Social MDPs

Scenarios

We apply the extended Social MDP framework to a multi-agent gridworld which consists of two agents (a yellow robot and red robot), two physical landmarks (a construction site and a tree) and three objects (an axe, wooden log, and a water bucket). Physical goals consist of moving the desired objects to one of the landmarks. Agents can have no social goal or one of the five social goals: cooperation, conflict, competition, coercion, or exchange leading to 2x6x6 = 72 scenarios.

Scenario # Yellow Robot Red Robot
Physical Goal Social Goal Social Goal Physical Goal
Scenario 1 Tree None Cooperate Construction Site
Scenario 2 Construction Site None Conflict Tree
Scenario 3 Tree None Competiton Construction Site
Scenario 4 Tree None Coercion Construction Site
Scenario 5 Construction Site None Exchange Tree
Scenario 6 Tree None None Construction Site
Scenario 7 Tree Cooperate Cooperate Construction Site
Scenario 8 Construction Site Cooperate Conflict Tree
Scenario 9 Tree Cooperate Competiton Construction Site
Scenario 10 Tree Cooperate Coercion Construction Site
Scenario 11 Construction Site Cooperate Exchange Tree
Scenario 12 Tree Cooperate None Construction Site
Scenario 13 Construction Site Conflict Cooperate Tree
Scenario 14 Construction Site Conflict Conflict Tree
Scenario 15 Tree Conflict Competiton Construction Site
Scenario 16 Construction Site Conflict Coercion Tree
Scenario 17 Tree Conflict Exchange Construction Site
Scenario 18 Construction Site Conflict None Tree
Scenario 19 Tree Competiton Cooperate Construction Site
Scenario 20 Construction Site Competiton Conflict Tree
Scenario 21 Tree Competiton Competiton Construction Site
Scenario 22 Construction Site Competiton Coercion Tree
Scenario 23 Construction Site Competiton Exchange Tree
Scenario 24 Tree Competiton None Construction Site
Scenario 25 Construction Site Coercion Cooperate Tree
Scenario 26 Tree Coercion Conflict Construction Site
Scenario 27 Tree Coercion Competiton Construction Site
Scenario 28 Tree Coercion Coercion Construction Site
Scenario 29 Construction Site Coercion Exchange Tree
Scenario 30 Tree Coercion None Construction Site
Scenario 31 Construction Site Exchange Cooperate Tree
Scenario 32 Construction Site Exchange Conflict Tree
Scenario 33 Construction Site Exchange Competiton Tree
Scenario 34 Construction Site Exchange Coercion Tree
Scenario 35 Tree Exchange Exchange Construction Site
Scenario 36 Construction Site Exchange None Tree
Scenario 37 Construction Site None Cooperate Construction Site
Scenario 38 Tree None Conflict Tree
Scenario 39 Tree None Competiton Tree
Scenario 40 Tree None Coercion Tree
Scenario 41 Construction Site None Exchange Construction Site
Scenario 42 Construction Site None None Construction Site
Scenario 43 Construction Site Cooperate Cooperate Construction Site
Scenario 44 Construction Site Cooperate Conflict Construction Site
Scenario 45 Tree Cooperate Competiton Tree
Scenario 46 Construction Site Cooperate Coercion Construction Site
Scenario 47 Construction Site Cooperate Exchange Construction Site
Scenario 48 Construction Site Cooperate None Construction Site
Scenario 49 Construction Site Conflict Cooperate Construction Site
Scenario 50 Construction Site Conflict Conflict Construction Site
Scenario 51 Tree Conflict Competiton Tree
Scenario 52 Tree Conflict Coercion Tree
Scenario 53 Tree Conflict Exchange Tree
Scenario 54 Tree Conflict None Tree
Scenario 55 Construction Site Competiton Cooperate Construction Site
Scenario 56 Construction Site Competiton Conflict Construction Site
Scenario 57 Tree Competiton Competiton Tree
Scenario 58 Tree Competiton Coercion Tree
Scenario 59 Tree Competiton Exchange Tree
Scenario 60 Tree Competiton None Tree
Scenario 61 Construction Site Coercion Cooperate Construction Site
Scenario 62 Tree Coercion Conflict Tree
Scenario 63 Tree Coercion Competiton Tree
Scenario 64 Tree Coercion Coercion Tree
Scenario 65 Construction Site Coercion Exchange Construction Site
Scenario 66 Tree Coercion None Tree
Scenario 67 Construction Site Exchange Cooperate Construction Site
Scenario 68 Tree Exchange Conflict Tree
Scenario 69 Tree Exchange Competiton Tree
Scenario 70 Tree Exchange Coercion Tree
Scenario 71 Construction Site Exchange Exchange Construction Site
Scenario 72 Construction Site Exchange None Construction Site

