NEW ROUND

ROUND

ROUND 3, 4, ...

ROUND 3, 4, ...

V
V

-30

-280

+360

1

OUT-GROUP CONTEST I

GROUP A

V

GROUP B

1

2

1

V V
V V
V V YOU ARE HERE
V V
V V
V V YOU ARE HERE
V V V V YOU ARE HERE
V V
V V
V V
V V
V
V V
V V
V
V

?

Leader

V V V

Lost

Leader

V V

Won

V

Leader

V

Won

Leader

V V

Lost

V
V V

-130

0

0

2

IN-GROUP CONTEST A

V V
V V
V V YOU ARE HERE V Victorious
V V V V
V V
V V
V V YOU ARE HERE V Defeated

FOLLOWERS A

FOLLOWERS

V

X

V V

2

IN-GROUP CONTEST B

V V
V V
V
V V V V
V V
V V
V

FOLLOWERS B

FOLLOWERS

V

X

V
V

+600

+80

+410

3

OUT-GROUP CONTEST II

GROUP A

V

GROUP B

V V
V V
V V
V V
V V YOU ARE HERE V New Follower (former Leader)
V V
V V
V V
V V
V V YOU ARE HERE V Follower (for a second time)
V V V
V V V
V V YOU ARE HERE V New Leader (former Follower)
V V
V V V
V V V
V V Same Leader
V V
V V
V V
V V
V
V V
V V
V V
V V
V
V V Same Followers

EXAMPLE

V

1 Round

X

V

ROUND 1 (payoff of a follower who becomes the new leader)
1000 - 30 - 130 + 600 = 1440

V V STARTING BUDGET V V FINAL NET PAYOFF

ROUND 2 (payoff of a leader who becomes a follower)
1000 - 280 - 0 + 80 = 800

V V NEW ROUND, NEW STARTING BUDGET

...

ROUND 3
1000 + 360 - 0 + 410 = 1770

The round begins with section 1 and ends at section 3.

OK

Only the defeated group plays section 2 in between.

OK

In sections 1 and 3,

the GROUPS compete
( V )
.


OK

These competitions are called

OUT - group contest I and II.



OK

In the OUT-group contests,

groups compete via their leaders.

OK

A group loses the the OUT-group contest when its leader is defeated.

OK

Followers indirectly participate in the OUT-group contest
by helping or sabotaging ( ) their leader.

OK

By doing so,

they create an advantage or a disadvantage for their leader ( V ).

OK

A leader's advantage or disadvantage significantly affects their chance to win.

OK

The OUT-group contest is played in 2 consecutive steps.

OK

1

Step
Followers help or sabotage their leader.

OK

Accordingly, leaders' advantage or disadvantage are determined
and declared to the leaders.

OK

2

Step

Leaders compete ( V ).

OK

After the leaders submit their decisions,

the OUT-group contest results are determined and declared to all players.

OK

Assume group B (V) won and group A (V) lost .

OK

In the Victorious Group, Leader receives 1000 tokens
and proceeds to OUT-group contest II again as the leader.

OK

Each follower receives 100 tokens
and proceeds to OUT-group contest II again as a follower.

OK

In the Defeated Group, Leader loses its leader role, receives 0 token
and proceeds to OUT-group contest II as a follower.

OK

Each follower receives 0 token
and proceeds to their group's IN-group contest (section 2).

OK

In the IN-group contest,
the two followers compete to become the new leader.

OK

V

The strong follower ( V ) is always advantaged in the IN-group contest
and is more likely to win and become the new leader.

OK

V

If there is an imbalance of power among the followers, The strong follower ( V ) is always advantaged in the IN-group Contest
and is more likely to win and become the new leader.

OK

If there is no imbalance of power, Neither follower ( V ) has an advantage
Both are equally likely to win and become the new leader.

OK

Victorious follower proceeds to OUT-group contest II as the new leader.

OK

Defeated follower proceeds to OUT-group contest II again as a follower.

OK

OUT-group contest II is played in exactly the same way as the first one.

OK

The round ends with the OUT-group contest II.

OK