Publications

Reinforcement learning in professional basketball players

Reinforcement learning in complex natural environments is a challenging task because the agent should generalize from the outcomes of actions taken in one state of the world to future actions in different states of the world. The extent to which human experts find the proper level of generalization is unclear. Here we show, using the sequences of field goal attempts made by professional basketball players, that the outcome of even a single field goal attempt has a considerable effect on the rate of subsequent 3 point shot attempts, in line with standard models of reinforcement learning. However, this change in behaviour is associated with negative correlations between the outcomes of successive field goal attempts. These results indicate that despite years of experience and high motivation, professional players overgeneralize from the outcomes of their most recent actions, which leads to decreased performance.

Authors: Tal Neiman, Yonatan Loewenstein
Year of publication: 2011
Journal: Nature Communications volume 2, Article number: 569

Link to publication:

Labs:

You can use the keyboard arrows to navigate between the component buttons
",e=e.removeChild(e.firstChild)):"string"==typeof o.is?e=l.createElement(a,{is:o.is}):(e=l.createElement(a),"select"===a&&(l=e,o.multiple?l.multiple=!0:o.size&&(l.size=o.size))):e=l.createElementNS(e,a),e[Ni]=t,e[Pi]=o,Pl(e,t,!1,!1),t.stateNode=e,l=Ae(a,o),a){case"iframe":case"object":case"embed":Te("load",e),u=o;break;case"video":case"audio":for(u=0;u<$a.length;u++)Te($a[u],e);u=o;break;case"source":Te("error",e),u=o;break;case"img":case"image":case"link":Te("error",e),Te("load",e),u=o;break;case"form":Te("reset",e),Te("submit",e),u=o;break;case"details":Te("toggle",e),u=o;break;case"input":A(e,o),u=M(e,o),Te("invalid",e),Ie(n,"onChange");break;case"option":u=B(e,o);break;case"select":e._wrapperState={wasMultiple:!!o.multiple},u=Uo({},o,{value:void 0}),Te("invalid",e),Ie(n,"onChange");break;case"textarea":V(e,o),u=H(e,o),Te("invalid",e),Ie(n,"onChange");break;default:u=o}Me(a,u);var s=u;for(i in s)if(s.hasOwnProperty(i)){var c=s[i];"style"===i?ze(e,c):"dangerouslySetInnerHTML"===i?(c=c?c.__html:void 0,null!=c&&Aa(e,c)):"children"===i?"string"==typeof c?("textarea"!==a||""!==c)&&X(e,c):"number"==typeof c&&X(e,""+c):"suppressContentEditableWarning"!==i&&"suppressHydrationWarning"!==i&&"autoFocus"!==i&&(ea.hasOwnProperty(i)?null!=c&&Ie(n,i):null!=c&&x(e,i,c,l))}switch(a){case"input":L(e),j(e,o,!1);break;case"textarea":L(e),$(e);break;case"option":null!=o.value&&e.setAttribute("value",""+P(o.value));break;case"select":e.multiple=!!o.multiple,n=o.value,null!=n?q(e,!!o.multiple,n,!1):null!=o.defaultValue&&q(e,!!o.multiple,o.defaultValue,!0);break;default:"function"==typeof u.onClick&&(e.onclick=Fe)}Ve(a,o)&&(t.effectTag|=4)}null!==t.ref&&(t.effectTag|=128)}return null;case 6:if(e&&null!=t.stateNode)Ll(e,t,e.memoizedProps,o);else{if("string"!=typeof o&&null===t.stateNode)throw Error(r(166));n=yn(yu.current),yn(bu.current),Jn(t)?(n=t.stateNode,o=t.memoizedProps,n[Ni]=t,n.nodeValue!==o&&(t.effectTag|=4)):(n=(9===n.nodeType?n:n.ownerDocument).createTextNode(o),n[Ni]=t,t.stateNode=n)}return null;case 13:return zt(vu),o=t.memoizedState,0!==(64&t.effectTag)?(t.expirationTime=n,t):(n=null!==o,o=!1,null===e?void 0!==t.memoizedProps.fallback&&Jn(t):(a=e.memoizedState,o=null!==a,n||null===a||(a=e.child.sibling,null!==a&&(i=t.firstEffect,null!==i?(t.firstEffect=a,a.nextEffect=i):(t.firstEffect=t.lastEffect=a,a.nextEffect=null),a.effectTag=8))),n&&!o&&0!==(2&t.mode)&&(null===e&&!0!