We introduce a stochastic game in which transition probabilitiesdepend on the history of the play, i.e., the players’past action choices.To solve this new type of game under the limiting average reward crite-rion, we determine the set of jointly-convergent pure-strategy rewardswhich can be...

In a Small Fish War two agents interacting on a body of waterhave essentially two options: they can …sh with restraint or without.Fishing with restraint is not harmful; …shing without yields a higherimmediate catch, but may induce lower future catches.Inspired by recent work in biology, we...

To analyze strategic interaction which may induce externalities, we designed Bathroom Games with frequency-dependent stage payoffs. Two people regularly use a bathroom, before leaving they can either clean up the mess made, or not. Cleaning up involves an effort, so this option always gives a...

Agents interacting on a body of water choose between technologies to catch fish. One is harmless to the resource, as it allows full recovery; the other yields high immediate catches, but low(er) future catches. Strategic interaction in one "objective" resource game may induce "subjective" games...