CINXE.COM

<!DOCTYPE html><html lang="en-US"><head><title>Just a moment...</title><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta http-equiv="X-UA-Compatible" content="IE=Edge"><meta name="robots" content="noindex,nofollow"><meta name="viewport" content="width=device-width,initial-scale=1"><style>*{box-sizing:border-box;margin:0;padding:0}html{line-height:1.15;-webkit-text-size-adjust:100%;color:#313131;font-family:system-ui,-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Helvetica Neue,Arial,Noto Sans,sans-serif,Apple Color Emoji,Segoe UI Emoji,Segoe UI Symbol,Noto Color Emoji}body{display:flex;flex-direction:column;height:100vh;min-height:100vh}.main-content{margin:8rem auto;max-width:60rem;padding-left:1.5rem}@media (width <= 720px){.main-content{margin-top:4rem}}.h2{font-size:1.5rem;font-weight:500;line-height:2.25rem}@media (width <= 720px){.h2{font-size:1.25rem;line-height:1.5rem}}#challenge-error-text{background-image:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIzMiIgaGVpZ2h0PSIzMiIgZmlsbD0ibm9uZSI+PHBhdGggZmlsbD0iI0IyMEYwMyIgZD0iTTE2IDNhMTMgMTMgMCAxIDAgMTMgMTNBMTMuMDE1IDEzLjAxNSAwIDAgMCAxNiAzbTAgMjRhMTEgMTEgMCAxIDEgMTEtMTEgMTEuMDEgMTEuMDEgMCAwIDEtMTEgMTEiLz48cGF0aCBmaWxsPSIjQjIwRjAzIiBkPSJNMTcuMDM4IDE4LjYxNUgxNC44N0wxNC41NjMgOS41aDIuNzgzem0tMS4wODQgMS40MjdxLjY2IDAgMS4wNTcuMzg4LjQwNy4zODkuNDA3Ljk5NCAwIC41OTYtLjQwNy45ODQtLjM5Ny4zOS0xLjA1Ny4zODktLjY1IDAtMS4wNTYtLjM4OS0uMzk4LS4zODktLjM5OC0uOTg0IDAtLjU5Ny4zOTgtLjk4NS40MDYtLjM5NyAxLjA1Ni0uMzk3Ii8+PC9zdmc+);background-repeat:no-repeat;background-size:contain;padding-left:34px}@media (prefers-color-scheme:dark){body{background-color:#222;color:#d9d9d9}}</style><meta http-equiv="refresh" content="120"></head><body class="no-js"><div class="main-wrapper" role="main"><div class="main-content"><noscript><div class="h2"><span id="challenge-error-text">Enable JavaScript and cookies to continue</span></div></noscript></div></div><script>(function(){window._cf_chl_opt={cvId: '3',cZone: "publications.waset.org",cType: 'non-interactive',cRay: '913559c519d9482e',cH: 'dVPPLsXqTLQP9VTTqWeuhK5QXeI2DR1.4O0yYefG4J8-1739790833-1.2.1.1-gIyvs_lvC5A64EBJmeBXGDygiiQfkZhu3agwHXqGZCg46UcVETYndym9VmansV8D',cUPMDTk: "\/abstracts\/88894\/a-folk-theorem-with-public-randomization-device-in-repeated-prisoners-dilemma-under-costly-observation?