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51<br />

In this case only one pure Nash Equilibrium is possible: when both <strong>the</strong> IGO <strong>and</strong> state adopt <strong>the</strong><br />

Cooperate-Cooperate strategy <strong>the</strong>n <strong>the</strong>y have maximum pay<strong>of</strong>f (1, 1) whereas <strong>in</strong> case non-<br />

cooperation <strong>of</strong> any one or both <strong>the</strong> players, <strong>the</strong>re is no pay<strong>of</strong>f (0, 0) for both participat<strong>in</strong>g players.<br />

So <strong>in</strong> this model <strong>the</strong>re is only one solution that is Pareto efficient <strong>and</strong> only one strategy that is<br />

Pareto dom<strong>in</strong>ant. This setup for coord<strong>in</strong>ation game can be extended for more than two strategies<br />

<strong>and</strong> more than two players.<br />

AA Coord<strong>in</strong>ation Game<br />

When apply<strong>in</strong>g game <strong>the</strong>ory, multiple equilibria are a major obstacle to cooperation <strong>and</strong> <strong>in</strong> a<br />

simple 2×2 Prisoners‟ Dilemma, <strong>the</strong>re is only one po<strong>in</strong>t <strong>of</strong> mutual cooperation, <strong>the</strong> unatta<strong>in</strong>able<br />

Pareto optimum where both sides choose to cooperate ra<strong>the</strong>r than defect (Koremenos, Lipson, &<br />

Snidal, 2001). In <strong>the</strong> real life, though multiple choices exist for a state <strong>and</strong> an IGO, all choices<br />

are l<strong>in</strong>ked with <strong>and</strong> depend on cooperation from <strong>the</strong> both sides. Us<strong>in</strong>g Coord<strong>in</strong>ation game <strong>the</strong>ory<br />

a simple AA coord<strong>in</strong>ation game 1 between state <strong>and</strong> IGO can be modeled, which is based on 2-<br />

player: one state <strong>and</strong> one IGO; <strong>and</strong> 2-strategies: Cooperate or not to cooperate. The pay<strong>of</strong>f matrix<br />

is given below.<br />

IGOs<br />

Cooperation<br />

Non-cooperation<br />

State<br />

Cooperation Non-cooperation<br />

Figure 1 AA Coord<strong>in</strong>ation game<br />

1 The researcher has discovered <strong>the</strong> existence <strong>of</strong> a new type <strong>of</strong> coord<strong>in</strong>ation, <strong>and</strong> named it AA-Coord<strong>in</strong>ation game.<br />

AA coord<strong>in</strong>ation can be used to expla<strong>in</strong> <strong>the</strong> presence <strong>of</strong> “only one choice” for <strong>the</strong> both players <strong>in</strong> order to achieve<br />

<strong>the</strong> mutual objectives or maximize <strong>the</strong> returns. A-A are <strong>the</strong> two letters from researcher‟s name Amjad Ali.<br />

1<br />

1<br />

0<br />

1<br />

1 0<br />

1<br />

1<br />

0<br />

1<br />

0<br />

1<br />

0<br />

0<br />

1<br />

1

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