| Strategic argumentation: a game theoretical investigation |
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International Conference on Artificial Intelligence and Law
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Proceedings of the 11th international conference on Artificial intelligence and law
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Stanford, California
SESSION: Game theory
table of contents
Pages: 81 - 90
Year of Publication: 2007
ISBN:978-1-59593-680-6
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Downloads (6 Weeks): 4, Downloads (12 Months): 35, Citation Count: 2
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ABSTRACT
Argumentation is modelled as a game where the payoffs are measured in terms of the probability that the claimed conclusion is, or is not, defeasibly provable, given a history of arguments that have actually been exchanged, and given the probability of the factual premises. The probability of a conclusion is calculated using a standard variant of Defeasible Logic, in combination with standard probability calculus. It is a new element of the present approach that the exchange of arguments is analysed with game theoretical tools, yielding a prescriptive and to some extent even predictive account of the actual course of play. A brief comparison with existing argument-based dialogue approaches confirms that such a prescriptive account of the actual argumentation has been almost lacking in the approaches proposed so far.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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G. Antoniou, D. Billington, G. Governatori and M. J. Maher. In Proceedings of the Australian Conference Information Systems, pages 20-29, 1999.
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3
|
|
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4
|
D. G. Baird, R. H. Gertner. R. C. Picker. Game Theory and the Law. Harvard University Press, Cambridge, 1994.
|
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5
|
T. Bench-Capon. Post congress tristesse. In Specification and Implementation of Toulmin Dialogue Game, pages pp 5--20. JURIX, 1998.
|
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6
|
D. Billington. Defeasible logic is stable. Journal of Logic and Computation, 3(4):379--400, 1993.
|
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7
|
M. Dastani, G. Governatori, A. Rotolo, and L. van der Torre. Programming cognitive agents in defeasible logic. In G. Sutcliffe and A. Voronkov, editors, Logic for Programming, Artificial Intelligence, and Reasoning, 12th International Conference, volume 3835 of LNAI, pages 621--636. Springer, 2005.
|
| |
8
|
A. P. Dempster. A generalization of Bayesian inference. Journal of the Royal Statistical Society, Series B, 30:205--247, 1968.
|
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9
|
|
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10
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|
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11
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|
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12
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13
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G. Governatori. Representing business contracts in RuleML. International Journal of Cooperative Information Systems, 14(2--3):181--216, 2005.
|
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14
|
Guido Governatori , Marlon Dumas , Arthur H. M. ter Hofstede , Phillipa Oaks, A formal approach to protocols and strategies for (legal) negotiation, Proceedings of the 8th international conference on Artificial intelligence and law, p.168-177, May 2001, St. Louis, Missouri, United States
[doi> 10.1145/383535.383555]
|
| |
15
|
|
 |
16
|
|
| |
17
|
J. C. Hage. Reasoning with Rules. An essay on Legal Reasoning and Its Underlying Logic. Dordrecht: Kluwer Law and Philosophy Library, 1997.
|
| |
18
|
J. C. Hage and B. Verheij. Reason-Based Logic: a logic for reasoning with rules and reasons. Law, Computers and Artificial Intelligence, 3(2/3):130--155, 1994.
|
| |
19
|
A. R. Lodder. DiaLaw. On legal justification and dialog games. Dissertation Universiteit Maastricht, 1998.
|
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20
|
|
| |
21
|
|
| |
22
|
M. J. Osborne and A. Rubinstein. A Course in Game Theory. MIT Press, 1999.
|
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23
|
|
| |
24
|
H. Prakken and G. Sartor. A dialectical model of assessing conflicting arguments in legal reasoning. Artificial Intelligence and Law, 4(3--4):331--368, 1996.
|
| |
25
|
H. Prakken and G. Sartor. Modelling reasoning with precedents in a formal dialogue game. Artificial Intelligence and Law, 6(2--4):231--287, 1998.
|
| |
26
|
J. Rawls. A Theory of Justice. Oxford: Oxford University Press, 1972.
|
| |
27
|
A. C. Roth. Case-based reasoning in the law. A formal theory of reasoning by case comparison. Dissertation Universiteit Maastricht, 2003.
|
| |
28
|
G. Shafer. A Mathematical Theory of Evidence. Princeton, Princeton University Press, 1976.
|
| |
29
|
L. Zadeh. Fuzzy Sets as the Basis for a Theory of Possibility. Fuzzy Sets and Systems, 1:3--28, 1978.
|
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