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$("div[id^='myModal']").each(function(){ // target the divs whose id beging with 'myModal'

  var currentModal = $(this);
  var modalCount = ($("div[id^='myModal']").length); // total # of modals

  // click next
  currentModal.find('.btn-next').click(function(){
    currentModal.modal('hide');
    currentModal.closest("div[id^='myModal']").nextAll("div[id^='myModal']").first().modal('show');
    if (currentModal.next("div[id^='myModal']").length === 0) { // if no next modal, go to first
      $('#myModal1').modal('show');
    }
  });
  // click prev
  currentModal.find('.btn-prev').click(function(){
    currentModal.modal('hide');
    currentModal.closest("div[id^='myModal']").prevAll("div[id^='myModal']").first().modal('show');
    if (currentModal.prev("div[id^='myModal']").length === 0) { // if no prev modal, go to last
      $('#myModal' + modalCount).modal('show');
    }
  });

});

<!-- Button trigger modal -->
<button type="button" class="btn btn-primary btn-lg" data-toggle="modal" data-target="#myModal1">
  Player 1
</button>

<!-- Modal -->
<div class="modal fade" id="myModal1" tabindex="-1" role="dialog" aria-labelledby="myModalLabel" aria-hidden="true">
  <div class="modal-dialog">
    <div class="modal-content">
      <div class="modal-header">
        <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button>
        <h4 class="modal-title" id="myModalLabel">Modal title 1</h4>
      </div>
      <div class="modal-body">
        ...
      </div>
      <div class="modal-footer">
        <button type="button" class="btn btn-default btn-prev">Prev</button>
        <button type="button" class="btn btn-default btn-next">Next</button>
        <button type="button" class="btn btn-default" data-dismiss="modal">Close</button>
      </div>
    </div>
  </div>
</div>

<!-- Button trigger modal -->
<button type="button" class="btn btn-primary btn-lg" data-toggle="modal" data-target="#myModal2">
  Player 2
</button>

<!-- Modal -->
<div class="modal fade" id="myModal2" tabindex="-1" role="dialog" aria-labelledby="myModalLabel" aria-hidden="true">
  <div class="modal-dialog">
    <div class="modal-content">
      <div class="modal-header">
        <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button>
        <h4 class="modal-title" id="myModalLabel">Modal title 2</h4>
      </div>
      <div class="modal-body">
        ...
      </div>
      <div class="modal-footer">
        <button type="button" class="btn btn-default btn-prev">Prev</button>
        <button type="button" class="btn btn-default btn-next">Next</button>
        <button type="button" class="btn btn-default" data-dismiss="modal">Close</button>
      </div>
    </div>
  </div>
</div>


<!-- Button trigger modal -->
<button type="button" class="btn btn-primary btn-lg" data-toggle="modal" data-target="#myModal3">
  Player 3
</button>

<!-- Modal -->
<div class="modal fade" id="myModal3" tabindex="-1" role="dialog" aria-labelledby="myModalLabel" aria-hidden="true">
  <div class="modal-dialog">
    <div class="modal-content">
      <div class="modal-header">
        <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button>
        <h4 class="modal-title" id="myModalLabel">Modal title 3</h4>
      </div>
      <div class="modal-body">
        ...
      </div>
      <div class="modal-footer">
        <button type="button" class="btn btn-default btn-prev">Prev</button>
        <button type="button" class="btn btn-default btn-next">Next</button>
        <button type="button" class="btn btn-default" data-dismiss="modal">Close</button>
      </div>
    </div>
  </div>
</div>


<!-- Button trigger modal -->
<button type="button" class="btn btn-primary btn-lg" data-toggle="modal" data-target="#myModal4">
  Player 4
</button>

<!-- Modal -->
<div class="modal fade" id="myModal4" tabindex="-1" role="dialog" aria-labelledby="myModalLabel" aria-hidden="true">
  <div class="modal-dialog">
    <div class="modal-content">
      <div class="modal-header">
        <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button>
        <h4 class="modal-title" id="myModalLabel">Modal title 4</h4>
      </div>
      <div class="modal-body">
        ...
      </div>
      <div class="modal-footer">
        <button type="button" class="btn btn-default btn-prev">Prev</button>
        <button type="button" class="btn btn-default btn-next">Next</button>
        <button type="button" class="btn btn-default" data-dismiss="modal">Close</button>
      </div>
    </div>
  </div>
</div>