<div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/9db0b056-6773-412e-a0c8-5693d378d40f/bg1.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls3 ws8">Primera práctica calificada 2023A 12E</div><div class="t m0 x2 h3 y2 ff2 fs1 fc1 sc0 ls3 ws8">Marque V o F</div><div class="t m0 x3 h4 y3 ff3 fs1 fc1 sc0 ls3 ws8">1.<span class="blank _0"> </span>El<span class="blank _1"> </span> <span class="blank _1"> </span>método<span class="blank _1"> </span> <span class="blank _1"> </span>de<span class="blank _1"> </span> <span class="blank _1"> </span>mejor<span class="blank _1"> </span> <span class="blank _1"> </span>respuesta<span class="blank _1"> </span> <span class="blank _1"> </span>bajo<span class="blank _1"> </span> <span class="blank _1"> </span>estrategias <span class="blank _1"> </span>pur<span class="blank _1"> </span>as, <span class="blank _1"> </span>siempre<span class="blank _1"> </span> <span class="blank _1"> </span>permite<span class="blank _1"> </span> <span class="blank _1"> </span>hallar<span class="blank _1"> </span> <span class="blank _1"> </span>equilibrios<span class="blank _1"> </span> <span class="blank _1"> </span>de</div><div class="t m0 x4 h4 y4 ff3 fs1 fc1 sc0 ls3 ws8">Nash.<span class="blank _2"> </span>( )</div><div class="t m0 x3 h4 y5 ff3 fs1 fc1 sc0 ls3 ws8">2.<span class="blank _0"> </span>Las estrategias mixtas representan una parte específica de las estrategias puras<span class="blank _1"> </span>.<span class="blank _3"> </span>(<span class="fc2"> </span>)</div><div class="t m0 x3 h4 y6 ff3 fs1 fc1 sc0 ls3 ws8">3.<span class="blank _0"> </span>En<span class="blank _4"> </span> <span class="blank _4"> </span>un<span class="blank _4"> </span> <span class="blank _5"> </span>juego<span class="blank _4"> </span> <span class="blank _4"> </span>determinado,<span class="blank _4"> </span> <span class="blank _5"> </span>el<span class="blank _4"> </span> <span class="blank _4"> </span>conjunto<span class="blank _5"> </span> <span class="blank _4"> </span>de<span class="blank _4"> </span> <span class="blank _4"> </span>estrategias<span class="blank _5"> </span> <span class="blank _4"> </span>estrictamente<span class="blank _4"> </span> <span class="blank _4"> </span>eliminada<span class="blank _1"> </span>s<span class="blank _4"> </span> <span class="blank _4"> </span>puede<span class="blank _4"> </span> <span class="blank _4"> </span>ser</div><div class="t m0 x4 h4 y7 ff3 fs1 fc1 sc0 ls3 ws8">igual a las estrategias racionalizables.<span class="blank _6"> </span>(</div><div class="t m0 x4 h4 y8 ff3 fs1 fc1 sc0 ls3">)</div><div class="t m0 x3 h4 y9 ff3 fs1 fc1 sc0 ls3 ws8">4.<span class="blank _0"> </span>El Equilibrio <span class="blank _1"> </span>de Nash asume <span class="blank _1"> </span>que los jugadores <span class="blank _1"> </span>no tienen incentivos <span class="blank _1"> </span>a desviarse en c<span class="blank _1"> </span>on<span class="blank _7"></span>junto</div><div class="t m0 x4 h4 ya ff3 fs1 fc1 sc0 ls3 ws8">del equilibrio, a diferencia del Óptimo de Pareto.<span class="blank _8"> </span>(<span class="fc2"> </span>)</div><div class="t m0 x3 h4 yb ff3 fs1 fc1 sc0 ls3 ws8">5.