| A New Foundation |
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xv | |
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2x2 games and the strategic form |
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1 | (8) |
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2 | (2) |
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2x2 games in strategic form |
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4 | (2) |
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Conventions for payoff matrices |
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6 | (2) |
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8 | (1) |
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9 | (24) |
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9 | (1) |
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The strategic form in payoff space |
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10 | (5) |
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The inducement correspondence |
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11 | (1) |
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Using payoff-space representations to analyse games |
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12 | (3) |
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15 | (1) |
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16 | (4) |
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Using order graphs to count the 2 x 2 games |
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17 | (2) |
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Numbering the 2 x 2 games |
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19 | (1) |
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20 | (5) |
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21 | (3) |
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24 | (1) |
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Assignment and reflection |
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25 | (1) |
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25 | (2) |
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Appendix: Relating payoff patterns to the indexing system |
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27 | (6) |
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Elementary topology of 2 x 2 games |
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33 | (24) |
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35 | (1) |
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36 | (4) |
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Talking about the neighbours |
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37 | (3) |
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40 | (3) |
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Constructing the graph of 2 x 2 games |
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43 | (13) |
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Subgraph/subspace/subgroup generated by a single swap: Z2 |
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44 | (1) |
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Two non-overlapping operations: Z2 x Z2 |
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45 | (1) |
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Overlapping operations: P6 |
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46 | (2) |
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48 | (2) |
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50 | (1) |
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50 | (2) |
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52 | (1) |
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The Euler -- Poincare characteristic |
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52 | (1) |
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53 | (1) |
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54 | (1) |
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54 | (2) |
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56 | (1) |
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57 | (16) |
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The seven most studied 2 x 2 games |
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57 | (1) |
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The nature of a symmetric game |
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58 | (1) |
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Counting the symmetric games |
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59 | (3) |
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Identifying the symmetric games |
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60 | (2) |
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The space of symmetric games |
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62 | (3) |
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A map of the symmetric games |
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65 | (3) |
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65 | (2) |
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The world of the symmetric games: a flying octahedron |
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67 | (1) |
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Do the symmetric games matter? |
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68 | (2) |
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Appendix: Other subspaces under the symmetric operations |
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70 | (3) |
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73 | (20) |
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73 | (1) |
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The nature of the Prisoner's Dilemma |
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74 | (2) |
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Overlapping neighbourhoods |
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76 | (5) |
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Conditions defining the PD as intersecting regions |
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80 | (1) |
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The Prisoner's Dilemma Family |
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81 | (2) |
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An alibi for one prisoner |
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83 | (2) |
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The asymmetry of the Alibi games |
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85 | (4) |
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85 | (1) |
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Bargaining in Alibi games |
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86 | (3) |
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Rank-sum inefficiency in the PDF |
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89 | (1) |
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90 | (3) |
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93 | (12) |
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Least among equals: the X12 swaps |
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93 | (2) |
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Instability zone -- X12 swaps matter |
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95 | (2) |
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97 | (5) |
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The pipe with the PD, microcosm of the 2 x 2 games |
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98 | (2) |
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100 | (2) |
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102 | (3) |
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Holes, Coordination games, Battles of the Sexes and the hotspots |
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105 | (10) |
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Location and structure of hotspots |
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106 | (2) |
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How many holes? Thirty-seven |
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108 | (1) |
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109 | (4) |
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The two-equilibrium hotspot |
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112 | (1) |
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The no-equilibrium hotspot |
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113 | (1) |
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113 | (1) |
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Geography of the social dilemmas |
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113 | (2) |
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115 | (16) |
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Conflict, no conflict, mixed interests |
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115 | (3) |
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Describing conflict using inducement correspondences |
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118 | (1) |
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A single-surface map of the 144 games |
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119 | (2) |
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121 | (3) |
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Giver and taker: the Type games |
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124 | (1) |
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125 | (1) |
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126 | (1) |
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Completing the classification |
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126 | (3) |
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129 | (2) |
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A Periodic Table for the 2 x 2 Games |
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131 | (16) |
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The Periodic Table of the 2 x 2 games: indexing |
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132 | (3) |
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135 | (1) |
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Conflict and common interest |
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136 | (1) |
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137 | (1) |
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Two, one or no dominant strategies |
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138 | (2) |
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Two, one or no Nash equilibria |
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139 | (1) |
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Dominant strategies and unmixed interests |
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139 | (1) |
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140 | (1) |
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141 | (2) |
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143 | (4) |
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147 | (12) |
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A real-valued version of the model |
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148 | (2) |
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An evolutionary investigation |
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150 | (6) |
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153 | (3) |
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In conclusion: ordinal boundaries and real behaviour |
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156 | (3) |
| Glossary |
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159 | (10) |
| Bibliography |
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169 | (4) |
| Index |
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173 | |
