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    Three essays on extensive-form games and strategic complements

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    Feng_ku_0099D_15629_DATA_1.pdf (4.421Mb)
    Issue Date
    2017-12-31
    Author
    Feng, Yue
    Publisher
    University of Kansas
    Format
    110 pages
    Type
    Dissertation
    Degree Level
    Ph.D.
    Discipline
    Economics
    Rights
    Copyright held by the author.
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    Abstract
    Games with strategic complements have the property that best response set of a player is increasing in the strategies of opponents in the standard lattice set order. Normal form games with strategic complements have been extensively studied in the literature. Such property in extensive form games are less well studied and turns out to be hard to analyze. This dissertation studies strategic complements in extensive form games. Echenique (2004) has a definition for extensive form game with strategic complements. We show in Chapter 2 that there are many cases of interest that are beyond his definition. Even simple two-stage $2\times 2$ game does not satisfy his definition. More generally, we characterize when two-stage $2\times 2$ game have strategic complements. This shows the aspects of strategic complements not captured by standard definition. Another way to analyze 2-stage games is to look at their reduced normal form (Mailath, Samuelson and Swinkels (1993)). In Chapter 3, we show that standard ordinal strategic complementarity conditions imposed on the reduced normal form are not sufficient to generate strategic complements in the extensive form. Semi no crossing conditions are added to make it sufficient. Moreover, I provide conditions on the reduced normal form to characterize strategic complements in the two-stage games. I also show how to recover the extensive form from the reduced normal form by applying the algorithm in (MSS (1994)). In Chapter 4, I study strategic complements in more general two-player multi-stage games. I show that in response to different classes of opponent's strategies, the corresponding best response sets must include strategies that can generate certain paths of play once the conditions are met. I then characterize the structure of best response sets necessary to exhibit strategic complements.
    URI
    http://hdl.handle.net/1808/27016
    Collections
    • Economics Dissertations and Theses [169]
    • Dissertations [4321]

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    Lawrence, KS 66045
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    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

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