Game theory and omniscience

Game theory studies the choices of two or more agents strategically interacting under various conditions. This paper examines two applications of omniscience in game theory. The first has to do with the paradox of altruism. The paradox of altruism results when players, by seeking to maximize the out...

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Bibliographic Details
Published in:International journal for philosophy of religion 2023-08, Vol.94 (1), p.91-106
Main Author: Jordan, Jeff
Format: Article
Language:English
Subjects:
Altruism
Education
Game theory
Games
Liability
Non-Western Philosophy
Philosophy
Philosophy of Religion
Religious Studies
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Summary:Game theory studies the choices of two or more agents strategically interacting under various conditions. This paper examines two applications of omniscience in game theory. The first has to do with the paradox of altruism. The paradox of altruism results when players, by seeking to maximize the outcomes of other players, bring about inferior outcomes for all the players. Not surprisingly, an omniscient player could not find herself ensnarled in an altruistic paradox. The second application is what Steven Brams has called the “paradox of omniscience”. The paradox of omniscience is the surprising proposition that omniscience disadvantages a player in certain games if her opponent knows that she is omniscient. Contrary to Brams, I argue that there is no resolution of the paradox of omniscience with regard to normal games. Indeed, I show that omniscience is not the only divine property that is a strategic liability in normal games. Omniscience then has a mixed standing in game theory—in some cases a strategic asset; in others, a strategic liability.
ISSN:0020-7047
1572-8684
DOI:10.1007/s11153-023-09866-1