<span class="blank _0"> </span>En<span class="blank _4"> </span> <span class="blank _4"> </span>juegos<span class="blank _4"> </span> <span class="blank _4"> </span>estáticos<span class="blank _5"> </span> <span class="blank _4"> </span>de<span class="blank _4"> </span> <span class="blank _4"> </span>información<span class="blank _4"> </span> <span class="blank _4"> </span>com<span class="blank _1"> </span>pleta,<span class="blank _4"> </span> <span class="blank _4"> </span>es<span class="blank _4"> </span> <span class="blank _4"> </span>preferible<span class="blank _4"> </span> <span class="blank _4"> </span>representar<span class="blank _4"> </span> <span class="blank _4"> </span>dichos<span class="blank _5"> </span> <span class="blank _4"> </span>juegos<span class="blank _4"> </span> <span class="blank _4"> </span>de</div><div class="t m0 x4 h4 yc ff3 fs1 fc1 sc0 ls3 ws8">forma matricial que bajo un diagrama de árbol.<span class="blank _9"> </span>(</div><div class="t m0 x4 h4 yd ff3 fs1 fc1 sc0 ls3">)</div><div class="t m0 x2 h3 ye ff2 fs1 fc1 sc0 ls3 ws0">Resuelva</div><div class="t m0 x3 h4 yf ff3 fs1 fc1 sc0 ls3 ws8">6.<span class="blank _0"> </span>Considere el siguiente juego en su forma estratégica:</div><div class="c x5 y10 w2 h5"><div class="t m0 x6 h6 y11 ff4 fs2 fc1 sc0 ls0">J<span class="ff5 ls3">2</span></div></div><div class="c x7 y12 w3 h7"><div class="t m0 x6 h6 y11 ff4 fs2 fc1 sc0 ls3">M</div></div><div class="c x8 y12 w4 h7"><div class="t m0 x6 h6 y11 ff4 fs2 fc1 sc0 ls3">N</div></div><div class="c x9 y12 w5 h7"><div class="t m0 x6 h6 y11 ff4 fs2 fc1 sc0 ls3">O</div></div><div class="c xa y12 w6 h7"><div class="t m1 x6 h6 y11 ff4 fs2 fc1 sc0 ls3">P</div></div><div class="c x1 y13 w7 h5"><div class="t m0 x6 h6 y11 ff4 fs2 fc1 sc0 ls0">J<span class="ff5 ls3">1</span></div></div><div class="c xb y14 w8 h7"><div class="t m0 x6 h6 y11 ff4 fs2 fc1 sc0 ls3">A</div></div><div class="c xc y14 w9 h7"><div class="t m0 x6 h8 y11 ff5 fs2 fc1 sc0 ls3">5,3</div></div><div class="c xd y14 wa h7"><div class="t m0 x6 h8 y11 ff5 fs2 fc1 sc0 ls3">7,1</div></div><div class="c xe y14 wb h7"><div class="t m0 x6 h8 y11 ff5 fs2 fc1 sc0 ls3">1,4</div></div><div class="c xf y14 wc h7"><div class="t m1 x6 h8 y11 ff5 fs2 fc1 sc0 ls3 ws1">0,4</div></div><div class="c xb y15 wd h5"><div class="t m1 x6 h6 y11 ff4 fs2 fc1 sc0 ls3">B</div></div><div class="c xc y15 we h5"><div class="t m0 x6 h8 y11 ff5 fs2 fc1 sc0 ls3">6,3</div></div><div class="c xd y15 wf h5"><div class="t m0 x6 h8 y11 ff5 fs2 fc1 sc0 ls3">4,0</div></div><div class="c xe y15 w9 h5"><div class="t m0 x6 h8 y11 ff5 fs2 fc1 sc0 ls3">1,3</div></div><div class="c xf y15 w10 h5"><div class="t m2 x6 h6 y11 ff5 fs2 fc1 sc0 ls3 ws2">1,<span class="blank"> </span><span class="ff4">d</span></div></div><div class="c xb y16 w11 h7"><div class="t m0 x6 h6 y11 ff4 fs2 fc1 sc0 ls3">C</div></div><div class="c x10 y16 w12 h7"><div class="t m0 x6 h6 y11 ff4 fs2 fc1 sc0 ls1 ws3">a,b<span class="blank _a"></span></div></div><div class="c xd y16 w9 h7"><div class="t m0 x6 h8 y11 ff5 fs2 fc1 sc0 