==t.memoizedProps.unstable_avoidThisFallback||0!==(1&vu.current)?rs===Qu&&(rs=Yu):(rs!==Qu&&rs!==Yu||(rs=Gu),0!==us&&null!==es&&(To(es,ns),Co(es,us)))),(n||o)&&(t.effectTag|=4),null);case 4:return wn(),Ol(t),null;case 10:return Zt(t),null;case 17:return It(t.type)&&Ft(),null;case 19:if(zt(vu),o=t.memoizedState,null===o)return null;if(a=0!==(64&t.effectTag),i=o.rendering,null===i){if(a)mr(o,!1);else if(rs!==Qu||null!==e&&0!==(64&e.effectTag))for(i=t.child;null!==i;){if(e=_n(i),null!==e){for(t.effectTag|=64,mr(o,!1),a=e.updateQueue,null!==a&&(t.updateQueue=a,t.effectTag|=4),null===o.lastEffect&&(t.firstEffect=null),t.lastEffect=o.lastEffect,o=t.child;null!==o;)a=o,i=n,a.effectTag&=2,a.nextEffect=null,a.firstEffect=null,a.lastEffect=null,e=a.alternate,null===e?(a.childExpirationTime=0,a.expirationTime=i,a.child=null,a.memoizedProps=null,a.memoizedState=null,a.updateQueue=null,a.dependencies=null):(a.childExpirationTime=e.childExpirationTime,a.expirationTime=e.expirationTime,a.child=e.child,a.memoizedProps=e.memoizedProps,a.memoizedState=e.memoizedState,a.updateQueue=e.updateQueue,i=e.dependencies,a.dependencies=null===i?null:{expirationTime:i.expirationTime,firstContext:i.firstContext,responders:i.responders}),o=o.sibling;return Mt(vu,1&vu.current|2),t.child}i=i.sibling}}else{if(!a)if(e=_n(i),null!==e){if(t.effectTag|=64,a=!0,n=e.updateQueue,null!==n&&(t.updateQueue=n,t.effectTag|=4),mr(o,!0),null===o.tail&&"hidden"===o.tailMode&&!i.alternate)return t=t.lastEffect=o.lastEffect,null!==t&&(t.nextEffect=null),null}else 2*ru()-o.renderingStartTime>o.tailExpiration&&1t)&&vs.set(e,t)))}}function Ur(e,t){e.expirationTimee?n:e,2>=e&&t!==e?0:e}function qr(e){if(0!==e.lastExpiredTime)e.callbackExpirationTime=1073741823,e.callbackPriority=99,e.callbackNode=$t(Vr.bind(null,e));else{var t=Br(e),n=e.callbackNode;if(0===t)null!==n&&(e.callbackNode=null,e.callbackExpirationTime=0,e.callbackPriority=90);else{var r=Fr();if(1073741823===t?r=99:1===t||2===t?r=95:(r=10*(1073741821-t)-10*(1073741821-r),r=0>=r?99:250>=r?98:5250>=r?97:95),null!==n){var o=e.callbackPriority;if(e.callbackExpirationTime===t&&o>=r)return;n!==Yl&&Bl(n)}e.callbackExpirationTime=t,e.callbackPriority=r,t=1073741823===t?$t(Vr.bind(null,e)):Wt(r,Hr.bind(null,e),{timeout:10*(1073741821-t)-ru()}),e.callbackNode=t}}}function Hr(e,t){if(ks=0,t)return t=Fr(),No(e,t),qr(e),null;var n=Br(e);if(0!==n){if(t=e.callbackNode,(Ju&(Wu|$u))!==Hu)throw Error(r(327));if(lo(),e===es&&n===ns||Kr(e,n),null!==ts){var o=Ju;Ju|=Wu;for(var a=Yr();;)try{eo();break}catch(t){Xr(e,t)}if(Gt(),Ju=o,Bu.current=a,rs===Ku)throw t=os,Kr(e,n),To(e,n),qr(e),t;if(null===ts)switch(a=e.finishedWork=e.current.alternate,e.finishedExpirationTime=n,o=rs,es=null,o){case Qu:case Ku:throw Error(r(345));case Xu:No(e,2=n){e.lastPingedTime=n,Kr(e,n);break}}if(i=Br(e),0!==i&&i!==n)break;if(0!==o&&o!==n){e.lastPingedTime=o;break}e.timeoutHandle=Si(oo.bind(null,e),a);break}oo(e);break;case Gu:if(To(e,n),o=e.lastSuspendedTime,n===o&&(e.nextKnownPendingLevel=ro(a)),ss&&(a=e.lastPingedTime,0===a||a>=n)){e.lastPingedTime=n,Kr(e,n);break}if(a=Br(e),0!==a&&a!==n)break;if(0!==o&&o!==n){e.lastPingedTime=o;break}if(1073741823!==is?o=10*(1073741821-is)-ru():1073741823===as?o=0:(o=10*(1073741821-as)-5e3,a=ru(),n=10*(1073741821-n)-a,o=a-o,0>o&&(o=0),o=(120>o?120:480>o?480:1080>o?1080:1920>o?1920:3e3>o?3e3:4320>o?4320:1960*Uu(o/1960))-o,n=o?o=0:(a=0|l.busyDelayMs,i=ru()-(10*(1073741821-i)-(0|l.timeoutMs||5e3)),o=i<=a?0:a+o-i),10 component higher in the tree to provide a loading indicator or placeholder to display."+N(i))}rs!