We study a generalization of the well known house allocation problem in which agents may own fractions of different houses summing to an arbitrary quantity, but have use for only the equivalent of one unit of a house. We also depart from the classical model by assuming that arbitrary quantities of each house may be available to the market. Justified envy considerations arise when two agents hav...

contemporary philosophy is replete with various theories about rationality; however, the general concept of rationality is ambiguous. through exploring into the renowned schools of epistemology and philosophy of science, richard foley finds out the purpose and perspective to be constant elements in all theories of rationality. the purpose is the entity needed or desired by the individual and ca...

one of the approaches which defends the rationality of religious beliefs is the reformed epistemology. among reformed epistemologists, wolterstorff’s view is subject to less criticism. this article tries to present epistemological foundations of wolterstorff’s view by describing and analyzing the statements which he has offered in his works. wolterstorff’s epistemological foundations are explai...

Humans are without any doubts the prototypical example of agents that can hold rational beliefs and can show rational behavior. If an AGI system is intended to model the full breadth of human-level intelligence, it is reasonable to take the remarkable abilities of humans into account with respect to rational behavior, but also the apparent deficiencies of humans in certain rationality tasks. Ba...

The paper initiates the study of long term interactions where players’ bounded rationality varies over time. Time dependent bounded rationality is reflected in part in the number ψ(t) of distinct strategies in the first t-stages. We examine how the growth rate of ψi(t) affects equilibrium outcomes of repeated games. An upper bound on the individually rational payoff is derived for a class of tw...

In this paper, we investigate the collective decision problem with incomplete information and side payments. We show that a direct mechanism associated with the social choice function that satisfies budget balancing, incentive compatibility, and interim individual rationality exists for generic prior distributions. We consider the possibility that a risk-averse principal extracts full surplus i...