LEADER 03865nam 2200673 a 450 001 9910828643103321 005 20210917023448.0 010 $a1-283-00147-0 010 $a9786613001474 010 $a1-4008-2253-X 010 $a1-4008-1367-0 024 7 $a10.1515/9781400822539 035 $a(CKB)111056486501426 035 $a(EBL)662361 035 $a(OCoLC)614747511 035 $a(SSID)ssj0000253768 035 $a(PQKBManifestationID)11939338 035 $a(PQKBTitleCode)TC0000253768 035 $a(PQKBWorkID)10205804 035 $a(PQKB)11519453 035 $a(DE-B1597)447014 035 $a(OCoLC)979685326 035 $a(DE-B1597)9781400822539 035 $a(Au-PeEL)EBL662361 035 $a(CaPaEBR)ebr10031987 035 $a(CaONFJC)MIL300147 035 $a(MiAaPQ)EBC662361 035 $a(PPN)265135028 035 $a(EXLCZ)99111056486501426 100 $a19970815d1998 uy 0 101 0 $aeng 135 $aurnn#---|u||u 181 $ctxt 182 $cc 183 $acr 200 10$aSupermodularity and complementarity /$fDonald M. Topkis 205 $aCourse Book 210 $aPrinceton, N.J. $cPrinceton University Press$dc1998 215 $a1 online resource (285 p.) 225 1 $aFrontiers of economic research 300 $aDescription based upon print version of record. 311 0 $a0-691-03244-0 320 $aIncludes bibliographical references (p. [263]-268) and index. 327 $tFront matter --$tContents --$tPreface --$tChapter 1. Introduction --$tChapter 2. Lattices, Supermodular Functions, and --$tChapter 3. Optimal Decision Models --$tChapter 4. Noncooperative Games --$tChapter 5. Cooperative Games --$tBibliography --$tIndex 330 $aThe economics literature is replete with examples of monotone comparative statics; that is, scenarios where optimal decisions or equilibria in a parameterized collection of models vary monotonically with the parameter. Most of these examples are manifestations of complementarity, with a common explicit or implicit theoretical basis in properties of a super-modular function on a lattice. Supermodular functions yield a characterization for complementarity and extend the notion of complementarity to a general setting that is a natural mathematical context for studying complementarity and monotone comparative statics. Concepts and results related to supermodularity and monotone comparative statics constitute a new and important formal step in the long line of economics literature on complementarity. This monograph links complementarity to powerful concepts and results involving supermodular functions on lattices and focuses on analyses and issues related to monotone comparative statics. Don Topkis, who is known for his seminal contributions to this area, here presents a self-contained and up-to-date view of this field, including many new results, to scholars interested in economic theory and its applications as well as to those in related disciplines. The emphasis is on methodology. The book systematically develops a comprehensive, integrated theory pertaining to supermodularity, complementarity, and monotone comparative statics. It then applies that theory in the analysis of many diverse economic models formulated as decision problems, noncooperative games, and cooperative games. 410 0$aFrontiers of economic research. 606 $aDecision making$xMathematical models 606 $aNoncooperative games (Mathematics) 615 0$aDecision making$xMathematical models. 615 0$aNoncooperative games (Mathematics) 676 $a658.4/033 700 $aTopkis$b Donald M.$f1942-$067420 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910828643103321 996 $aSupermodularity and complementarity$945232 997 $aUNINA