caa a22 4500 605475431 CHVBK 20210128100352.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s00199-014-0820-4 doi (NATIONALLICENCE)springer-10.1007/s00199-014-0820-4 Morrill Thayer North Carolina State University, Raleigh, NC, USA aut Two simple variations of top trading cycles [Elektronische Daten] [Thayer Morrill] Top Trading Cycles is widely regarded as the preferred method of assigning students to schools when the designer values efficiency over fairness. However, Top Trading Cycles has an undesirable feature when objects may be assigned to more than one agent as is the case in the school choice problem. If agent $$i$$ i 's most preferred object $$a$$ a has a capacity of $$q_a$$ q a , and $$i$$ i has one of the $$q_a$$ q a highest priorities at $$a$$ a , then Top Trading Cycles will always assign $$i$$ i to $$a$$ a . However, until $$i$$ i has the highest priority at $$a$$ a , Top Trading Cycles allows $$i$$ i to trade her priority at other objects in order to receive $$a$$ a . Such a trade is not necessary for $$i$$ i 's assignment and may cause a distortion in the fairness of the assignment. We introduce two simple variations of Top Trading Cycles in order to mitigate this problem. The first, Clinch and Trade, reduces the number of unnecessary trades but is bossy and depends on the order in which cycles are processed. The second, First Clinch and Trade, is nonbossy and independent of the order in which cycles are processed but allows more unnecessary trades than is required to be strategyproof and efficient. Both rules are strategyproof. Springer-Verlag Berlin Heidelberg, 2014 Top trading cycles nationallicence School choice nationallicence Assignment nationallicence Economic Theory Springer Berlin Heidelberg 60/1(2015-09-01), 123-140 0938-2259 60:1<123 2015 60 199 https://doi.org/10.1007/s00199-014-0820-4 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00199-014-0820-4 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Morrill Thayer North Carolina State University, Raleigh, NC, USA aut NATIONALLICENCE 773 0- Economic Theory Springer Berlin Heidelberg 60/1(2015-09-01), 123-140 0938-2259 60:1<123 2015 60 199