ls3">7,3</div></div><div class="c xe y16 wa h7"><div class="t m0 x6 h8 y11 ff5 fs2 fc1 sc0 ls3">2,1</div></div><div class="c xf y16 w13 h7"><div class="t m0 x6 h8 y11 ff5 fs2 fc1 sc0 ls3 ws4">1,<span class="blank"> </span>3</div></div><div class="c xb y17 w4 h5"><div class="t m0 x6 h6 y11 ff4 fs2 fc1 sc0 ls3">D</div></div><div class="c xc y17 w9 h5"><div class="t m0 x6 h8 y11 ff5 fs2 fc1 sc0 ls3">5,3</div></div><div class="c xd y17 wb h5"><div class="t m1 x6 h8 y11 ff5 fs2 fc1 sc0 ls3 ws1">4,2</div></div><div class="c xe y17 w9 h5"><div class="t m0 x6 h8 y11 ff5 fs2 fc1 sc0 ls3">1,5</div></div><div class="c xf y17 w9 h5"><div class="t m0 x6 h8 y11 ff5 fs2 fc1 sc0 ls3">1,5</div></div><div class="t m0 x4 h4 y18 ff3 fs1 fc1 sc0 ls3 ws8">Donde se tiene la siguiente información:</div><div class="t m0 x4 h4 y19 ff3 fs1 fc1 sc0 ls3 ws8">La estrategia </div><div class="c x11 y1a w11 h7"><div class="t m0 x6 h6 y11 ff4 fs2 fc1 sc0 ls3">C</div></div><div class="t m0 x12 h4 y19 ff3 fs1 fc1 sc0 ls3 ws8"> domina débilmente a la estrategia </div><div class="c xe y1a w8 h7"><div class="t m0 x6 h6 y11 ff4 fs2 fc1 sc0 ls3">A</div></div><div class="t m0 x13 h4 y19 ff3 fs1 fc1 sc0 ls3 ws8"> y a la estrategia </div><div class="c x14 y1a w4 h7"><div class="t m0 x6 h6 y11 ff4 fs2 fc1 sc0 ls3">D</div></div><div class="t m0 x15 h4 y19 ff3 fs1 fc1 sc0 ls3 ws8"> del mismo jugador.</div><div class="t m0 x4 h4 y1b ff3 fs1 fc1 sc0 ls3 ws8">La<span class="blank _1"> </span> estrategia<span class="blank _4"> </span> </div><div class="c x16 y1c w3 h5"><div class="t m0 x6 h6 y11 ff4 fs2 fc1 sc0 ls3">M</div></div><div class="t m0 x17 h4 y1b ff3 fs1 fc1 sc0 ls3 ws8"> <span class="blank _1"> </span>domina<span class="blank _1"> </span> <span class="blank _1"> </span>débilmente <span class="blank _1"> </span>a<span class="blank _1"> </span> la<span class="blank _1"> </span> <span class="blank _1"> </span>estrategia<span class="blank _1"> </span> </div><div class="c x18 y1c w4 h5"><div class="t m2 x6 h6 y11 ff4 fs2 fc1 sc0 ls3">N</div></div><div class="t m0 x19 h4 y1b ff3 fs1 fc1 sc0 ls3 ws8">,<span class="blank _1"> </span> pero<span class="blank _1"> </span> <span class="blank _1"> </span>es <span class="blank _1"> </span>dominada<span class="blank _1"> </span> débilmente<span class="blank _1"> </span> <span class="blank _1"> </span>por<span class="blank _1"> </span> la</div><div class="t m0 x4 h4 y1d ff3 fs1 fc1 sc0 ls3 ws8">estrategia </div><div class="c x1a y1e w6 h5"><div class="t m1 x6 h6 y11 ff4 fs2 fc1 sc0 ls3">P</div></div><div class="t m0 x1b h4 y1d ff3 fs1 fc1 sc0 ls3 ws8"> del mismo jugador</div><div class="t m0 x3 h4 y1f ff3 fs1 fc1 sc0 ls3 ws8">a.<span class="blank _b"> </span>¿Para <span class="blank _1"> </span>qué <span class="blank _1"> </span>valores <span class="blank _1"> </span>de<span class="blank _1"> </span> </div><div class="c x1c y20 w12 h5"><div class="t m2 x6 h6 y11 ff4 fs2 fc1 sc0 ls3 ws5">a<span class="blank"> </span>,<span class="blank"> </span>b</div></div><div class="t m0 x1d h4 y1f ff3 fs1 fc1 sc0 ls3 ws8"> <span class="blank _1"> </span>y<span class="blank _1"> </span> </div><div class="c x1e