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. K0.11-12 Marczell Kinga (CEU) The Effect of Managers’ Health Shocks on Employment Practices with Hajdu Gergely (CEU) We investigate the effect of managers’ health ... Details »
Venue: MTA HTK 1097 Budapest Tóth Kálmán u. 4. fszt. K0.11-12 Békés Gábor, Bisztray Márta: Területi egyensúly – a munkaerőpiac és az ingatlanárak kapcsolata Magyarországon TBA Share this:FacebookLinkedInTwitterGoogle
Venue: MTA HTK 1097 Budapest Tóth Kálmán u. 4. fszt. K0.11-12 Csató László (BCE, MTA-SZTAKI) A universal university ranking from the revealed preferences of the applicants https://arxiv.org/abs/1810.04087 A methodology is presented to rank universities on ... Details »
Job loss, disability pension and health expenditures was presented by Anikó BÍRÓ at The University of Edinburgh, School of Economics. Share this:FacebookLinkedInTwitterGoogle
Dynamics of anticorruption campaigns and power redistribution in China was presented by Mária CSANÁDI at the 4th The Role of State in Varieties of Capitalism (SVOC) conference. Share ... Details »
The effect of FDI on local suppliers – Evidence from Audi in Hungary was presented by Márta BISZTRAY at the 11th FIW International Economics research conference. ... Details »