From luck to property rights
Matteo Marsili, Abdus Salam International Center for Theoretical Physics, Trieste, Italy
We address the general problem of how a population of agents converges to an allocation of resources. We distinguish the case where agents have unaligned preferences over the resources, from the one where all agents have the same preference ranking over the resources. In this case, we address the issue of how and under what conditions stable asymmetric allocation arise. Stable asymmetric allocations are those where some agent specializes in exploiting a particular resource, which is ``de facto'' equivalent to those agents acquiring property rights on those resources. Interestingly, we find that most stable asymmetric allocations arise not for the best resources nor for the worse, but for those in the middle of the preference range.