Kóczy’s paper published in AnOR

Kóczy’s paper titled “Core-stability over networks with widespread externalities” has been published in the Annals of Operations Research.

The Covid-19 epidemic highlighted the significance of externalities: contacts with other people affect the chances of getting infected for our entire network. We study endogenous network formation where not only players or pairs but larger coalitions can, cooperatively change the network. We introduce a model for coalitional network stability for networks with widespread externalities. The network function form generalises the partition function form of cooperative games in allowing the network to be taken into account. The recursive core for network function form games generalises the recursive core for such environments. We present two simple examples to illustrate positive and negative externalities. The first is of a favour network and show that the core is nonempty when players must pay transfers to intermediaries; this simple setting also models economic situations such as airline networks. The second models social contacts during an epidemic and finds social bubbles as the solution.

Kóczy, L.Á. Core-stability over networks with widespread externalities. Ann Oper Res (2022). https://doi.org/10.1007/s10479-022-04669-5

Kóczy’s paper published in Games

Kóczy’s paper titled “Exits from the European Union and Their Effect on Power Distribution in the Council” (joint work with Dóra Gréta Petróczy and Mark Francis Rogers) has been published in Games.

Debates on an EU-leaving referendum arose in several member states after Brexit. This paper studies the effects of an additional exit on the power distribution in the Council of the European Union. Power indices of the member states are studied both with and without the country which might leave the union. Results show a pattern connected to a change in the number of states required to meet the 55% threshold. An exit that modifies this number benefits the countries with high population, while an exit that does not cause such a change benefits the small member states. According to the calculations, only the exit of Poland would be supported by the qualified majority of the Council.

Petróczy, D.G.; Rogers, M.F.; Kóczy, L.Á. Exits from the European Union and Their Effect on Power Distribution in the Council. Games 202213, 18. https://doi.org/10.3390/g13010018