In illiquid markets, option traders may have an incentive to increase their portfolio value by using their impact on the dynamics of the underlying. We provide a mathematical framework within which to value derivatives under market impact in a multi-player framework by introducing strategic...

The paper theoretically analyses the effect of the introduction of the three-point-rule on the strategies in a soccer match. Therefore the expectation values for the goal difference at the end of the game under different strategies both for matches between equally strong teams and (more...

We introduce a stochastic game in which transition probabilitiesdepend on the history of the play, i.e., the players’past action choices.To solve this new type of game under the limiting average reward crite-rion, we determine the set of jointly-convergent pure-strategy rewardswhich can be...

It is well known that the rock-paper-scissors game has no pure saddle point. Weshow that this holds more generally: A symmetric two-player zero-sum game hasa pure saddle point if and only if it is not a generalized rock-paper-scissors game.Moreover, we show that every finite symmetric...

It is difficult to disagree with Vernon Smith's (2010) assessment of thestate of the art in experimental economics. It is informed by the experienceof someone who was there, right at the beginning of experimental economics.Some of the problems he discusses, like the frequent failure of backward...