We present two new notions of evolutionary stability, the trulyevolutionarily stable state (TESS) and the generalized evolutionarilystable equilibrium (GESE). The GESE generalizes the evolutionar-ily stable equilibrium (ESE) of Joosten [1996]. An ESE attracts allnearby trajectories...

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 develop a dynamic duopoly model of R&D competition to improve the quality of a finalgood. The innovation process is sequential and cumulative, and takes place alongside productionin an infinite-horizon setting. In this context we study the R&D incentive impacts resultingfrom a “research...

A unique indivisible commodity with an unknown common value is owned bygroup of individuals and should be allocated to one of them while compensating theothers monetarily. We study the so-called fair division game (Güth, Ivanova-Stenzel,Königstein, and Strobel (2002, 2005)) theoretically and...

Agents interacting on a body of water choose between technologiesto catch …sh. One is harmless to the resource, as it allows full recovery;the other yields high immediate catches, but low(er) future catches.Strategic interaction in one ‘objective’resource game may induceseveral ‘subjective’...

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...

Agents compete to acquire a limited economic opportunity of uncertain pro…tability.Each agent decides how much he acquires public signals before making investmentunder fear of preemption. I show that equilibria have various levels of e¢ ciency undermild competition. The e¤ect of competition...

A well—known result from the theory of finitely repeated games statesthat if the stage game has a unique equilibrium, then there is a uniquesubgame perfect equilibrium in the finitely repeated game in which theequilibrium of the stage game is being played in every period. Here Ishow that this...

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...