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Chance, strategy, and choice : = an ...

Smith, Samuel B., (1966-)

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Chance, strategy, and choice : = an introduction to the mathematics of games and elections /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Chance, strategy, and choice :/ Samuel Bruce Smith.
其他題名:	an introduction to the mathematics of games and elections /
作者:	Smith, Samuel B.,
出版者:	New York, NY :Cambridge University Press, : 2015.,
面頁冊數:	xi, 379 p. :ill. ;26 cm.
標題:	Game theory -
ISBN:	9781107084520

Chance, strategy, and choice : = an introduction to the mathematics of games and elections /
Smith, Samuel B.,1966-

Chance, strategy, and choice :an introduction to the mathematics of games and elections /Samuel Bruce Smith. - New York, NY :Cambridge University Press,2015. - xi, 379 p. :ill. ;26 cm. - Cambridge mathematical textbooks.

Includes bibliographical references (p. [373]-375) and index.

Iroduction --

Games and elections are fundamental activities in society with applications in economics, political science, and sociology. These topics offer familiar, current, and lively subjects for a course in mathematics. This classroom-tested textbook, primarily intended for a general education course in game theory at the freshman or sophomore level, provides an elementary treatment of games and elections: Starting with basics such as gambling, zero-sum and combinatorial games, Nash equilibria, social dilemmas, and fairness and impossibility theorems for elections, the text then goes further into the theory with accessible proofs of advanced topics such as the Sprague-Grundy theorem and Arrow's impossibility theorem; Uses an integrative approach to probability, game, and social choice theory; Provides a gentle introduction to the logic of mathematical proof, thus equipping readers with the necessary tools for further mathematical studies; Contains numerous exercises and examples of varying levels of difficulty; Requires only a high school mathematical background.

ISBN: 9781107084520US49.99

LCCN: 2015003107Subjects--Topical Terms:

1244915
Game theory

LC Class. No.: QA269 / .S587 2015

Dewey Class. No.: 519.3

Chance, strategy, and choice : = an introduction to the mathematics of games and elections /
LDR:02323cam a2200217 a 4500 001 1991261
003 DLC
005 20150806120736.0
008 150930s2015 nyua b 001 0 eng
010 $a 2015003107
020 $a 9781107084520 $q (hbk.) : $c US49.99
020 $a 1107084520 $q (hbk.)
040 $a DLC $b eng
050 0 0 $a QA269 $b .S587 2015
082 0 0 $a 519.3 $2 23
100 1 $a Smith, Samuel B., $d 1966- $3 2144357
245 1 0 $a Chance, strategy, and choice : $b an introduction to the mathematics of games and elections / $c Samuel Bruce Smith.
260 # $a New York, NY : $b Cambridge University Press, $c 2015.
300 $a xi, 379 p. : $b ill. ; $c 26 cm.
490 1 0 $a Cambridge mathematical textbooks
504 $a Includes bibliographical references (p. [373]-375) and index.
505 0 # $t Iroduction -- $t Games and elections -- $t Chance -- $t Strategy -- $t Choice -- $t Strategy and choice -- $t Choice and chance -- $t Chance and strategy -- $t Nash equilibria -- $t Proofs and counterexamples -- $t Laws of probability -- $t Fairness in elections -- $t Weighted voting -- $t Gambling games -- $t Zero-sum games -- $t Partial conflict games -- $t Take-away games -- $t Fairness and impossibility -- $t Paradoxes and puzzles in probability -- $t Combinatorial games -- $t Borda versus Condorcet -- $t The Sprague-Grundy theorem -- $t Arrow's impossibility theorem.
520 # $a Games and elections are fundamental activities in society with applications in economics, political science, and sociology. These topics offer familiar, current, and lively subjects for a course in mathematics. This classroom-tested textbook, primarily intended for a general education course in game theory at the freshman or sophomore level, provides an elementary treatment of games and elections: Starting with basics such as gambling, zero-sum and combinatorial games, Nash equilibria, social dilemmas, and fairness and impossibility theorems for elections, the text then goes further into the theory with accessible proofs of advanced topics such as the Sprague-Grundy theorem and Arrow's impossibility theorem; Uses an integrative approach to probability, game, and social choice theory; Provides a gentle introduction to the logic of mathematical proof, thus equipping readers with the necessary tools for further mathematical studies; Contains numerous exercises and examples of varying levels of difficulty; Requires only a high school mathematical background.
650 # 0 $a Game theory $3 1244915
650 # 0 $a Games of chance (Mathematics) $3 697116