Arieli, I. and Levy, Y. (2011) Infinite sequential games with perfect but incomplete information. International Journal of Game Theory, 40(2), pp. 207-213. (doi: 10.1007/s00182-010-0234-x)
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Abstract
Infinite sequential games, in which Nature chooses a Borel winning set and reveals it to one of the players, do not necessarily have a value if Nature has 3 or more choices. The value does exist if Nature has 2 choices. The value also does not necessarily exist if Nature chooses from 2 Borel payoff functions. Similarly, if Player 1 chooses the Borel winning set and does not reveal his selection to Player 2, then the game does not necessarily have a value if there are 3 or more choices; it does have a value if there are only 2 choices. If Player 1 chooses from 2 Borel payoff functions and does not reveal his choice, the game need not have a value either.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Levy, Dr John |
| Authors: | Arieli, I., and Levy, Y. |
| College/School: | College of Social Sciences > Adam Smith Business School > Economics |
| Journal Name: | International Journal of Game Theory |
| Publisher: | Springer-Verlag |
| ISSN: | 0020-7276 |
| ISSN (Online): | 1432-1270 |
| Published Online: | 29 April 2010 |
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