Synchronic Information, Knowledge and Common Knowledge in Extensive Games
The language of extensive games is complex and rich. It allows one to express such notions as the order of moves, the information a player has when it is her turn to move, etc. It is not, however, a sufficiently rich language in the sense that there are meaningful and natural statements that one can make (about a given extensive game) whose truth cannot be decided without making the language richer. We shall give two examples. Consider first the extensive form of Figure 1.
KeywordsCommon Knowledge Terminal Node Extensive Form Maximum Information Strategy Profile
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- Battigalli, P. (1987) Comportamento razionale ed equilibrio nei giochi e nelle situazioni sociali, unpublished dissertation, Università Commerciale L. Bocconi, Milan.Google Scholar
- Battigalli, P. and P. Guaitoli (1996). Conjectural equilibria and rationalizability in a game with incomplete information, in: P. Battigalli, A. Montesano and F. Panunzi, eds., Decisions, games and markets, Kluwer Academic Publishers, Boston.Google Scholar
- Bonanno, G. (1994). Rationally acceptable recommendations in extensive games, mimeo, University of California Davis.Google Scholar
- Bonanno, G. (1995). A characterization of sequential equilibrium, Economic Notes, 24, 109–128.Google Scholar
- Geanakoplos, J. (1992). Common knowledge, Journal of Economic Perspectives, 6, 53–82Google Scholar
- Greenberg, J. (1990). The theory of social situations, Cambridge University Press, Cambridge.Google Scholar
- Halpern, J. (1986). Reasoning about knowledge: an overview, in J. Halpern Ed., Theoretical aspects of reasoning about knowledge, Morgan Kaufmann, Los Altos (California), 1–17.Google Scholar
- Maskin, E. and J. Tirole (1994). Markov perfect equilibria, mimeo, Harvard University.Google Scholar
- Noeldeke, G. and E. van Damme (1990). Switching away from probability one beliefs, Discussion Paper A-304, University of Bonn.Google Scholar
- Thompson, F. (1952). Equivalence of games in extensive form, Research Memorandum No. 759, The Rand Corporation.Google Scholar
- von Neumann, J. and O. Morgenstern (1944). Theory of games and economic behavior, Princeton University Press.Google Scholar