Bach, Christian W. and Heilmann, Conrad (2009) Agent connectedness and backward induction. LSE Choice Group working paper series, vol. 5, no. 3. The Centre for Philosophy of Natural and Social Science (CPNSS), London School of Economics, London, UK.
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Abstract
We analyze the sequential structure of dynamic games with perfect information. A three-stage account is proposed, that species setup, reasoning and play stages. Accordingly, we define a player as a set of agents corresponding to these three stages. The notion of agent connectedness is introduced into a type-based epistemic model. Agent connectedness measures the extent to which agents' choices are sequentially stable. Thus describing dynamic games allows to more fully understand strategic interaction over time. In particular, we provide suffcient conditions for backward induction in terms of agent connectedness. Also, our framework makes explicit that the epistemic independence assumption involved in backward induction reasoning is stronger than usually presumed, and makes accessible multiple-self interpretations for dynamic games.
| Item Type: | Monograph (Working Paper) |
|---|---|
| Official URL: | http://www2.lse.ac.uk/CPNSS/Home.aspx |
| Additional Information: | © 2009 The authors |
| Library of Congress subject classification: | H Social Sciences > HB Economic Theory |
| Sets: | Research centres and groups > LSE Choice Group Research centres and groups > Centre for Philosophy of Natural and Social Science (CPNSS) Departments > Philosophy, Logic and Scientific Method Collections > Economists Online |
| Rights: | http://www.lse.ac.uk/library/rights/LSERO.htm |
| Identification Number: | vol. 5, no. 3 |
| URL: | http://eprints.lse.ac.uk/27000/ |
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