Scenario 1

Red robot's goals      Social:Cooperate; Physical:Construction Site
Yellow robot's goals  Social:None; Physical:Tree

Level 1 Level 2

Scenario 2

Red robot's goals      Social:Conflict; Physical:Tree
Yellow robot's goals  Social:None; Physical:Construction Site

Level 1 Level 2

Scenario 3

Red robot's goals      Social:Competition; Physical:Construction Site
Yellow robot's goals  Social:None; Physical:Tree

Level 1 Level 2

Scenario 4

Red robot's goals      Social:Coercion; Physical:Construction Site
Yellow robot's goals  Social:None; Physical:Tree

Level 1 Level 2

Scenario 5

Red robot's goals      Social:Exchange; Physical:Tree
Yellow robot's goals  Social:None; Physical:Construction Site

Level 1 Level 2

Scenario 6

Red robot's goals      Social:None; Physical:Construction Site
Yellow robot's goals  Social:None; Physical:Tree

Level 1 Level 2

Scenario 7

Red robot's goals      Social:Cooperate; Physical:Construction Site
Yellow robot's goals  Social:Cooperate; Physical:Tree

Level 1 Level 2

Scenario 8

Red robot's goals      Social:Conflict; Physical:Tree
Yellow robot's goals  Social:Cooperate; Physical:Construction Site

Level 1 Level 2

Scenario 9

Red robot's goals      Social:Competition; Physical:Construction Site
Yellow robot's goals  Social:Cooperate; Physical:Tree

Level 1 Level 2

Scenario 10

Red robot's goals      Social:Coercion; Physical:Construction Site
Yellow robot's goals  Social:Cooperate; Physical:Tree

Level 1 Level 2

Scenario 11

Red robot's goals      Social:Exchange; Physical:Tree
Yellow robot's goals  Social:Cooperate; Physical:Construction Site

Level 1 Level 2

Scenario 12

Red robot's goals      Social:None; Physical:Construction Site
Yellow robot's goals  Social:Cooperate; Physical:Tree

Level 1 Level 2

Scenario 13

Red robot's goals      Social:Cooperate; Physical:Tree
Yellow robot's goals  Social:Conflict; Physical:Construction Site

Level 1 Level 2

Scenario 14

Red robot's goals      Social:Conflict; Physical:Tree
Yellow robot's goals  Social:Conflict; Physical:Construction Site

Level 1 Level 2

Scenario 15

Red robot's goals      Social:Competition; Physical:Construction Site
Yellow robot's goals  Social:Conflict; Physical:Tree

Level 1 Level 2

Scenario 16

Red robot's goals      Social:Coercion; Physical:Tree
Yellow robot's goals  Social:Conflict; Physical:Construction Site

Level 1 Level 2

Scenario 17

Red robot's goals      Social:Exchange; Physical:Construction Site
Yellow robot's goals  Social:Conflict; Physical:Tree

Level 1 Level 2

Scenario 18

Red robot's goals      Social:None; Physical:Tree
Yellow robot's goals  Social:Conflict; Physical:Construction Site

Level 1 Level 2

Scenario 19

Red robot's goals      Social:Cooperate; Physical:Construction Site
Yellow robot's goals  Social:Competition; Physical:Tree

Level 1 Level 2

Scenario 20

Red robot's goals      Social:Conflict; Physical:Tree
Yellow robot's goals  Social:Competition; Physical:Construction Site

Level 1 Level 2

Scenario 21

Red robot's goals      Social:Competition; Physical:Construction Site
Yellow robot's goals  Social:Competition; Physical:Tree

Level 1 Level 2

Scenario 22

Red robot's goals      Social:Coercion; Physical:Tree
Yellow robot's goals  Social:Competition; Physical:Construction Site

