In the classic cake-cutting problem (Steinhaus, 1948), a heterogeneous resource has to be divided among agents with different valuations in a proportional way —giving each agent a piece with a value of at least of the total. In many applications, such as dividing a land-estate or a time-interval, it is also important that the pieces are connected. We propose two additional requirements: resource-monotonicity (RM) and population-monotonicity (PM). When either the cake or the set of agents changes and the cake is re-divided using the same rule, the utility of all remaining agents must change in the same direction. Classic cake-cutting protocols are neither RM nor PM. Moreover, we prove that no Pareto-optimal proportional division rule can be either RM or PM. Motivated by this negative result, we search for division rules that are weakly-Pareto-optimal —no other division is strictly better for all agents. We present two such rules. The relative-equitable rule, which assigns the maximum possible relative value equal for all agents, is proportional and PM. The so-called rightmost mark rule, which is an improved version of the Cut and Choose protocol, is proportional and RM for two agents.
Venue: MTA HTK 1097 Budapest Tóth Kálmán u. 4. fszt. K013-14-es előadóterem Ride-share matching algorithms generate income inequality Eszter Bokányi and Anikó Hannák Abstract Despite the potential of online sharing economy platforms such as Uber, Lyft, ... Details »
Venue: MTA HTK 1097 Budapest Tóth Kálmán u. 4. fszt. K011-12-es előadóterem Kiss Hubert János: Coopetition in group contest https://www.mtakti.hu/wp-content/uploads/2019/05/MTDP1911.pdf Share this:FacebookLinkedInTwitter
“Opinion leaders – experts of social relations” was presented by Balázs SZIKLAI at the EURO2019 – 30th European Conference on Operational Research. Share this:FacebookLinkedInTwitter
Download “Coopetition in group contest” by Hubert János Kiss – Alfonso Rosa-Garcia – Vita Zhukova here. Abstract There are situations in which competitors ally ... Details »
Ata Atay‘s two recent workings papers have been published and are accessible at the following links: A bargaining set for roommate ... Details »