review classic 2p game tutorial section

Author: edwardchalstrey1

doc/tutorials/interoperability_tutorials/gamut.ipynb

@@ -89,34 +89,104 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 14,
    "id": "gamut-bos-eqm",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "[[[Rational(1, 1), Rational(0, 1)], [Rational(1, 1), Rational(0, 1)]],\n",
-       " [[Rational(20573508175615163, 50573508175615163), Rational(30000000000000000, 50573508175615163)], [Rational(30000000000000000, 50573508175615163), Rational(20573508175615163, 50573508175615163)]],\n",
-       " [[Rational(0, 1), Rational(1, 1)], [Rational(0, 1), Rational(1, 1)]]]"
+       "3"
       ]
      },
-     "execution_count": 5,
+     "execution_count": 14,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
     "result_bos = gbt.nash.lcp_solve(g_bos)\n",
-    "result_bos.equilibria\n"
+    "len(result_bos.equilibria)\n"
    ]
   },
   {
    "cell_type": "markdown",
    "id": "gamut-bos-interp",
    "metadata": {},
    "source": [
-    "As expected, the solver finds three equilibria: two pure-strategy equilibria (both play Opera, or both play Football) and one mixed-strategy equilibrium in which each player randomises between the two options.\n"
+    "As expected, the solver finds three equilibria: two pure-strategy equilibria (both play Opera, or both play Football) and one mixed-strategy equilibrium in which each player randomises between the two options:\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "id": "37294505",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/latex": [
+       "$\\left[\\left[1,0\\right],\\left[1,0\\right]\\right]$"
+      ],
+      "text/plain": [
+       "[[Rational(1, 1), Rational(0, 1)], [Rational(1, 1), Rational(0, 1)]]"
+      ]
+     },
+     "execution_count": 15,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "result_bos.equilibria[0]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 16,
+   "id": "293a5436",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/latex": [
+       "$\\left[\\left[\\frac{300000000000000000}{348292711498745977},\\frac{48292711498745977}{348292711498745977}\\right],\\left[\\frac{48292711498745977}{348292711498745977},\\frac{300000000000000000}{348292711498745977}\\right]\\right]$"
+      ],
+      "text/plain": [
+       "[[Rational(300000000000000000, 348292711498745977), Rational(48292711498745977, 348292711498745977)], [Rational(48292711498745977, 348292711498745977), Rational(300000000000000000, 348292711498745977)]]"
+      ]
+     },
+     "execution_count": 16,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "result_bos.equilibria[1]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 17,
+   "id": "d2e7a8e8",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/latex": [
+       "$\\left[\\left[0,1\\right],\\left[0,1\\right]\\right]$"
+      ],
+      "text/plain": [
+       "[[Rational(0, 1), Rational(1, 1)], [Rational(0, 1), Rational(1, 1)]]"
+      ]
+     },
+     "execution_count": 17,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "result_bos.equilibria[2]"
    ]
   },
   {