Level 1 Level 2

Scenario 23

Red robot's goals      Social:Exchange; Physical:Tree
Yellow robot's goals  Social:Competition; Physical:Construction Site

Level 1 Level 2

Scenario 24

Red robot's goals      Social:None; Physical:Construction Site
Yellow robot's goals  Social:Competition; Physical:Tree

Level 1 Level 2

Scenario 25

Red robot's goals      Social:Cooperate; Physical:Tree
Yellow robot's goals  Social:Coercion; Physical:Construction Site

Level 1 Level 2

Scenario 26

Red robot's goals      Social:Conflict; Physical:Construction Site
Yellow robot's goals  Social:Coercion; Physical:Tree

Level 1 Level 2

Scenario 27

Red robot's goals      Social:Competition; Physical:Construction Site
Yellow robot's goals  Social:Coercion; Physical:Tree

Level 1 Level 2

Scenario 28

Red robot's goals      Social:Coercion; Physical:Construction Site
Yellow robot's goals  Social:Coercion; Physical:Tree

Level 1 Level 2

Scenario 29

Red robot's goals      Social:Exchange; Physical:Tree
Yellow robot's goals  Social:Coercion; Physical:Construction Site

Level 1 Level 2

Scenario 30

Red robot's goals      Social:None; Physical:Construction Site
Yellow robot's goals  Social:Coercion; Physical:Tree

Level 1 Level 2

Scenario 31

Red robot's goals      Social:Cooperate; Physical:Tree
Yellow robot's goals  Social:Exchange; Physical:Construction Site

Level 1 Level 2

Scenario 32

Red robot's goals      Social:Conflict; Physical:Tree
Yellow robot's goals  Social:Exchange; Physical:Construction Site

Level 1 Level 2

Scenario 33

Red robot's goals      Social:Competition; Physical:Tree
Yellow robot's goals  Social:Exchange; Physical:Construction Site

Level 1 Level 2

Scenario 34

Red robot's goals      Social:Coercion; Physical:Tree
Yellow robot's goals  Social:Exchange; Physical:Construction Site

Level 1 Level 2

Scenario 35

Red robot's goals      Social:Exchange; Physical:Construction Site
Yellow robot's goals  Social:Exchange; Physical:Tree

Level 1 Level 2

Scenario 36

Red robot's goals      Social:None; Physical:Tree
Yellow robot's goals  Social:Exchange; Physical:Construction Site

Level 1 Level 2

Scenario 37

Red robot's goals      Social:Cooperate; Physical:Construction Site
Yellow robot's goals  Social:None; Physical:Construction Site

Level 1 Level 2

Scenario 38

Red robot's goals      Social:Conflict; Physical:Tree
Yellow robot's goals  Social:None; Physical:Tree

Level 1 Level 2

Scenario 39

Red robot's goals      Social:Competition; Physical:Tree
Yellow robot's goals  Social:None; Physical:Tree

Level 1 Level 2

Scenario 40

Red robot's goals      Social:Coercion; Physical:Tree
Yellow robot's goals  Social:None; Physical:Tree

Level 1 Level 2

Scenario 41

Red robot's goals      Social:Exchange; Physical:Construction Site
Yellow robot's goals  Social:None; Physical:Construction Site

Level 1 Level 2

Scenario 42

Red robot's goals      Social:None; Physical:Construction Site
Yellow robot's goals  Social:None; Physical:Construction Site

Level 1 Level 2

Scenario 43

Red robot's goals      Social:Cooperate; Physical:Construction Site
Yellow robot's goals  Social:Cooperate; Physical:Construction Site

Level 1 Level 2

Scenario 44

Red robot's goals      Social:Conflict; Physical:Construction Site
Yellow robot's goals  Social:Cooperate; Physical:Construction Site

Level 1 Level 2

Scenario 45

Red robot's goals      Social:Competition; Physical:Tree
Yellow robot's goals  Social:Cooperate; Physical:Tree

Level 1 Level 2

Scenario 46

Red robot's goals      Social:Coercion; Physical:Construction Site
Yellow robot's goals  Social:Cooperate; Physical:Construction Site

Level 1 Level 2

Scenario 47

Red robot's goals      Social:Exchange; Physical:Construction Site
Yellow robot's goals  Social:Cooperate; Physical:Construction Site

