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 conditions called diagonal transfer continuity and transfer upper semicontinuity, sufficient for the existence of pure-strategy and dominant-strategy Nash equilibrium, respectively. The results are used to examine the existence or nonexistence of equilibrium in some well-known economic games with discontinuous and/or non-quasi-concave payoffs. Copyright 1993 by The Review of Economic Studies Limited.
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Volume (Year): 60 (1993) Issue (Month): 4 (October) Pages: 935-48 Download reference. The following formats are available: HTML
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