y20 w14 h5"><div class="t m3 x6 h6 y11 ff4 fs2 fc1 sc0 ls3">d</div></div><div class="t m0 x1f h4 y1f ff3 fs1 fc1 sc0 ls3 ws8"> <span class="blank _1"> </span>el<span class="blank _1"> </span> perfil <span class="blank _1"> </span>de<span class="blank _1"> </span> estrategias<span class="blank _1"> </span> </div><div class="c x20 y21 w15 h9"><div class="t m4 x6 ha y22 ff6 fs3 fc1 sc0 ls3">(</div><div class="t m0 x21 h6 y22 ff4 fs2 fc1 sc0 ls3 ws6">C<span class="blank"> </span>,<span class="blank _c"> </span>M</div><div class="t m4 x22 ha y22 ff6 fs3 fc1 sc0 ls3">)</div></div><div class="t m0 x23 h4 y1f ff3 fs1 fc1 sc0 ls3 ws8"> <span class="blank _1"> </span>no <span class="blank _1"> </span>constituye <span class="blank _1"> </span>un <span class="blank _1"> </span>equilibrio <span class="blank _1"> </span>de</div><div class="t m0 x4 h4 y23 ff3 fs1 fc1 sc0 ls3 ws8">Nash? ¿Es esto posible? Explique.<span class="blank _d"> </span>(2 puntos)</div><div class="t m0 x3 h4 y24 ff3 fs1 fc1 sc0 ls3 ws8">b.<span class="blank _0"> </span>¿Para <span class="blank _1"> </span>qué <span class="blank _1"> </span>valores <span class="blank _1"> </span>de</div><div class="c x24 y25 w16 h5"><div class="t m0 x6 h6 y11 ff4 fs2 fc1 sc0 ls3 ws7">a<span class="blank"> </span>,<span class="blank"> </span>b</div></div><div class="t m0 x25 h4 y24 ff3 fs1 fc1 sc0 ls3 ws8"> <span class="blank _1"> </span>y<span class="blank _1"> </span> </div><div class="c x26 y25 w17 h5"><div class="t m5 x6 h6 y11 ff4 fs2 fc1 sc0 ls3">d</div></div><div class="t m0 x27 h4 y24 ff3 fs1 fc1 sc0 ls3 ws8">el <span class="blank _1"> </span>perfil <span class="blank _1"> </span>de <span class="blank _1"> </span>estrategias </div><div class="c x18 y26 w18 h9"><div class="t m4 x6 ha y22 ff6 fs3 fc1 sc0 ls3">(</div><div class="t m0 x21 h6 y22 ff4 fs2 fc1 sc0 ls3 ws7">B<span class="blank"> </span>,<span class="blank"> </span>P</div><div class="t m4 x28 ha y22 ff6 fs3 fc1 sc0 ls3">)</div></div><div class="t m0 x29 h4 y24 ff3 fs1 fc1 sc0 ls3 ws8"> <span class="blank _1"> </span>no <span class="blank _1"> </span>constituye <span class="blank _1"> </span>el úni<span class="blank _1"> </span>co equilibrio</div><div class="t m0 x4 h4 y27 ff3 fs1 fc1 sc0 ls3 ws8">de Nash? ¿Es esto posible? Explique.<span class="blank _e"> </span>(3 puntos)</div><div class="t m0 x3 h4 y28 ff3 fs1 fc1 sc0 ls3 ws8">7.<span class="blank _0"> </span>Considere el siguiente juego en su forma estratégica</div><div class="c x2a y29 w19 hb"><div class="t m2 x6 h6 y2a ff4 fs2 fc1 sc0 ls3">J</div><div class="t m6 x2b hc y2b ff5 fs4 fc1 sc0 ls3">2</div></div><div class="c x2c y2c w1a h5"><div class="t m7 x6 h6 y11 ff4 fs2 fc1 sc0 ls3">I</div></div><div class="c x2d y2c w4 h5"><div class="t m0 x6 h6 y11 ff4 fs2 fc1 sc0 ls3">D</div></div><div class="c x2e y2d w19 hd"><div class="t m0 x6 h6 y2a ff4 fs2 fc1 sc0 ls2">J<span class="ff5 fs4 ls3 v1">1</span></div></div><div class="c x2f y2e w8 h7"><div class="t m0 x6 h6 y11 ff4 fs2 fc1 sc0 ls3">A</div></div><div class="c xd y2e w1b h7"><div class="t m0 x6 h8 y11 ff5 fs2 fc1 sc0 ls3">10,1</div></div><div class="c x13 y2e wc