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The rest of the accessible positions are thought-about open class positions. Allocation procedures should give the right incentives to applicants to reveal their vertical reserve categories voluntarily. Being vertical reserve eligible by itself isn’t sufficient to be thought of for reserved seats. Applicants from SC, ST, and OBC are thought of just for open category positions if they don’t reveal their vertical category membership. It also have to be revealed by the applicant. Allocation procedures in keeping with which revealing vertical category membership hurts applicants are in opposition to the philosophy of affirmative motion policies. See Sönmez and Yenmez (2019b) for the details of the One Hundred and Third Modification of the Structure of India. Vertical reserve eligibility revelation is elective.

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If an applicant doesn’t declare a vertical category membership, then she will probably be considered just for open category seats. Optionally available vertical class revelation turns into essential on this setting as it’d create a channel for reserved category students to strategically manipulate the system. If they are not in a position to obtain an open category position, they’ll then be thought-about for reserved positions of their respective vertical reserve category. Individuals who report their vertical category membership in SC, ST, or OBC are first thought of for open category seats. To illustrate this level consider the following instance.

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Therefore, we assume that people don’t have preferences for horizontal types. S. Individuals have unit demand in the sense that they select at most one contract from a given set of contracts. Establishments in India with multi-unit demand have complicated choice procedures when vertical and horizontal reservations are jointly implemented. In what follows, we describe institutions’ selection criteria by way of (total) alternative rules which have been proven to be useful instruments in matching markets with advanced constraints.

Stability ensures that (1)1(1)( 1 ) no individual is matched with an unacceptable institution-category pair, (2)2(2)( 2 ) institutional selections are respected, and (3)3(3)( 3 ) no particular person desires a seat at which she has a justified claim below a given benefit ranking and horizontal reservation structure. Strategy-proofness guarantees that people can never sport the allocation mechanism via desire manipulation. In our framework, it additionally relieves people of the strategic manipulation burden, which involves whether or not individuals declare their vertical and horizontal category memberships.131313Strategy-proofness ensures that it is a weakly dominant technique for each pupil to report their vertical category membership.