Omniscience and omnipotence: How they may help - or hurt - in a game
Inquiry 25 (2):217 – 231 (1982)
| Abstract | The concepts of omniscience and omnipotence are defined in 2 ? 2 ordinal games, and implications for the optimal play of these games, when one player is omniscient or omnipotent and the other player is aware of his omniscience or omnipotence, are derived. Intuitively, omniscience allows a player to predict the strategy choice of an opponent in advance of play, and omnipotence allows a player, after initial strategy choices are made, to continue to move after the other player is forced to stop. Omniscience and its awareness by an opponent may hurt both players, but this problem can always be rectified if the other player is omniscient. This pathology can also be rectified if at least one of the two players is omnipotent, which can override the effects of omniscience. In some games, one player's omnipotence ? versus the other's ? helps him, whereas in other games the outcome induced does not depend on which player is omnipotent. Deducing whether a player is superior (omniscient or omnipotent) from the nature of his game playing alone raises several problems, however, suggesting the difficulty of devising tests for detecting superior ability in games | |||||||||
| Keywords | No keywords specified (fix it) | |||||||||
| Categories | No categories specified (fix it) | |||||||||
| Options |
|
|||||||||
Download options| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,865 |
| External links |
 |
| Through your library | Configure |
Similar books and articlesChris Freiling (1984). Banach Games. Journal of Symbolic Logic 49 (2):343-375.
Gerard van Der Laan & René van Den Brink (2002). A Banzhaf Share Function for Cooperative Games in Coalition Structure. Theory and Decision 53 (1):61-86.
Nejat Anbarci (2001). Divide-the-Dollar Game Revisited. Theory and Decision 50 (4):295-303.
Cristina Bicchieri (1993). Counterfactuals, Belief Changes, and Equilibrium Refinements. Philosophical Topics 21 (1):21-52.
Shier Ju & Xuefeng Wen (2008). An N -Player Semantic Game for an N + 1-Valued Logic. Studia Logica 90 (1):17 - 23.
Gilbert Laffond, Jean-François Laslier & Michel Le Breton (2000). KâPlayer Additive Extension of Two-Player Games with an Application to the Borda Electoral Competition Game. Theory and Decision 48 (2):129-137.
Edward Epsen (2007). Games with Zero-Knowledge Signaling. Studia Logica 86 (3):403 - 414.
Thomas Metcalf (2004). Omniscience and Maximal Power. Religious Studies 40 (3):289-306.
Analytics
Monthly downloads |
Added to index2009-03-05Total downloads5 ( #161,846 of 556,772 )Recent downloads (6 months)1 ( #64,754 of 556,772 )How can I increase my downloads? |
My notes
Discussion
