This paper studies pillage games (Jordan in J Econ Theory 131.1:26-44, 2006, "Pillage and property"), which are well …: (i) only eight configurations are possible for the core, which contains at most six allocations; (ii) for each core …. Our analysis suggests that non-linear power functions may offer better empirical tests of pillage game theory. …

games with non-empty cores this means that the core can be reached via a bounded sequence of blocks. …

of ones. We then define the balanced-core as a refinement ofthe core. A payoff vector lies in the balanced-core if it … lies in the core andthe payoff vector is an element of payoff sets of all graphs in some balanced collection ofgraphs. We … prove that any balanced graph game has a nonempty balanced-core.We conclude by some examples showing the usefulness of the …