Qualified majorities consensus algorithms and Block chain algorithms












0












$begingroup$


I have a question below. Could you please help me to find the answers or reference of document about it?



Let $A = f(a_1 ;... ; a_n)$ be a set and suppose that $t$ elements of $A$ are colored red; the remaining ones are blue. Every set of $[(n+t+1)/2]$ or more elements from A is called a qualified majority.



a) Every two qualified majorities have one blue element in common. Explain why.



b) Describe further properties of set systems with qualified majorities.



c) Generalize the model from elements that are all equal by adding a weight to each element. Describe weighted qualified majorities and state some of their properties.



I appreciate for your helps. thanks keyvan










share|cite|improve this question











$endgroup$

















    0












    $begingroup$


    I have a question below. Could you please help me to find the answers or reference of document about it?



    Let $A = f(a_1 ;... ; a_n)$ be a set and suppose that $t$ elements of $A$ are colored red; the remaining ones are blue. Every set of $[(n+t+1)/2]$ or more elements from A is called a qualified majority.



    a) Every two qualified majorities have one blue element in common. Explain why.



    b) Describe further properties of set systems with qualified majorities.



    c) Generalize the model from elements that are all equal by adding a weight to each element. Describe weighted qualified majorities and state some of their properties.



    I appreciate for your helps. thanks keyvan










    share|cite|improve this question











    $endgroup$















      0












      0








      0





      $begingroup$


      I have a question below. Could you please help me to find the answers or reference of document about it?



      Let $A = f(a_1 ;... ; a_n)$ be a set and suppose that $t$ elements of $A$ are colored red; the remaining ones are blue. Every set of $[(n+t+1)/2]$ or more elements from A is called a qualified majority.



      a) Every two qualified majorities have one blue element in common. Explain why.



      b) Describe further properties of set systems with qualified majorities.



      c) Generalize the model from elements that are all equal by adding a weight to each element. Describe weighted qualified majorities and state some of their properties.



      I appreciate for your helps. thanks keyvan










      share|cite|improve this question











      $endgroup$




      I have a question below. Could you please help me to find the answers or reference of document about it?



      Let $A = f(a_1 ;... ; a_n)$ be a set and suppose that $t$ elements of $A$ are colored red; the remaining ones are blue. Every set of $[(n+t+1)/2]$ or more elements from A is called a qualified majority.



      a) Every two qualified majorities have one blue element in common. Explain why.



      b) Describe further properties of set systems with qualified majorities.



      c) Generalize the model from elements that are all equal by adding a weight to each element. Describe weighted qualified majorities and state some of their properties.



      I appreciate for your helps. thanks keyvan







      computational-mathematics






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Jan 21 at 11:15









      Henrik

      6,03592030




      6,03592030










      asked Jan 21 at 10:49









      keyvankeyvan

      12




      12






















          0






          active

          oldest

          votes











          Your Answer





          StackExchange.ifUsing("editor", function () {
          return StackExchange.using("mathjaxEditing", function () {
          StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
          StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
          });
          });
          }, "mathjax-editing");

          StackExchange.ready(function() {
          var channelOptions = {
          tags: "".split(" "),
          id: "69"
          };
          initTagRenderer("".split(" "), "".split(" "), channelOptions);

          StackExchange.using("externalEditor", function() {
          // Have to fire editor after snippets, if snippets enabled
          if (StackExchange.settings.snippets.snippetsEnabled) {
          StackExchange.using("snippets", function() {
          createEditor();
          });
          }
          else {
          createEditor();
          }
          });

          function createEditor() {
          StackExchange.prepareEditor({
          heartbeatType: 'answer',
          autoActivateHeartbeat: false,
          convertImagesToLinks: true,
          noModals: true,
          showLowRepImageUploadWarning: true,
          reputationToPostImages: 10,
          bindNavPrevention: true,
          postfix: "",
          imageUploader: {
          brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
          contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
          allowUrls: true
          },
          noCode: true, onDemand: true,
          discardSelector: ".discard-answer"
          ,immediatelyShowMarkdownHelp:true
          });


          }
          });














          draft saved

          draft discarded


















          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3081731%2fqualified-majorities-consensus-algorithms-and-block-chain-algorithms%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown

























          0






          active

          oldest

          votes








          0






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes
















          draft saved

          draft discarded




















































          Thanks for contributing an answer to Mathematics Stack Exchange!


          • Please be sure to answer the question. Provide details and share your research!

          But avoid



          • Asking for help, clarification, or responding to other answers.

          • Making statements based on opinion; back them up with references or personal experience.


          Use MathJax to format equations. MathJax reference.


          To learn more, see our tips on writing great answers.




          draft saved


          draft discarded














          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3081731%2fqualified-majorities-consensus-algorithms-and-block-chain-algorithms%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown





















































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown

































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown







          Popular posts from this blog

          MongoDB - Not Authorized To Execute Command

          How to fix TextFormField cause rebuild widget in Flutter

          in spring boot 2.1 many test slices are not allowed anymore due to multiple @BootstrapWith