{{ block title }}
    Payoff Information
{{ endblock }}
{{ block content }}

<p>
    Your chances to make up to $8 extra are maximized if you report your true belief of the Yellow box being selected and your true expectation of Participant 2's beliefs on the same event.
    Each round, you will report your belief of a Yellow box being chosen by the computer,
    and your report determines the chances to get $4.
    You will also report your estimation of the belief reported by Participant 2 of a Yellow box being chosen,
    and the accuracy of your report determines the chances to get another $4.
</p>
<p>
    Only one round will be selected randomly to determine your final payment.
    So, please make your best decision each round.
</p>
<p>
    You can continue with the experiment by clicking the 'Next' button, but feel free to read the details if you have any doubts.
    A detailed explanation of how you increase your chances of making up to $8 extra by reporting your true beliefs will be shown if you click the 'View Payoff Details' button.
</p>


<center>
<!-- payoffs box button -->
<button type="button"
        onclick="detailsNext()"
        style="width: 200px; height: 40px;
            background-color: darkgrey;
            border-color:black">
    View Payoff Details
</button>
</center>

<script>
  function detailsNext(){
    if (document.getElementById("displaytable").style.display === "none")
        document.getElementById("displaytable").style.display="block";
    else
        document.getElementById("displaytable").style.display="none";
  }
</script>


<div id="displaytable" style="display:none">
<h3>Payoff Calculations Detailed</h3>
    <p>
        Two bets every round determine the probability to make up to $8:
    </p>

    <ol>
        <li>
        <p>
            Bet on the box selected by the computer:
        </p><p>
        In every round, you will indicate a number <strong>B<sub>1</sub></strong> between 0 and 100
        that states the probability in percentage points you believe the Yellow box was selected.
            Let's transform this quantity <strong>B<sub>1</sub>/100=b<sub>1</sub></strong> to make the next calculations easier.

        If the computer selected box Green, you will make $4 with probability (1- <strong>b<sub>1</sub></strong><sup>2</sup>)
        If the computer selected box Yellow, you will make $4 with probability (1 - <strong>(1-b<sub>1</sub>)</strong><sup>2</sup>)
        </p><p>
        Notice that if you are confident that the Yellow box was selected, you should choose <strong>B<sub>1</sub></strong>=100
            since this guarantees you $4.
        </p>
        </li>
        <li>
        <p>
        Bet on Participant 2’s bet:
        </p><p>
        Participant 2 will also bet on
            the probability in percentage points a Yellow box was selected for them by reporting the number <strong>B<sub>2</sub></strong>.
        Let's transform this quantity <strong>B<sub>2</sub>/100=b<sub>2</sub></strong> to make the next calculations easier.
            You will indicate a number <strong>E<sub>1</sub></strong> between 0 and 100 that tries to capture the bet made by Participant 2 (<strong>B<sub>2</sub></strong>).
        Let's transform this quantity <strong>E<sub>1</sub>/100=e<sub>1</sub></strong> to make the next calculations easier.

        You will make $4 with probability (1- (<strong>e<sub>1</sub></strong>-<strong>b<sub>2</sub></strong>)<sup>2</sup>).
        </p><p>
        Notice that if you are confident that Participant 2 bet on the Yellow box (<strong>b<sub>2</sub></strong>=100),
        you should choose <strong>e<sub>1</sub></strong>=100 since this guarantees you $4.
        </p>
        </li>
    </ol>

    <p>
These bets were designed such that
    if you are accurate about the probability of each outcome,
    your chances of getting up to $8 are maximized.
    Be as accurate as possible,
    and carefully consider the probability of each outcome.
Every round is independent of every other,
    and only one will be selected randomly to determine your final payment.
    So, please make your best decision in each round.
</p>
</div>

<p>

    {{ formfields }}

    {{ next_button }}

</p>
{{ endblock }}