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...

The paper proves that in two-player logit form symmetric contestswith concave success function, commitment to a particular strategydoes not increase a player's payo, while in contests with more thantwo players it does. The paper also provides a contest-like game inwhich commitment does not...

We suggest an alternative way of analyzing the canonical Bergstrom-Blume-Varian model of non-cooperative voluntary contributions to a public goodthat avoids the proliferation of dimensions as the number of players is in-creased. We exploit this approach to analyze models in which the...

We study aggregative games in which players’ strategy sets areconvex intervals of the real line and (not necessarily differentiable)payoffs depend only on a player’s own strategy and the sum of allplayers’ strategies. We give sufficient conditions on each player’s payofffunction to...

We show that the presence of loss aversion on the part of participantsin a Tullock imperfectly discriminating contest will significantlyreduce the proportion of the rent dissipated in the form of resourcesused up in the competition for that rent...

We exploit the aggregative structure of the public good modelto provide a simple analysis of the voluntary contribution game. Incontrast to the best response function approach, ours avoids the pro-liferation of dimensions as the number of players is increased, andcan readily analyse games...

This paper considers the extent to which expenditure by contestants inimperfectly discriminating rent-seeking contests dissipates all or only partof the rent. In particular, we investigate strategic effects, technologicaleffects and asymmetry under an assumption of diminishing returns to...