 99%

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Lexicographic choice under variable capacity constraints

Doğan

Yıldız

2020

J Public Economic Theory

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In several matching markets, to achieve diversity, agents' priorities are allowed to vary across an institution's available seats, and the institution is let to choose agents in a lexicographic fashion based on a predetermined ordering of the seats, called a (capacity-constrained) lexicographic choice rule. We provide a characterization of lexicographic choice rules and a characterization of deferred acceptance mechanisms that operate based on a lexicographic choice structure under variable capacity constraints. We discuss some implications for the Boston school choice system and show that our analysis can be helpful in applications to select among plausible choice rules. 1 | INTRODUCTION Many real-life resource allocation problems involve the allocation of an object that is available in a limited number of identical copies, called the capacity of the object. Choice rules, which are systematic ways of rationing available copies of an object when demand exceeds the capacity, are essential in the analysis of such problems. A well-known example is the school choice problem in which each school has a certain number of seats to be allocated among students. Although student preferences are elicited from the students, endowing each school with a choice rule is an essential part of the design process. Which choice rule to use is not always evident. The school choice literature, starting with the seminal study by Abdulkadiroğlu and Sönmez (2003), has widely focused on problems

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