We study monotonicity properties of solutions to the classic problem of fair cake-cutting—dividing a heterogeneous resource among agents with different preferences. Resource- and population-monotonicity relate to scenarios where the cake, or the number of participants who divide the cake, changes. It is required that the utility of all participants change in the same direction: either all of them are better-off (if there is more to share or fewer to share among) or all are worse-off (if there is less to share or more to share among). We formally introduce these concepts to the cake-cutting setting and show that they are violated by common division rules. In contrast, we prove that the Nash-optimal rule—maximizing the product of utilities—is resource-monotonic and population-monotonic, in addition to being Pareto-optimal, envy-free and satisfying a strong competitive-equilibrium condition. Moreover, we prove that it is the only rule among a natural family of welfare-maximizing rules that is both proportional and resource-monotonic.
Venue: MTA HTK 1097 Budapest Tóth Kálmán u. 4. fszt. K0.11-12 Attila LINDNER – Balázs MURAKÖZY – Balázs REIZER Skill-Biased Innovation Activities: Evidence from Hungarian Firms This paper investigates the consequences of innovation activities. We exploit a ... Details »
Venue: MTA HTK 1097 Budapest Tóth Kálmán u. 4. fszt. K0.11-12 István KÓNYA, Judit KREKÓ, Gábor OBLATH Labor shares in the EU sectoral effects and the role of relative prices The paper studies the labor ... Details »
Venue: MTA HTK 1097 Budapest Tóth Kálmán u. 4. fszt. K0.11-12 Róbert SOMOGYI: Prioritization vs Zero-rating: Discrimination on the Internet Abstract: This paper analyzes two business practices on the mobile internet market, paid prioritization and zero-rating. ... Details »
Learning to save in a voluntary pension system: toward an agent-based model by András SIMONOVITS and Balázs KIRÁLY was published in Journal of Economic ... Details »
Ambient temperature and sexual activity: Evidence from time use surveys by Tamás HAJDU and Gábor HAJDU was published in Demographic Research. Abstract Background: Previous ... Details »
“Inter-Ethnic Friendship and Hostility between Roma and Non-Roma Students in Hungary: The Role of Exposure and Academic Achievement” by Tamás HAJDU, Gábor KERTESI and ... Details »