Nonatomic games on Loeb spaces

In the setting of noncooperative game theory, strategic negligibility of individual agents, or diffuseness of information, has been modeled as a nonatomic measure space, typically the unit interval endowed with Lebesgue measure. However, recent work has shown that with uncountable action sets, for example the unit interval, there do not exist pure-strategy Nash equilibria in such nonatomic games. In this brief announcement, we show that there is a perfectly satisfactory existence theory for nonatomic games provided this nonatomicity is formulated on the basis of a particular class of measure spaces, hyperfinite Loeb spaces. We also emphasize other desirable properties of games on hyperfinite Loeb spaces, and present a synthetic treatment, embracing both large games as well as those with incomplete information.

Rotten Symbol Mongering: Scapegoating in Post-9/11 American War Literature

A rhetorical approach to the fiction of war offers an appropriate vehicle by which one may encounter and interrogate such literature and the cultural metanarratives that exist therein. My project is a critical analysis—one that relies heavily upon Kenneth Burke’s dramatistic method and his concepts of scapegoating, the comic corrective, and hierarchical psychosis—of three war novels published in 2012 (The Yellow Birds by Kevin Powers, FOBBIT by David Abrams, and Billy Lynn’s Long Halftime Walk by Ben Fountain). This analysis assumes a rhetorical screen in order to subvert and redirect the grand narratives the United States perpetuates in art form whenever it goes to war. Kenneth Burke’s concept of ad bellum purificandum (the purification of war) sought to bridge the gap between war experience and the discourse that it creates in both art and criticism. My work extends that project. I examine the symbolic incongruity of convenient symbols that migrate from war to war (“Geronimo” was used as code for Osama bin Laden’s death during the S.E.A.L team raid; “Indian Country” stands for any dangerous land in Iraq; hajji is this generation’s epithet for the enemy other). Such an examination can weaken our cultural “symbol mongering,” to borrow a phrase from Walker Percy. These three books, examined according to Burke’s methodology, exhibit a wide range of approaches to the soldier’s tale. Notably, however, whether they refigure the grand narratives of modern culture or recast the common redemptive war narrative into more complex representations, this examination shows how one can grasp, contend, and transcend the metanarrative of the typical, redemptive war story.