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Decisions, Games, & Logic Workshop

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Second Workshop in
Decisions, Games & Logic '08
June 30 - July 2, 2008, Institute for Logic, Language and Computation, Amsterdam

HOME PROGRAMME {JOYCE , BOARD , PACUIT } PRACTICAL INFORMATION CONTACT SPONSORS INTERNAL

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Oliver Board: Logical foundations of game theory

Description of the tutorial:

Given that a game is a very sparse description of real-life strategic interaction, the goal of finding a single solution concept to apply to all games is unreasonable. Rather, we should ask when a given solution concept is applicable. Modal logic is an ideal tool for providing answers to this question. In this tutorial we review some of these answers, and discuss other insights that logic may offer the game theorist.

Suggestions for reading:

O.J. Board: "Knowledge, Beliefs and Game-Theoretic Solution Concepts", Oxford Review of Economic Policy 18, 433-445 (2002)
O.J. Board: "Dynamic Interactive Epistemology", Games and Economic Behavior 49, 49-80 (2004)

(Available at http://www.pitt.edu/~ojboard)

Biographical Note: Oliver Board is an Assistant Professor of Economics at the Department of Economics, University of Pittsburgh. He completed his undergraduate studies (in Philosophy and Economics) and graduate studies (in Economics) at the University of Oxford. He works on the foundations of game theory (most recently on unawareness) and on models of communication.

<img src="imgs/board.jpg" align="right" /><h1>Oliver Board: Logical foundations of game theory</h1>

<b>Description of the tutorial:</b>
<p>Given that a game is a very sparse description of real-life strategic interaction, the goal of finding a single solution concept to apply to all games is unreasonable. Rather, we should ask <i>when</i> a given solution concept is applicable. Modal logic is an ideal tool for providing answers to this question. In this tutorial we review some of these answers, and discuss other insights that logic may offer the game theorist.

<p><b>Suggestions for reading:</b>
<ul><li>O.J. Board: "Knowledge, Beliefs and Game-Theoretic Solution Concepts", <i>Oxford Review of Economic Policy</i> <b>18</b>, 433-445 (2002)
<li>O.J. Board: "Dynamic Interactive Epistemology", <i>Games and Economic Behavior</i> <b>49</b>, 49-80 (2004)</ul>
(Available at <a href="http://www.pitt.edu/~ojboard/">http://www.pitt.edu/~ojboard</a>)

<p><b>Biographical Note:</b>
<a href="http://www.pitt.edu/~ojboard/">Oliver Board</a> is an Assistant Professor of Economics at the Department of Economics, University of Pittsburgh. He completed his undergraduate studies (in Philosophy and Economics) and graduate studies (in Economics) at the University of Oxford. He works on the foundations of game theory (most recently on unawareness) and on models of communication.