LEADER 03111oam 2200577I 450 001 9910467032203321 005 20200520144314.0 010 $a0-429-06675-9 010 $a1-4398-9117-6 024 7 $a10.1201/b12121 035 $a(CKB)3790000000016438 035 $a(EBL)1635974 035 $a(OCoLC)908670251 035 $a(SSID)ssj0001482362 035 $a(PQKBManifestationID)12621433 035 $a(PQKBTitleCode)TC0001482362 035 $a(PQKBWorkID)11412297 035 $a(PQKB)10611853 035 $a(MiAaPQ)EBC1635974 035 $a(Au-PeEL)EBL1635974 035 $a(CaPaEBR)ebr11167446 035 $a(OCoLC)1030993922 035 $a(EXLCZ)993790000000016438 100 $a20180706d2010 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 12$aA mathematical look at politics /$fby E. Arthur Robinson, Jr. and Daniel H. Ullman 205 $aFirst edition. 210 1$aBoca Raton, FL :$cCRC Press, an imprint of Taylor and Francis,$d2010. 215 $a1 online resource (472 p.) 300 $aDescription based upon print version of record. 311 $a1-4398-1983-1 320 $aIncludes bibliographical references. 327 $aCover; Contents; Preface for the Reader; Preface for the Instructor; Part I: Voting; Introduction to Part I; 1: Two Candidates; 2: Social Choice Functions; 3: Criteria for Social Choice; 4: Which Methods Are Good?; 5: Arrow's Theorem; 6: Variations on the Theme; Notes on Part I; Part II: Apportionment; Introduction to Part II; 7: Hamilton's Method; 8: Divisor Methods; 9: Criteria and Impossibility; 10: The Method of Balinski and Young; 11: Deciding among Divisor Methods; 12: History of Apportionment in the United States; Notes on Part II; Part III: Conflict; Introduction to Part III 327 $a13: Strategies and Outcomes14: Chance and Expectation; 15: Solving Zero-Sum Games; 16: Conflict and Cooperation; 17: Nash Equilibria; 18: The Prisoner's Dilemma; Notes on Part III; Part IV: The Electoral College; Introduction to Part IV; 19: Weighted Voting; 20: Whose Advantage?; Notes on Part IV; Solutions to Odd-Numbered Exercises and Problems; Bibliography; Back Cover 330 3 $aWhat Ralph Nader's spoiler role in the 2000 presidential election tells us about the American political system. Why Montana went to court to switch the 1990 apportionment to Dean?s method. How the US tried to use game theory to win the Cold War, and why it didn?t work. When students realize that mathematical thinking can address these sorts of pressing concerns of the political world it naturally sparks their interest in the underlying mathematics. 606 $aPolitical science$xMathematics 608 $aElectronic books. 615 0$aPolitical science$xMathematics. 676 $a320.01/513 700 $aRobinson$b Jr., E. Arthur$0909123 702 $aUllman$b Daniel H. 801 0$bFlBoTFG 801 1$bFlBoTFG 906 $aBOOK 912 $a9910467032203321 996 $aA mathematical look at politics$92033547 997 $aUNINA