When All is Said and Done, How Should You Play and What Should You Expect ?
Robert Aumann and
No 2005021, Discussion Papers (ECON - Département des Sciences Economiques) from Université catholique de Louvain, Département des Sciences Economiques
Modern game theory was born in 1928, when John von Neumann published his Minimax Theorem. This theorem ascribes to all two-person zero-sum games a value - what rational players may expect - and optimal strategies - how they should play to achieve that expectation. Seventy-seven years later, strategic game theory has not gotten beyond that initial point, insofar as the basic questions of value and optimal strategies are concerned. Equilibrium theories do not tell players how to play and what to expect; even when there is a unique Nash equilibrium, it is not at all clear that the players “should” play this equilibrium, nor that they should expect its payoff. Here, we return to square one : abandon all ideas of equilibrium and simply ask, how should rational players play, and what should they expect. We provide answers to both questions, for all n-persons games in strategic form.
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Working Paper: When all is said and done, how should you play and what should you expect ? (2005)
Working Paper: When All is Said and Done, How Should You Play and What Should You Expect? (2005)
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