h7"><div class="t m1 x6 h8 y11 ff5 fs2 fc1 sc0 ls3 ws1">0,4</div></div><div class="c x30 y2f w3 h7"><div class="t m0 x6 h6 y11 ff4 fs2 fc1 sc0 ls3">M</div></div><div class="c x8 y2f wb h7"><div class="t m1 x6 h8 y11 ff5 fs2 fc1 sc0 ls3 ws1">4,2</div></div><div class="c x13 y2f wf h7"><div class="t m0 x6 h8 y11 ff5 fs2 fc1 sc0 ls3">4,3</div></div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf2" class="pf w0 h0" data-page-no="2"><div class="pc pc2 w0 h0"><img class="bi x31 y30 w1c he" alt="" src="https://files.passeidireto.com/9db0b056-6773-412e-a0c8-5693d378d40f/bg2.png"><div class="c x2f y31 w4 h7"><div class="t m0 x6 h6 y11 ff4 fs2 fc1 sc0 ls3">N</div></div><div class="c x8 y31 we h7"><div class="t m0 x6 h8 y11 ff5 fs2 fc1 sc0 ls3">0,5</div></div><div class="c x32 y31 w1b h7"><div class="t m0 x6 h8 y11 ff5 fs2 fc1 sc0 ls3">10,2</div></div><div class="t m0 x4 h4 y32 ff3 fs1 fc1 sc0 ls3 ws8">Calcule el equilibrio de Nash en estrategias mixtas<span class="blank _f"> </span>(5 puntos)</div><div class="t m0 x3 h4 y33 ff3 fs1 fc1 sc0 ls3 ws8">8.<span class="blank _0"> </span>Juego<span class="blank _1"> </span> <span class="blank _1"> </span>de<span class="blank _4"> </span> <span class="blank _1"> </span>votación<span class="blank _1"> </span> <span class="blank _4"> </span>por<span class="blank _1"> </span> <span class="blank _1"> </span>mayoría:<span class="blank _4"> </span> <span class="blank _1"> </span>Toda<span class="blank _1"> </span> <span class="blank _4"> </span>votación<span class="blank _1"> </span> <span class="blank _1"> </span>simple<span class="blank _4"> </span> <span class="blank _1"> </span>puede<span class="blank _1"> </span> <span class="blank _1"> </span>interpretarse<span class="blank _4"> </span> <span class="blank _1"> </span>como<span class="blank _1"> </span> <span class="blank _4"> </span>un<span class="blank _1"> </span> <span class="blank _1"> </span>juego</div><div class="t m0 x4 h4 y34 ff3 fs1 fc1 sc0 ls3 ws8">estático cuyos jugadores <span class="blank _1"> </span>son los votantes, cuyas acciones <span class="blank _1"> </span>o estrategias se identifican con<span class="blank _1"> </span> las</div><div class="t m0 x4 h4 y35 ff3 fs1 fc1 sc0 ls3 ws8">posibles<span class="blank _1"> </span> <span class="blank _4"> </span>papeletas<span class="blank _1"> </span> <span class="blank _4"> </span>de<span class="blank _1"> </span> <span class="blank _1"> </span>voto<span class="blank _4"> </span> <span class="blank _1"> </span>que<span class="blank _4"> </span> <span class="blank _1"> </span>cualquier<span class="blank _1"> </span> <span class="blank _4"> </span>votante<span class="blank _1"> </span> <span class="blank _4"> </span>puede<span class="blank _1"> </span> <span class="blank _4"> </span>depositar,<span class="blank _1"> </span> <span class="blank _1"> </span>c<span class="blank _1"> </span>uyo<span class="blank _7"></span>s<span class="blank _1"> </span> <span class="blank _4"> </span>resultados<span class="blank _1"> </span> <span class="blank _4"> </span>hacen</div><div class="t m0 x4 h4 y36 ff3 fs1 fc1 sc0 ls3 ws8">referencia <span class="blank _1"> </span>a <span class="blank _1"> </span>las <span class="blank _1"> </span>alternativas <span class="blank _1"> </span>o <span class="blank _1"> </span>candidatos <span class="blank _1"> </span>que <span class="blank _1"> </span>pueden <span class="blank _1"> </span>resultar <span class="blank _1"> </span>elegidos, <span class="blank _1"> </span>y <span class="blank _1"> </span>cuyos<span class="blank _1"> </span> pagos <span class="blank _1"> </span>están</div><div class="t m0 x4 h4 y37 ff3 fs1 fc1 sc0 ls3 ws8">determinados<span class="blank _1"> </span> por<span class="blank _1"> </span> <span class="blank _1"> </span>las <span class="blank _1"> </span>preferencias<span class="blank _1"> </span> de<span class="blank _1"> </span> <span class="blank _1"> </span>los <span class="blank _1"> </span>votantes<span class="blank _1"> </span> hacia<span class="blank _1"> </span> <span class="blank _1"> </span>los <span class="blank _1"> </span>posibles<span class="blank _1"> </span> resultados.<span class="blank _1"> </span> <span class="blank _1"> </span>Asumamos</div><div class="t m0 x4 h4 y38 ff3 fs1 fc1 sc0 ls3 ws8">un<span class="blank _1"> </span> <span class="blank _4"> </span>comité<span class="blank _4"> </span> <span class="blank _1"> </span>de<span class="blank _4"> </span> <span class="blank _1"> </span>tres<span class="blank _1"> </span> <span class="blank _4"> </span>personas<span class="blank _1"> </span> <span class="blank _4"> </span>C1,<span class="blank _4"> </span> <span class="blank _1"> </span>C2<span class="blank _4"> </span> <span class="blank _1"> </span>y<span class="blank _4"> </span> <span class="blank _1"> </span>C3,<span class="blank _4"> </span> <span class="blank _1"> </span>encargado<span class="blank _4"> </span> <span class="blank _1"> </span>de<span class="blank _4"> </span> <span class="blank _1"> </span>seleccionar<span class="blank _4"> </span> <span class="blank _4"> </span>p<span class="blank _7"></span>ara<span class="blank _1"> </span> <span class="blank _4"> </span>un<span class="blank _1"> </span> <span class="blank _4"> </span>puesto<span class="blank _4"> </span> <span class="blank _1"> </span>a<span class="blank _4"> </span> <span class="blank _1"> </span>una</div><div class="t m0 x4 h4 y39 ff3 fs1 fc1 sc0 ls3 ws8">persona,<span class="blank _c"> </span> <span class="blank"> </span>de<span class="blank _c"> </span> <span class="blank"> </span>entre<span class="blank _c"> </span> <span class="blank"> </span>tres<span class="blank _c"> </span> <span class="blank"> </span>candidatos<span class="blank _10"> </span> <span class="blank _1"> </span><span class="ff7 ws0">A</span>,<span class="blank _10"> </span> <span class="ff7 ws0">B</span> <span class="blank _10"> </span>y<span class="blank _10"> </span> <span class="ff7 ws0">C</span>,<span class="blank"> </span> <span class="blank"> </span>median<span class="blank _7"></span>te<span class="blank"> </span> <span class="blank _c"> </span>votación.