Level 1 Level 2

Scenario 48

Red robot's goals      Social:None; Physical:Construction Site
Yellow robot's goals  Social:Cooperate; Physical:Construction Site

Level 1 Level 2

Scenario 49

Red robot's goals      Social:Cooperate; Physical:Construction Site
Yellow robot's goals  Social:Conflict; Physical:Construction Site

Level 1 Level 2

Scenario 50

Red robot's goals      Social:Conflict; Physical:Construction Site
Yellow robot's goals  Social:Conflict; Physical:Construction Site

Level 1 Level 2

Scenario 51

Red robot's goals      Social:Competition; Physical:Tree
Yellow robot's goals  Social:Conflict; Physical:Tree

Level 1 Level 2

Scenario 52

Red robot's goals      Social:Coercion; Physical:Tree
Yellow robot's goals  Social:Conflict; Physical:Tree

Level 1 Level 2

Scenario 53

Red robot's goals      Social:Exchange; Physical:Tree
Yellow robot's goals  Social:Conflict; Physical:Tree

Level 1 Level 2

Scenario 54

Red robot's goals      Social:None; Physical:Tree
Yellow robot's goals  Social:Conflict; Physical:Tree

Level 1 Level 2

Scenario 55

Red robot's goals      Social:Cooperate; Physical:Construction Site
Yellow robot's goals  Social:Competition; Physical:Construction Site

Level 1 Level 2

Scenario 56

Red robot's goals      Social:Conflict; Physical:Construction Site
Yellow robot's goals  Social:Competition; Physical:Construction Site

Level 1 Level 2

Scenario 57

Red robot's goals      Social:Competition; Physical:Tree
Yellow robot's goals  Social:Competition; Physical:Tree

Level 1 Level 2

Scenario 58

Red robot's goals      Social:Coercion; Physical:Tree
Yellow robot's goals  Social:Competition; Physical:Tree

Level 1 Level 2

Scenario 59

Red robot's goals      Social:Exchange; Physical:Tree
Yellow robot's goals  Social:Competition; Physical:Tree

Level 1 Level 2

Scenario 60

Red robot's goals      Social:None; Physical:Tree
Yellow robot's goals  Social:Competition; Physical:Tree

Level 1 Level 2

Scenario 61

Red robot's goals      Social:Cooperate; Physical:Construction Site
Yellow robot's goals  Social:Coercion; Physical:Construction Site

Level 1 Level 2

Scenario 62

Red robot's goals      Social:Conflict; Physical:Tree
Yellow robot's goals  Social:Coercion; Physical:Tree

Level 1 Level 2

Scenario 63

Red robot's goals      Social:Competition; Physical:Tree
Yellow robot's goals  Social:Coercion; Physical:Tree

Level 1 Level 2

Scenario 64

Red robot's goals      Social:Coercion; Physical:Tree
Yellow robot's goals  Social:Coercion; Physical:Tree

Level 1 Level 2

Scenario 65

Red robot's goals      Social:Exchange; Physical:Construction Site
Yellow robot's goals  Social:Coercion; Physical:Construction Site

Level 1 Level 2

Scenario 66

Red robot's goals      Social:None; Physical:Tree
Yellow robot's goals  Social:Coercion; Physical:Tree

Level 1 Level 2

Scenario 67

Red robot's goals      Social:Cooperate; Physical:Construction Site
Yellow robot's goals  Social:Exchange; Physical:Construction Site

Level 1 Level 2

Scenario 68

Red robot's goals      Social:Conflict; Physical:Tree
Yellow robot's goals  Social:Exchange; Physical:Tree

Level 1 Level 2

Scenario 69

Red robot's goals      Social:Competition; Physical:Tree
Yellow robot's goals  Social:Exchange; Physical:Tree

Level 1 Level 2

Scenario 70

Red robot's goals      Social:Coercion; Physical:Tree
Yellow robot's goals  Social:Exchange; Physical:Tree

Level 1 Level 2

Scenario 71

Red robot's goals      Social:Exchange; Physical:Construction Site
Yellow robot's goals  Social:Exchange; Physical:Construction Site

Level 1 Level 2

Scenario 72

Red robot's goals      Social:None; Physical:Construction Site
Yellow robot's goals  Social:Exchange; Physical:Construction Site

Level 1 Level 2