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Game Formats As Chu Spaces

Author

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  • STEFANO VANNUCCI

    (Dipartimento di Economia Politica, Universita' di Siena, Piazza S.Francesco 7, 53100 Siena, Italy)

Abstract

It is argued that when morphisms are ignored virtuallyallcoalitional, strategic and extensive game formats as currently employed in the extant game-theoretic literature may be presented in a fairly natural way as (concrete categories over) discrete subcategories ofChu(Set,2). Moreover, under a suitable choice of coalitional morphisms, coalitional game formats are shown to be (concrete categories over)fullsubcategories ofChu(Set,2).

Suggested Citation

  • Stefano Vannucci, 2007. "Game Formats As Chu Spaces," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 9(01), pages 119-138.
    • Handle: RePEc:wsi:igtrxx:v:09:y:2007:i:01:n:s021919890700131x
    DOI: 10.1142/S021919890700131X
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    References listed on IDEAS

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    1. Peleg,Bezalel, 2008. "Game Theoretic Analysis of Voting in Committees," Cambridge Books, Cambridge University Press, number 9780521074650, September.
    2. Abdou, Joseph & Keiding, Hans, 2003. "On necessary and sufficient conditions for solvability of game forms," Mathematical Social Sciences, Elsevier, vol. 46(3), pages 243-260, December.
    3. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, April.
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    Cited by:

    1. Peter A. Streufert, 2016. "The Category of Node-and-Choice Preforms for Extensive-Form Games," University of Western Ontario, Departmental Research Report Series 20162, University of Western Ontario, Department of Economics.
    2. Streufert, Peter, 2018. "The Category of Node-and-Choice Forms, with Subcategories for Choice-Sequence Forms and Choice-Set Forms," MPRA Paper 90490, University Library of Munich, Germany.
    3. Peter A. Streufert, 2016. "The Category of Node-And-Choice Forms for Extensive-Form Games," University of Western Ontario, Departmental Research Report Series 20165, University of Western Ontario, Department of Economics.

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    More about this item

    Keywords

    Game forms; coalitions; Chu spaces; Categories;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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