This paper characterizes pure-strategy and dominant-strategy Nash equilibrium in noncooperative games that may have discontinuous and/or non-quasi-concave payoffs. Conditions called diagonal transfer quasi-concavity and uniform transfer quasi-concavity are shown to be necessary and, with...

This paper provides necessary and sufficient conditions for the existence of greatest and maximal elements of weak and strict preferences, and unifies two very different approaches used in the related literature (the convexity and acyclicity approaches). Conditions called transfer FS-convexity...

This paper provides two theorems which characterize the domains of valuation functions for which there exist Pareto efficient and truth dominant strategy mechanisms (balanced Groves mechanisms). Theorem 1 characterizes the existence of balanced Groves mechanisms for a general class of valuation...

This paper considers the problem of designing 'well-behaved' mechanisms whose Nash allocations coincide with Lindahl allocations in the presence of decreasing returns to scale technologies. The mechanism presented here is individually feasible, balanced, continuous, and differentiable around...