<span class="blank"> </span> <span class="blank _c"> </span>Para<span class="blank"> </span> <span class="blank _c"> </span>especificar</div><div class="t m0 x4 h4 y3a ff3 fs1 fc1 sc0 ls3 ws8">completamente las reglas del juego, supongamos:</div><div class="t m0 x4 h4 y3b ff8 fs1 fc1 sc0 ls4">\uf0b7<span class="ff3 ls3 ws8">Que<span class="blank _4"> </span> <span class="blank _4"> </span>se<span class="blank _5"> </span> <span class="blank _4"> </span>vota<span class="blank _4"> </span> <span class="blank _5"> </span>escribiendo<span class="blank _4"> </span> <span class="blank _4"> </span>una<span class="blank _5"> </span> <span class="blank _4"> </span>papeleta<span class="blank _4"> </span> <span class="blank _5"> </span>con<span class="blank _4"> </span> <span class="blank _4"> </span>un<span class="blank _5"> </span> <span class="blank _4"> </span>solo<span class="blank _5"> </span> <span class="blank _4"> </span>nombre,<span class="blank _4"> </span> <span class="blank _4"> </span>y<span class="blank _5"> </span> <span class="blank _4"> </span>no<span class="blank _4"> </span> <span class="blank _5"> </span>se<span class="blank _4"> </span> <span class="blank _5"> </span>puede<span class="blank _4"> </span> <span class="blank _4"> </span>votar<span class="blank _5"> </span> <span class="blank _4"> </span>en</span></div><div class="t m0 x33 h4 y3c ff3 fs1 fc1 sc0 ls3 ws0">blanco.</div><div class="t m0 x4 h4 y3d ff8 fs1 fc1 sc0 ls4">\uf0b7<span class="ff3 ls3 ws8">Que<span class="blank _1"> </span> gana<span class="blank _1"> </span> el<span class="blank _1"> </span> candidato<span class="blank _1"> </span> <span class="blank _1"> </span>que <span class="blank _1"> </span>obtenga <span class="blank _1"> </span>una <span class="blank _1"> </span>mayoría <span class="blank _1"> </span>de<span class="blank _1"> </span> los<span class="blank _1"> </span> votos,<span class="blank _1"> </span> <span class="blank _1"> </span>y <span class="blank _1"> </span>que <span class="blank _1"> </span>en <span class="blank _1"> </span>caso <span class="blank _1"> </span>de <span class="blank _1"> </span>empate</span></div><div class="t m0 x33 h4 y3e ff3 fs1 fc1 sc0 ls3 ws8">decide el voto del presidente C1.</div><div class="t m0 x4 h4 y3f ff3 fs1 fc1 sc0 ls3 ws8">Así pues, los posibles resultados del juego son A, B y C.</div><div class="t m0 x4 h4 y40 ff3 fs1 fc1 sc0 ls3 ws8">Supongamos también que las preferencias de los votantes son:</div><div class="t m0 x4 h4 y41 ff8 fs1 fc1 sc0 ls4">\uf0b7<span class="ff3 ls3 ws8">Votante C1: <span class="ff7">A > B > C</span> (donde > significa \u201ces estrictamente preferido a\u201d)</span></div><div class="t m0 x4 h4 y42 ff8 fs1 fc1 sc0 ls4">\uf0b7<span class="ff3 ls3 ws8">Votante C2: <span class="ff7">B > C > A</span></span></div><div class="t m0 x4 h4 y43 ff8 fs1 fc1 sc0 ls4">\uf0b7<span class="ff3 ls3 ws8">Votante C3: <span class="ff7">C > A > B</span></span></div><div class="t m0 x4 h4 y44 ff3 fs1 fc1 sc0 ls3 ws8">Lo que traducimos a las siguientes funciones de ganancias:</div><div class="c x2 y45 w1d hf"><div class="t m2 x6 h6 y2a ff4 fs2 fc1 sc0 ls3">u</div><div class="t m6 x2b hc y2b ff5 fs4 fc1 sc0 ls3">1</div><div class="t m8 x34 h10 y2a ff6 fs5 fc1 sc0 ls3">(</div><div class="t