The nodes of an extensive-form game are commonly specified as sequences of actions. Rubinstein calls such nodes histories. We find that this sequential notation is superfluous in the sense that nodes can also be specified as sets of actions. The only cost of doing so is to rule out games with...

The literature specifies extensive-form games in several styles, and eventually I hope to formally translate games across those styles. Toward that end, this paper defines NCF, the category of node-and-choice forms. The category's objects are game forms in any style, and the category's...

The current literature formally links "OR forms" (named after Osborne and Rubinstein 1994) with "KS forms" (named after Kuhn and Selten by Kline and Luckraz 2016). It also formally links "simple forms" with "AR forms" (both from Alós-Ferrer and Ritzberger 2016, with the former less prominent...

This paper develops the category NCG. Its objects are node-and-choice games, which include essentially all extensive-form games. Its morphisms allow arbitrary transformations of a game's nodes, choices, and players, as well as monotonic transformations of the utility functions of the game's...

This paper uses value functions to characterize the pure-strategy subgame-perfect equilibria of an arbitrary, possibly infinite-horizon game. It specifies the game's extensive form as a pentaform (Streufert 2023p, arXiv:2107.10801v4), which is a set of quintuples formalizing the abstract...

This paper models underclass social isolation as the loss of high-income role models and then studies the plausible conjecture that this isolation depresses the level of schooling chosen by underclass youth. It is found that although this conjecture stands in roughly calibrated simulations, it...

This paper models underclass social isolation as the loss of high-income role models and then studies the plausible conjecture that this isolation depresses the level of schooling chosen by underclass youth. It is found that although this conjecture stands in roughly calibrated simulations, it...

The current literature formally links "OR forms" (named after Osborne and Rubinstein 1994) with "KS forms" (named after Kuhn and Selten by Kline and Luckraz 2016). It also formally links "simple forms" with "AR forms" (both from Alós-Ferrer and Ritzberger 2016, with the former less prominent...