==Zu&&(rs=Xu),l=yr(l,i),f=a;do{switch(f.tag){case 3:u=l,f.effectTag|=4096,f.expirationTime=t;var w=Ar(f,u,t);ln(f,w); break e;case 1:u=l;var E=f.type,k=f.stateNode;if(0===(64&f.effectTag)&&("function"==typeof E.getDerivedStateFromError||null!==k&&"function"==typeof k.componentDidCatch&&(null===ms||!ms.has(k)))){f.effectTag|=4096,f.expirationTime=t;var _=Ir(f,u,t);ln(f,_);break e}}f=f.return}while(null!==f)}ts=no(ts)}catch(e){t=e;continue}break}}function Yr(){var e=Bu.current;return Bu.current=Cu,null===e?Cu:e}function Gr(e,t){eus&&(us=e)}function Jr(){for(;null!==ts;)ts=to(ts)}function eo(){for(;null!==ts&&!Gl();)ts=to(ts)}function to(e){var t=Fu(e.alternate,e,ns);return e.memoizedProps=e.pendingProps,null===t&&(t=no(e)),qu.current=null,t}function no(e){ts=e;do{var t=ts.alternate;if(e=ts.return,0===(2048&ts.effectTag)){if(t=br(t,ts,ns),1===ns||1!==ts.childExpirationTime){for(var n=0,r=ts.child;null!==r;){var o=r.expirationTime,a=r.childExpirationTime;o>n&&(n=o),a>n&&(n=a),r=r.sibling}ts.childExpirationTime=n}if(null!==t)return t;null!==e&&0===(2048&e.effectTag)&&(null===e.firstEffect&&(e.firstEffect=ts.firstEffect),null!==ts.lastEffect&&(null!==e.lastEffect&&(e.lastEffect.nextEffect=ts.firstEffect),e.lastEffect=ts.lastEffect),1e?t:e}function oo(e){var t=qt();return Vt(99,ao.bind(null,e,t)),null}function ao(e,t){do lo();while(null!==gs);if((Ju&(Wu|$u))!==Hu)throw Error(r(327));var n=e.finishedWork,o=e.finishedExpirationTime;if(null===n)return null;if(e.finishedWork=null,e.finishedExpirationTime=0,n===e.current)throw Error(r(177));e.callbackNode=null,e.callbackExpirationTime=0,e.callbackPriority=90,e.nextKnownPendingLevel=0;var a=ro(n);if(e.firstPendingTime=a,o<=e.lastSuspendedTime?e.firstSuspendedTime=e.lastSuspendedTime=e.nextKnownPendingLevel=0:o<=e.firstSuspendedTime&&(e.firstSuspendedTime=o-1),o<=e.lastPingedTime&&(e.lastPingedTime=0),o<=e.lastExpiredTime&&(e.lastExpiredTime=0),e===es&&(ts=es=null,ns=0),1u&&(c=u,u=l,l=c),c=Ue(w,l),f=Ue(w,u),c&&f&&(1!==k.rangeCount||k.anchorNode!==c.node||k.anchorOffset!==c.offset||k.focusNode!==f.node||k.focusOffset!==f.offset)&&(E=E.createRange(),E.setStart(c.node,c.offset),k.removeAllRanges(),l>u?(k.addRange(E),k.extend(f.node,f.offset)):(E.setEnd(f.node,f.offset),k.addRange(E)))))),E=[];for(k=w;k=k.parentNode;)1===k.nodeType&&E.push({element:k,left:k.scrollLeft,top:k.scrollTop});for("function"==typeof w.focus&&w.focus(),w=0;w=t&&e<=t}function To(e,t){var n=e.firstSuspendedTime,r=e.lastSuspendedTime;nt||0===n)&&(e.lastSuspendedTime=t),t<=e.lastPingedTime&&(e.lastPingedTime=0),t<=e.lastExpiredTime&&(e.lastExpiredTime=0)}function Co(e,t){t>e.firstPendingTime&&(e.firstPendingTime=t);var n=e.firstSuspendedTime;0!==n&&(t>=n?e.firstSuspendedTime=e.lastSuspendedTime=e.nextKnownPendingLevel=0:t>=e.lastSuspendedTime&&(e.lastSuspendedTime=t+1),t>e.nextKnownPendingLevel&&(e.nextKnownPendingLevel=t))}function No(e,t){var n=e.lastExpiredTime;(0===n||n>t)&&(e.lastExpiredTime=t)}function Po(e,t,n,o){var a=t.current,i=Fr(),l=su.suspense;i=jr(i,a,l);e:if(n){n=n._reactInternalFiber;t:{if(J(n)!==n||1!==n.tag)throw Error(r(170));var u=n;do{switch(u.tag){case 3:u=u.stateNode.context;break t;case 1:if(It(u.type)){u=u.stateNode.__reactInternalMemoizedMergedChildContext;break t}}u=u.return}while(null!==u);throw Error(r(171))}if(1===n.tag){var s=n.type;if(It(s)){n=Dt(n,s,u);break e}}n=u}else n=Al;return null===t.context?t.context=n:t.pendingContext=n,t=on(i,l),t.payload={element:e},o=void 0===o?null:o,null!==o&&(t.callback=o),an(a,t),Dr(a,i),i}function Oo(e){if(e=e.current,!e.child)return null;switch(e.child.tag){case 5:return e.child.stateNode;default:return e.child.stateNode}}function Ro(e,t){e=e.memoizedState,null!==e&&null!==e.dehydrated&&e.retryTime