 CATCH-22 AND KING-OF-THE-MOUNTAIN GAMESSteven Brams () and Christopher B. Jones Rationality and Society, 1999, vol. 11, issue 2, 139-167 Abstract: In his classic novel, Catch-22 (1961), Joseph Heller describes a thoroughly frustrating situation faced by a combat pilot in World War II. This is generalized to a `generic' 2 × 2 strict ordinal game, which subsumes 12 specific catch-22 games . These games, along with 4 king-of-the-mountain games , turn out to be the only games in which moving power is effective , based on the `theory of moves': each player can induce a better outcome when it possesses this power than when its opponent possesses it. These 16 games constitute 28% of the 57 2 × 2 conflict games , in which there is no mutually best outcome. A specific catch-22 game is used to model the conflict between the pilot and the doctor who can certify his sanity in the Heller novel; a different catch-22 game is used to model medieval witch trials. King-of-the-mountain games portray related situations in which there is a contest to come out on top, but the player who `loses' does not suffer as much as in a catch-22 game. In all these games, cycling is always possible and frequently observed, despite the presence of pure-strategy Nash equilibria in 10 of the 16 games. Keywords: Catch-22; cycles; frustration; power; theory of moves (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:sae:ratsoc:v:11:y:1999:i:2:p:139-167 DOI: 10.1177/104346399011002002 Access Statistics for this article More articles in Rationality and Society |
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