复旦大学：《网络科学导论 Introduction to Network Science》教学课件_10- Evolutionary game

Network science An English introductory course for undergraduate students Lecturer: Dr. Cong LI ee@ Fudan University Adaptive Networks and Control Lab

Network Science Lecturer: Dr. Cong LI EE @ Fudan University —— An English introductory course for undergraduate students Adaptive Networks and Control Lab

THE GAME OF LIFE 人生如戏,全凭演技? 人生如弈,不靠演戏! Game of life (&e How to Play It) FLORENCE SCOVEL SHINN

人生如戏，全凭演技？ 人生如弈，不靠演戏！ THE GAME OF LIFE

The game of life and How to Play it Florence Scovel Shinn(1925), 1st edition 4It asserts that life is not a battle but a game of giving and receiving, and that whatever we send out into the world will eventually be The returned to us” Game of life how to play it FLORENCE SCOVEL SHINN

3 The Game of Life and How to Play It • “It asserts that life is not a battle but a game of giving and receiving, and that whatever we send out into the world will eventually be returned to us.” Florence Scovel Shinn (1925), 1st edition

Have you ever played this game? ③② 石头剪刀布

Have you ever played this game?

Keywo ords of game Game,/博弈、 strategy/策略、 iterative decision/ 迭代决策、 rationality/理性、 selfishness自私 、 trust/信任、 devotion/奉献、 sacrifice/牺牲 Payoff vS Loss, Strategy

Keywords of Game • Game/博弈、strategy/策略、iterative decision/ 迭代决策、rationality/理性、selfishness/自私 、trust/信任、devotion/奉献、sacrifice/牺牲 • Payoff vs Loss, Strategy

Classroom question List the key words from the following video as many as possible Will invite you to list the keywords

Classroom question • List the keywords from the following video as many as possible! • Will invite you to list the keywords

M. Nowak@ Harvard Univ

M. Nowak @ Harvard Univ

Keywords from m. nowak Evolution of cooperation

Keywords from M. Nowak “Evolution of Cooperation” • ……

Classroom questions for the 2nd round of the video How to decide your best strategy in a PD? Why NATURAL SElECtion cannot generate cooperation Why TFT>ALL D>ALL C>G-TFT>TFT? What is the difference between direct reciprocity(直接互惠) and indirect reciprocity?

Classroom questions for the 2nd round of the video • How to decide your best strategy in a PD? • Why NATURAL SELECTION cannot generate cooperation? • Why TFT>ALL D>ALL C>G-TFT>TFT? • What is the difference between direct reciprocity (直接互惠) and indirect reciprocity?

Game and Nash equilibrium X=(x1,x2 X=(x,x2…,x2)约納什 2015.524 X =(n.x. X.1X U(X=U (i,x_i) Individual i,'s utility function v,U1(x2x)≥U1(x2x)2x∈X,xX Ⅹ> A Nash equilibrium If the inequality hold strict, the Nash equilibrium is a strict Nash equilibrium(SNe)

Game and Nash equilibrium * * ' * * * ' * , ( , ) ( , ), , i i i i i i i i     i U x x U x x x X x X   A Nash equilibrium 1 2 ( , , ) X x x x  n 1 2 1 1 ( , , , , ) i i i n x x x x x x     U X U x x i i i i ( ) ( , )   Individual i’s utility function * * * * 1 2 ( , , ) X x x x  n * X If the inequality hold strict, the Nash equilibrium is a strict Nash equilibrium (SNE). 约翰.纳什-2015.5.24