Context dependent games as quantifiers and selection functions
Hedges, Jules
;
Oliva, Paulo
;
Winschel, Evguenia
;
Winschel, Viktor
;
Zahn, Philipp
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Hedges,_Oliva,_Winschel,_Winschel,_Zahn_14-13.pdf
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URL:
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https://madoc.bib.uni-mannheim.de/36178
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URN:
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urn:nbn:de:bsz:180-madoc-361786
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Document Type:
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Working paper
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Year of publication:
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2014
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The title of a journal, publication series:
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Working Paper Series
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Volume:
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14-13
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Place of publication:
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Mannheim
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Publication language:
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English
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Institution:
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School of Law and Economics > VWL, Internat. Wirtschaftsbeziehungen (Adam)
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MADOC publication series:
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Department of Economics > Working Paper Series
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Subject:
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330 Economics
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Classification:
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JEL:
C0 , D01 , D03 , D63 , D64,
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Keywords (English):
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context dependent refinement of Nash equilibrium , higher order functions , quantifiers , selection functions , beauty contest , minority game , endogenous economist
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Abstract:
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We use quantifiers and selection functions to represent simultaneous move games. Quantifiers and selection functions are examples of
higher-order functions. A higher order function is a function whose domain is itself a set of functions. Thus, quantifiers and selection func-
tions allow players to form goals not only about outcomes but about the whole (or parts) of the game play. They encompass standard pref-
erences and utility functions as special cases, but also extend to non-maximizing behavior and context-dependent motives. We adapt the Nash equilibrium concept to our new representation and also introduce a refinement to capture the essential features of context-dependent
motives. As an example, we discuss fixpoint operations as context dependent goals of coordination and differentiation in simultaneous
game variants of Keyne's beauty contest and the minority game.
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Search Authors in
BASE:
Hedges, Jules
;
Oliva, Paulo
;
Winschel, Evguenia
;
Winschel, Viktor
;
Zahn, Philipp
Google Scholar:
Hedges, Jules
;
Oliva, Paulo
;
Winschel, Evguenia
;
Winschel, Viktor
;
Zahn, Philipp
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