m2 x35 h6 y2a ff4 fs2 fc1 sc0 ls3">A</div><div class="t m8 x36 h10 y2a ff6 fs5 fc1 sc0 ls3">)</div><div class="t m2 x28 h11 y2a ff6 fs2 fc1 sc0 ls5">=<span class="ff4 ls3">u</span></div><div class="t m6 x37 hc y2b ff5 fs4 fc1 sc0 ls3">2</div><div class="t m8 x38 h10 y2a ff6 fs5 fc1 sc0 ls3">(</div><div class="t m2 x39 h6 y2a ff4 fs2 fc1 sc0 ls3">B</div><div class="t m8 x3a h10 y2a ff6 fs5 fc1 sc0 ls3">)</div><div class="t m2 x3b h11 y2a ff6 fs2 fc1 sc0 ls5">=<span class="ff4 ls3">u</span></div><div class="t m6 x3c hc y2b ff5 fs4 fc1 sc0 ls3">3</div><div class="t m8 x3d h10 y2a ff6 fs5 fc1 sc0 ls3">(</div><div class="t m2 x2 h6 y2a ff4 fs2 fc1 sc0 ls3">C</div><div class="t m8 x3e h10 y2a ff6 fs5 fc1 sc0 ls3">)</div><div class="t m2 x3f h11 y2a ff6 fs2 fc1 sc0 ls5">=<span class="ff5 ls3">7</span></div></div><div class="c x2 y46 w1e hf"><div class="t m2 x6 h6 y47 ff4 fs2 fc1 sc0 ls3">u</div><div class="t m6 x2b hc y48 ff5 fs4 fc1 sc0 ls3">1</div><div class="t m9 x34 h10 y47 ff6 fs5 fc1 sc0 ls3">(</div><div class="t m2 x35 h6 y47 ff4 fs2 fc1 sc0 ls3">B</div><div class="t m9 x36 h10 y47 ff6 fs5 fc1 sc0 ls3">)</div><div class="t m2 x28 h11 y47 ff6 fs2 fc1 sc0 ls6">=<span class="ff4 ls3">u</span></div><div class="t m6 x40 hc y48 ff5 fs4 fc1 sc0 ls3">2</div><div class="t m9 x38 h10 y47 ff6 fs5 fc1 sc0 ls3">(</div><div class="t m2 x41 h6 y47 ff4 fs2 fc1 sc0 ls3">C</div><div class="t m9 x3a h10 y47 ff6 fs5 fc1 sc0 ls3">)</div><div class="t m2 x3b h11 y47 ff6 fs2 fc1 sc0 ls6">=<span class="ff4 ls3">u</span></div><div class="t m6 x3c hc y48 ff5 fs4 fc1 sc0 ls3">3</div><div class="t m9 x3d h10 y47 ff6 fs5 fc1 sc0 ls3">(</div><div class="t m2 x42 h6 y47 ff4 fs2 fc1 sc0 ls3">A</div><div class="t m9 x3e h10 y47 ff6 fs5 fc1 sc0 ls3">)</div><div class="t m2 x3f h11 y47 ff6 fs2 fc1 sc0 ls6">=<span class="ff5 ls3">4</span></div></div><div class="c x2 y49 w1d hf"><div class="t m2 x6 h6 y2a ff4 fs2 fc1 sc0 ls3">u</div><div class="t m6 x2b hc y2b ff5 fs4 fc1 sc0 ls3">1</div><div class="t m9 x34 h10 y2a ff6 fs5 fc1 sc0 ls3">(</div><div class="t m2 x35 h6 y2a ff4 fs2 fc1 sc0 ls3">C</div><div class="t m9 x36 h10 y2a ff6 fs5 fc1 sc0 ls3">)</div><div class="t m2 x28 h11 y2a ff6 fs2 fc1 sc0 ls5">=<span class="ff4 ls3">u</span></div><div class="t m6 x40 hc y2b ff5 fs4 fc1 sc0 ls3">2</div><div class="t m9 x38 h10 y2a ff6 fs5 fc1 sc0 ls3">(</div><div class="t m2 x39 h6 y2a ff4 fs2 fc1 sc0 ls3">A</div><div class="t m9 x3a h10 y2a ff6 fs5 fc1 sc0 ls3">)</div><div class="t m2 x3b h11 y2a ff6 fs2 fc1 sc0 ls5">=<span class="ff4 ls3">u</span></div><div class="t m6 x3c hc y2b ff5 fs4 fc1 sc0 ls3">3</div><div class="t m9 x3d h10 y2a ff6 fs5 fc1 sc0 ls3">(</div><div class="t m2 x42 h6 y2a ff4 fs2 fc1 sc0 ls3">B</div><div class="t m9 x3e h10 y2a ff6 fs5 fc1 sc0 ls3">)</div><div class="t m2 x3f h11 y2a ff6 fs2 fc1 sc0 ls6">=<span class="ff5 ls3">0</span></div></div><div class="t m0 x4 h4 y1e ff3 fs1 fc1 sc0 ls3 ws8">Represente el juego en su forma normal o estratégica.<span class="blank _11"> </span>(5 puntos)</div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div>
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