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Linear Programming Tools for Analyzing Strategic Games of Independence-Friendly Logic and Applications

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Jaakko Hintikka on Knowledge and Game-Theoretical Semantics

Part of the book series: Outstanding Contributions to Logic ((OCTR,volume 12))

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Abstract

In recent work, semantic games of independence-friendly logic were studied in strategic form in terms of (mixed strategy) Nash equilibria. The class of strategic games of independence-friendly logic is contained in the class of win-loss, zero-sum two-player games. In this note we draw on the theory of linear programming to develop tools to analyze the value of such games. We give two applications of these tools to independence-friendly logic under the so-called equilibrium semantics.

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Notes

  1. 1.

    The author is grateful to Allen L. Mann for suggesting this point of view.

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Acknowledgements

We gratefully acknowledge Fausto Barbero for careful proofreading.

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Correspondence to Merlijn Sevenster .

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Sevenster, M. (2018). Linear Programming Tools for Analyzing Strategic Games of Independence-Friendly Logic and Applications. In: van Ditmarsch, H., Sandu, G. (eds) Jaakko Hintikka on Knowledge and Game-Theoretical Semantics. Outstanding Contributions to Logic, vol 12. Springer, Cham. https://doi.org/10.1007/978-3-319-62864-6_20

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