We use quantifiers and selection functions to represent simultaneous move games. Quantifiers and selection functions are examples of higher-order functions. A higher order function is a function whose domain is itself a set of functions. Thus, quantifiers and selection func- tions allow players...

We will call a game a reachable (pure strategy) equilibria game if starting from any strategy by any player, by a sequence of best-response moves we are able to reach a (pure strategy) equilibrium. We give a characterization of all finite strategy space duopolies with reachable equilibria. We...

In response to Wooders (2001), I review the contributions of Engl and Scotchmer (1996) regarding monotonicity and the hedonic core, show how our contributions diverge from those previously in the literature, and highlight the importance of our assumptions by giving counterexamples, particularly...

In response to Wooders (2001), I review the contributions of Engl and Scotchmer (1996) regarding monotonicity and the hedonic core, show how our contributions diverge from those previously in the literature, and highlight the importance of our assumptions by giving counterexamples, particularly...

This is a survey and discussion of work covering both formal game theory and experimental gaming prior to 1991. It is a useful preliminary introduction to the considerable change and emphasis which has taken place since that time where dynamics, learning, and local optimization have challenged...

Mixed‐strategy Nash equilibrium is the cornerstone of our understanding of strategic situations that require decision makers to be unpredictable. Using data from nearly half a million serves over 3000 tennis matches, and data on player rankings from the ATP and WTA, we examine whether the...

We provide an evolutionary foundation to evidence that in some situations humans maintain optimistic or pessimistic attitudes towards uncertainty and are ignorant to relevant aspects of the environment. Players in strategic games face Knightian uncertainty about opponents' actions and maximize...