The relationship between Newcomb's problem, which involves an apparent paradox of prediction, and Prisoners' Dilemma is explicated. After describing a resolution to Newcomb's problem, due to John A. Ferejohn, that renders the two contradictory principles of choice in Newcomb's problem (dominance...

An allocation of indivisible items among n ≥ 2 players is proportional if and only if each player receives a proportional subset—one that it thinks is worth at least 1/n of the total value of all the items. We show that a proportional allocation exists if and only if there is an allocation...

Deception, which involves the conscious misrepresentation by Deceiver of his preferences to Deceived in a game of incomplete information, is analyzed in 2 × 2 games in which the preferences of players are strictly ordered. The 78 distinct 2 × 2 games are divided into three mutually exclusive...

Assume it is known that one player in a 2 x 2 game can detect the strategy choice of its opponent with some probability before play commences. We formulate conditions under which the detector can, by credibly committing to a strategy of probabilistic tit-for-tat (based on its imperfect...

Many procedures have been suggested for the venerable problem of dividing a set of indivisible items between two players. We propose a new algorithm (AL), related to one proposed by Brams and Taylor (BT), which requires only that the players strictly rank items from best to worst. Unlike BT, in...

Randall Stone's critique of theory of moves (TOM) is motivated by a desire to purge game theory of TOM's alleged “backsliding†and restore its superior orthodoxy. But Stone's indictment is marred by serious misunderstandings of TOM and unfortunate misconceptions about what constitutes...

Game-theoretic models of deterrence and escalation, based on Chicken and Prisoners' Dilemma, are developed in which two players can initially choose any level of preemption in a crisis (Deterrence Game) or escalation in an arms race (Deescalation Game). The greater this level, the more likely an...

Arms-control inspection is modeled by two games, one played simultaneously and one sequentially, between an inspector (O) and an inspectee (E). In each game, E may choose to comply with or violate an arms-control agreement and O may choose to inspect, or not, for a possible violation by E....

Three-party negotiations are analyzed in which the players are able not only to rank alternatives but also have a preference for impasse. In a dynamic model, players progressively invoke fallback positions to try to prevent inferior outcomes from being implemented in a game of incomplete...