We present results on the existence of pure strategy Nash equilibria in nonatomic games. We also show by means of counterexamples that the stringent conditions on the cardinality of action setsâ€¦ (More)

This paper examines a two stage model of product choice with elastic demand. The duopolists choose locations in the initial stage and compete in prices in the next stage. The consumers' demand variesâ€¦ (More)

In 1951, Dvoretzky, Wald and Wolfowitz (henceforth DWW) showed that corresponding to any mixed strategy into a finite action space, there exists a pure-strategy with an identical integral withâ€¦ (More)

We present a comprehensive theory of large games in which players have names and determinate social-types and/or biological traits, and identify through four decisive examples, essentially based on aâ€¦ (More)

We present an example of a two-person game of private information in which there is no equilibrium in pure strategies. Our example satisfies all the hypotheses of the existence theorems present inâ€¦ (More)

A comprehensive theory of large strategic games with (socioeconomic and biological) traits (LSGT ) has recently been presented in Khan et al. (2012 a and b), and in this paper, we present aâ€¦ (More)

We present proofs, based on the Shapley-Folkman theorem, of the convexity of the range of a strongly continuous, finitely additive measure, as well as that of an atomless, countably additive measure.â€¦ (More)

This paper examines Hotelling's model of location with linear transportation cost. Existence of pure strategy subgame perfect equilibria in the inÂ®nitely repeated price game with Â®xed locations isâ€¦ (More)

This paper elucidates the conceptual role that independent randomization plays in non-cooperative game theory. In the context of large (atomless) games in normal form, we present preciseâ€¦ (More)