__cf_chl_tk=gFkYb7fHh51tFLRNYxCoIW0KjaR7KY0HLlo.RKyOdKo-1739790833-1.0.1.1-1zr8UxYLwyQKslJXFO9UFlgbxzIaBa.J.2LkbEC_92w",cFPWv: 'b',cITimeS: '1739790833',cTTimeMs: '1000',cMTimeMs: '120000',cTplC: 0,cTplV: 5,cTplB: 'cf',cK: "",fa: "\/abstracts\/88894\/a-folk-theorem-with-public-randomization-device-in-repeated-prisoners-dilemma-under-costly-observation?__cf_chl_f_tk=gFkYb7fHh51tFLRNYxCoIW0KjaR7KY0HLlo.RKyOdKo-1739790833-1.0.1.1-1zr8UxYLwyQKslJXFO9UFlgbxzIaBa.J.2LkbEC_92w",md: "8hQRmaRLCcpm58RrsqrDnHbkOpZSyU7V4GthVK1C8Ew-1739790833-1.2.1.1-zggVbdC5i8EE8R7ye7jc9Zgdh6H8XCC.JWPIjVuT9g4SYm4pSEW6ccTS1P8qCWI1MxEuTd_gyee_NjYjlRVUHAEsXEeQTF6ZR1c43X0Nw8mL532sKndpcU53NjcIThJaHWjJu0F3KbLibObA51Zbxhr9SYbxxVw57q4MQmuPPQXQcweDNSQT7Gkbi1luQbml4noNcEFZmuwx6f2icyx3v.N_kAv3DyUswUInM.9GFcyQWrU3q6.wft7fZR1M.MsjnkD13AIiaLPBO2oyuIap3vBdUbhS7loglZLRYAHZHoJP9xwpjjAwOubIzZT4EacLADpvg..rTUpX1iGCaRvQrZqBlw8SJ8IkdmGczG0OQyq0vTpiQDxJS2w_nkW0OMB4.0FXqIvyH0AnBw0JqV3tkpPM37ZqhWN7XYnWqwI88wHQOBH9K.z7q916mBVqG6sMlAb_1lGMC93OyFBoevIyyDOBdvNkSQMV1ZW4T6PQQt0sTNvsR_0KcxETStBnWy97plNhHEeZEmrTvxrFhRBQK4DQCGGRRveiK_GZ7_kYpciEiAEwVl3v4gAoaM0pDXJ_6.5gatxXcNfXg448mkQ5qvxn9nV62pudmxeh8MeowdvXJlfGDCp6ln6blj78H0bK8UhQuhP4PuOF_pQ6lPEL8SjECqBrsaapgvdmRBDPjIIfoiURpZ3ngDMz7XO43u.LTPyD0J0lVItZUFo75Rs2RG1VD28R8a3m89jJ3j1rXARJuGfT3PieLW40m.bllhjNvoQyJUzHd__.Ad6RMGn_4gObk1DvfCG9gwZyTi7RVVz6BIlsHr7LU_5lvbWzJT4Nhs44d2aHENQtiFQjQWqZm_I70pwAnnrgACU.mua_p6UYbjN8X2R0DQY.cdKEq2k5gjZXjDPr1U313HonKq_NFoYqRoR3zOvAA68x3jEyDw.GQqrlXk.w0FgleJXNv.ebPOM69OMw1IF5nLbdSuQ.9RTp6r7EEccfHcBZd7IqiAPFHzpR0m2.6U4OmyJzBZVz34x8mXaOhz4My8eQwYRuX7Wxc3ILhHLgdq7bqb.24eau4uO1SnNKWUEJNDVyFpMbYYlNSNBQP7gNvEH31v8nj6r9Gn8IB4idZm6kDZR7UA.c00caDpoLoohXcmyPFHaVLDpT.U9WavQMbjM4Ghzvg3G2FxDdfTMbuU_uoxM9OxEeZgBFQmRPIiTIxD5eXpN7.IIfcHOGcraUFJ5qPWBoAmE1Keb7CdZQr9GsLb_v7sD2nLz2JVwQd4vtcsk0T8ljtEieobJA3nSBmgpAHx7WahjvYo1U3m5SmFxXX2DGTnJr6DyNhuiXDUlgtIqa4JfE..1d3jitr019KnhFjwGwDI55fKchyEd_qIl99puyxxBTQmdGL0UqmtmI3eIKffC2AkW7VOkA54JVknXpRExwnJGnFQ1GOmh0mtErByIoVd1QSKeNX01fG1CG_.vEFoBPy6UNlq7ZM0x3vc.sXe2HeqxEagFQ_O6519M9Hhst9EnAngapR42xs40bpj9FgH1UZTAblXEhZYT61nFxsQLoXxZ8z3BP3g0JokphuPINhrBl_mGT9BoS2IQW_J7wZHh.yqDYiNvZGTOn3fzpR37GskejPFUYwQ9g.BHy9_F07PCEwnXzkQLExB9yEtp_M2OXa8Eh074vQmJuMYr73i6KTXQWRWvE3LuynSfqsvkLLzf0Zm7LZ2kWicfwvQdAt0GHNlj1OAPr4ChuI.iyBYIBH4bdM3pG4uRJD2UofxDCHUupH7ilOAPSzG3uVHs4JPHYue_1Sn4GxojVjIIOtbh04C0gAsFcz4ReLgRPzt92Qx8ij3PMzLkoy7zJ4sfIIJBagYzy9AILaMhwG4s3IGmJ6BkdSpAoQkt_KCxGLuLTfcq4GMDtZ7RUUx.Z018VA2dL3gd8tzFRm3CW1XiPJozh6P9f0Jj6r1MP9fDd6lgAKiX4MjoNIIZdkXukLXANke7dwMQgMQOTksNQRhiH4AEW1rK1J0U1OL9bVb8GV_.1NWp7q1UAH0mJ.b6kIdEFukc86lAbpvgQREyA8jtliKx78EEBJ4JkRBwN1F_5lkJ.122bH5i9MTg.q2sBoqBktVD2xpot9aqfvR3xlvxzd.vEM7PsXzZV0aQfmpwZcnrFli_Oh3iZQbkRwws6hg0J4iPM",mdrd: "3AVoYITcedpqimNCDRWI8yJrvJbEZVD4f7H69net8gA-1739790833-1.2.1.1-5_Eg0iqqjocIiiqZvgucl3cDLbH3dGdbyShA6TKKurRDeHXI3wASuYWp3Tpc8k_Pg0yCTX1l2MJianpWvZuSviWrBE8XmtbBmNxs5fjev3iz3EXL2J9RzPOBqs2asOkpRvoWbko0J3PcD51vO8kj.EQ4mtQc6dHXuvxfwdKgivhSEALxTHtBFuVScJUwFNgE6NFMTRnTqd3FnbmXwgWQrkUpoyXbFZqJZKBVWkAViygQ7g5r1_n1dmhIBvQB8xlIIdoLYZwwyqmyIY9nFnBv0WkSfKi2QtQNUFsvUlN74YUN7EIDBXkqXmuy21oerBUyvmL1hqxGyAw.CKhIcebnbw2RlWh.SJ1xdpkxjUoJqMCABeXRpcPrIngSWoyIaOcARB0RYZpbTuY_HBJg0c4wNZn1vfOgIEvm6SlYGTmKafAggh21nNR99WfNagaY9PppNfzsLDUp_YHmtTPzIcAoZxKoBVck8iLWz3ct3DONOxt1HH8z4rCND.Uo5qWvzQlujAUqD20Lcqj9KpRv2LQ6C8O9supMxk5Bmb07Q2fDkN_8jXZXa7qBWaUTS1FdWBHlraNv9VZ7HkMEqD3FKNEiDJJ8.iRNkJO5HVP9PCYEBYOP81D3dPZ.qNm_r6JkIjdOEUaWhpvIYZwxGUOip5CwDAQHbtdU.PZ.9eQI4myoMuUwOCLoiLrnNOO1OMx6LB6oSxHyyuH8zXqljbYXYY6KdisvTicilZMxjJE4Pekg7q70oh8ezzKS5YwKcTV5zgecqY08SfIa6yz99BNpT7cYBlNBAWpE5nmET4JEsQ9O03rg9Zr0LSaIEsGH32vqaRWdbj5nIYDbFE8067j_7gvUAQ2lAr2nE7bb2WauJI11FPhwT1UBuGDCzgAPsvhNOpUpccwvPWlmtcYMeuNM5lSxEnj.5PiIDHO2RDzx5jVPvG_84xuKw8_pPMhWrrIVek0v9duX4zXC3CptUBQrajT_uSGO4op_QGCJwGcLSjJtZRQ9Rz5U7Gn4puS9puai4rxCQFaDqNlVk6v0hiGSXNTYahxYQADE4d9.mmOMSrZGJ_Deccsr8Oz1AK0bEs9K5Na193CiodzZ4btYIZx8fxwd2h8CZsT2Hc8W9OkM9Lc0E4yAx1_dpHbhl10t6VuL8JgB5Xfy.yDirEWiDCwnwQ5DqELFqmUDmxDO0ArQ6aOetxmo_egimvvdASfFLMVu67BjLgXBay6eifU6NRYY40doMkthIobzePXtpheBT_lH7Mp6iTd0.5iV87VCueNr1SOs7QziFy90fnktG0LeYG3tSnm6V7gGl58ZR3A.7g38lBT5eQip.1UnMFCvmX6XIBq9riKmjj4swjltGw9JN7y.cVvIsFtJ1BtuS2XCKqOm8arw9LKm3PADRgbmCR5aim.QKXGl8pwCHoJfVTdubc8Sx7UZYMfA6WkL.nA811SmoaT6rfrZmRy8Bwc8xuGbsC5hmgaen9egaX3KXnszQptGzio..BlFaoQ3RAP3GI3gYakhy89Zd4Vj7X5xrC.PHP7bXnafHJSEprbrpW9uD.aoN7nMJ5IqluB4t4tCoaBkMu4SLP5h7bKOMa0NVjH6739BERAR8QERbyIh8Eer8eNWkJSqzsKS0XkrmTu09yoUPcj.F_M1zNwwsGY1KR0uP.8T1A0uaHubYRll7n7dOzKw.OUwsLGtHSrYPaYt2G7m5zcmVCdOhJ54IxHIsdcdCf1zh7_uYO0bS5C9HRxcEeuBsABZv5.5r8XpuP75kbQk1lyZF43AZwtHdFox7wGRNurnfosjUV3bW5waT.7SsgiVZAM4XG5ChyRusKqr9DZFnMmHpD7ZxI5dkos6WMMjkuGe3ousUSzdKvu7Mlu.xPJ9Y83tOvoW99NCVwLnRc1CBieUZq9dSWRBYGZqfHX60jxvtUjxopxSrhaR3V38UkkKkR30wP8RYmNuNeAz53lo1_U16hsGoN9d6cZ1k_w_cvdE"};var cpo = document.createElement('script');cpo.src = '/cdn-cgi/challenge-platform/h/b/orchestrate/chl_page/v1?ray=913559c519d9482e';window._cf_chl_opt.cOgUHash = location.hash === '' && location.href.indexOf('#') !== -1 ? '#' : location.hash;window._cf_chl_opt.cOgUQuery = location.search === '' && location.href.slice(0, location.href.length - window._cf_chl_opt.cOgUHash.length).indexOf('?') !== -1 ? '?' : location.search;if (window.history && window.history.replaceState) {var ogU = location.pathname + window._cf_chl_opt.cOgUQuery + window._cf_chl_opt.cOgUHash;history.replaceState(null, null, "\/abstracts\/88894\/a-folk-theorem-with-public-randomization-device-in-repeated-prisoners-dilemma-under-costly-observation?__cf_chl_rt_tk=gFkYb7fHh51tFLRNYxCoIW0KjaR7KY0HLlo.RKyOdKo-1739790833-1.0.1.1-1zr8UxYLwyQKslJXFO9UFlgbxzIaBa.J.2LkbEC_92w" + window._cf_chl_opt.cOgUHash);cpo.onload = function() {history.replaceState(null, null, ogU);}}document.getElementsByTagName('head')[0].appendChild(cpo);}());</script></body></html>